Section: ENGLISH
Question 1
The purist's art is
D free from any encumbrances or concerns about what the world or anyone else might think of it
In paragraph 2 lines 2, 3 and 4 the author states – “That artist can afford to be a “purist,”….product art free of any encumbrances…….”. Hence, choice “d” is the correct answer.
Question 2
The "realities of the marketplace" approach entails
(a) "prostituting" one's art by putting a dollar price on it
(b) gauging the market value of one's art and then putting a price on it
(c) compromising on one's estimation of one's own art as far as its worth in financial terms is concerned
(d) subjecting one's art to the buyer's interpretation of it
(a) "prostituting" one's art by putting a dollar price on it
(b) gauging the market value of one's art and then putting a price on it
(c) compromising on one's estimation of one's own art as far as its worth in financial terms is concerned
(d) subjecting one's art to the buyer's interpretation of it
B Only (b) and (d)
The realities of market place as per the author is pricing your piece of art as per what the buyers think is the right price. So “b” is definitely correct. You may be tempted to mark choice “d”, however the author does not state that the artist has to subject one’s art to the buyer’s interpretation of it, what he states is that one may price one’s piece of art as to what one considers the apt price but then one has to convince the buyers that the price is the correct price. So choice “b” is the correct answer.
Question 3
For an artist to sell his piece of art at a higher price range, he/she has to
D all of the above
In paragraph 4 and paragraph 6 the author has mentioned all of the points mentioned in choices “a”, “b” and “c” and hence “d” is the correct choice.
Question 4
The first piece of an artist that comes out in the market is seen as
D the inspiration for all his subsequent work
In paragraph 6 lines 7 and 8 the author states – “that drawing will hang framed and captioned as the first inspiration for all subsequent work”. Hence, choice “d” is the correct answer.
Question 5
From the point of view of the purist, the irony as far as pricing art is concerned is that
(A) a piece from his collection is eventually sold at the same price that he had estimated it to be its real worth years earlier
(B) his art is subjected to the same market forces against which he strove his entire life
(C) "realities of the marketplace" is a concept that negates the very attributes that we associate with art- whim, fancy and imagination
(A) a piece from his collection is eventually sold at the same price that he had estimated it to be its real worth years earlier
(B) his art is subjected to the same market forces against which he strove his entire life
(C) "realities of the marketplace" is a concept that negates the very attributes that we associate with art- whim, fancy and imagination
C only (B)
In the second last paragraph the author states that unless that (purist) artist leaves specific instructions in his or her will for that body of work to be destroyed, it will become subject to those market forces that the artist survived for a life-time to avoid. This makes “c” the correct choice.
Question 6
Each question consists of two capitalized words that have a certain relationship to each other, followed by 4 pair of words. Choose the pair that is related to each other in the same way as the capitalized pair.
ENCUMBRANCE : BURDEN
ENCUMBRANCE : BURDEN
A Mnemonic : Memory
‘Encumbrance’ and ‘burden’ are actually synonyms. The only pair of words which are possibly synonyms are ‘mnemonic’ and ‘memory’. Mnemonic means “a system such as a pattern of letters, ideas, or associations which assists in remembering something” i.e. an aid for memory.
‘Blatant’ is the opposite of ‘subtle’.
‘Captious’ means “finding fault” while ‘acrimonious’ means ‘bitter or angry’ – these are words that are unrelated.
‘Feral’ means “in a wild state, especially after escape from captivity or domestication” which is clearly the opposite of ‘cultured’.
‘Blatant’ is the opposite of ‘subtle’.
‘Captious’ means “finding fault” while ‘acrimonious’ means ‘bitter or angry’ – these are words that are unrelated.
‘Feral’ means “in a wild state, especially after escape from captivity or domestication” which is clearly the opposite of ‘cultured’.
Question 7
Each question consists of two capitalized words that have a certain relationship to each other, followed by 4 pair of words. Choose the pair that is related to each other in the same way as the capitalized pair.
SUBSEQUENT : PREVIOUS
SUBSEQUENT : PREVIOUS
A Significant : Inconsequential
Question 8
The synonym of the word PRECIPITATE in the context of the passage is
B trigger
Question 9
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
I wish you _______ louder as I can't hear what you say.
I wish you _______ louder as I can't hear what you say.
C would speak
The verb ‘wish’ here expresses a situation that we are not happy about and where we want someone else to change them. In such a situation, ‘wish’ will be followed by the construction ‘would + verb”.
Question 10
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
The audience ________ to take their seats please.
The audience ________ to take their seats please.
D are requested
Clearly, the audience is referred to as a plural i.e. as individual members as is indicated by the possessive pronoun ‘their’. Hence the verb should also in the plural form i.e. ‘are requested’.
Question 11
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
It ______ all day yesterday before the garden wall collapsed.
It ______ all day yesterday before the garden wall collapsed.
C had rained
In this sentence there are two actions i.e. rain and collapse (of the wall). Clearly the wall collapsed after the rain. Since the verb collapse has been expressed in the simple past tense, the previous action must be expressed in the past perfect tense.
Question 12
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
Each member of this group ______ guilty.
Each member of this group ______ guilty.
A is
The use of the indefinite pronoun ‘Each’ clearly indicates that the verb must be singular i.e. ‘is’. Note that option c i.e. ‘is guilty’ is unnecessarily wordy as there is no need for the present continuous tense ‘is being’.
Question 13
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
The Prime Minister _____ to visit the hospital tomorrow.
The Prime Minister _____ to visit the hospital tomorrow.
B is
The infinitive, ‘to visit’ after the blank indicates that the verb that will fill the blank must be a standalone one. Thus ‘will’ and ‘must’ are ruled out as these modal verbs will need a main verb to complete the construction. Also ‘have’ is incorrect as it is plural while the subject ‘Prime Minister’ is singular. The best choice here will be ‘is’.
Question 14
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
Last night the radio said that the volcano, Etna, in Sicily .............
Last night the radio said that the volcano, Etna, in Sicily .............
A will erupt
Since the first verb ‘said’ is in the simple past tense, the description of the radio message cannot be in the simple present (erupts) or the present progressive (is erupting). Also, the use of present progressive ‘has to erupt’ does not make a meaningful sentence. The most appropriate choice here will be ‘will erupt’ i.e. the radio message predicted that the volcano ‘will erupt’.
Ideally we must use ‘would’ instead of ‘will’ since this is a case of future in the past.
Ideally we must use ‘would’ instead of ‘will’ since this is a case of future in the past.
Question 15
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
They say that the Princess _______ incognito at the Sheraton.
They say that the Princess _______ incognito at the Sheraton.
B is staying
Clearly the subject is ‘the princess’ i.e. a singular one so the verb cannot be plural as it is options a and c. Also in option d, the use of the future perfect continuous tense is not needed here (the action ‘staying’ does not have any duration).
Question 16
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
She ______ in Calcutta for a quarter of a century now.
She ______ in Calcutta for a quarter of a century now.
C has been living
The fact that there is a mention of the duration ‘for a quarter of a century’ indicates that we must use the perfect tense. Also the word ‘now’ indicates that the action is still happening in the present, so we must use the present perfect continuous tense i.e. ‘has been living’.
Question 17
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
When we went to their home, Sushma ............. some fresh coffee for us.
When we went to their home, Sushma ............. some fresh coffee for us.
A made
The action in the blank is immediately following the other action i.e. ‘went’ which is in the simple past. So we must maintain consistency by using the same tense for both actions that occurred simultaneously i.e. ‘made’.
Question 18
Complete the sentences by filling in the blanks with the correct tenses from the given choices by indicating your option for each question:
Evidence shows that Jackson _______ inside the house at the time of the murder.
Evidence shows that Jackson _______ inside the house at the time of the murder.
A was
Here even though the first verb ‘shows’ is in simple present tense, the evidence clearly ‘shows’ something in the past. So we must use the simple past tense i.e. ‘was’.
Question 19
Choose the word or phrase that best completes the sentence from the given alternatives.
Indicate your option.
To answer accurately is more important than to
Indicate your option.
To answer accurately is more important than to
B finish quickly
Here we are comparing two actions/activities i.e. A is more important that B. The first thing is an infinitive followed by the adverb ‘accurately’, so the second thing must also be in the same form i.e. finish quickly.
Question 20
Choose the word or phrase that best completes the sentence from the given alternatives.
Indicate your option.
Professional people now-a-days appreciate _________ when it is necessary to cancel an appointment.
Indicate your option.
Professional people now-a-days appreciate _________ when it is necessary to cancel an appointment.
A Your calling them
The word appreciate preceding the blank indicates that the blank must have the object of their appreciation. Now, clearly this object will be the action of ‘calling’ and not the person who calls. Hence correct choice is option a i.e. ‘your calling them’.
Question 21
Choose the word or phrase that best completes the sentence from the given alternatives.
Indicate your option.
Who will _____ the children when their mother is in the hospital?
Indicate your option.
Who will _____ the children when their mother is in the hospital?
A look after
The meaning of ‘look after’ is ‘to take care of’ and this is appropriate here.
Question 22
Choose the word or phrase that best completes the sentence from the given alternatives.
Indicate your option.
The teacher gives many examples to ________ the idea contained in the poem.
Indicate your option.
The teacher gives many examples to ________ the idea contained in the poem.
D bring out
The most appropriate phrasal verb here is ‘bring out’ which means ‘to expose or reveal’.
Question 23
Choose the word or phrase that best completes the sentence from the given alternatives.
Indicate your option.
That magnificent _________ temple was constructed by the Chinese.
Indicate your option.
That magnificent _________ temple was constructed by the Chinese.
D eight-century-old
When used as an adjective, we must use the singular ‘eight-century’ (similar to ‘The rains finally halted the 4-year dry spell in Gujarat).
Question 24
Choose the word or phrase that best completes the sentence from the given alternatives.
Indicate your option.
Wheat is not native to India and Barley ______.
Indicate your option.
Wheat is not native to India and Barley ______.
A isn't either
The use of ‘is not’ indicates in the first part indicates that the blank must be parallel in construction i.e. ‘is not either’ or ‘isn’t either’.
Question 25
Choose the word or phrase that best completes the sentence from the given alternatives.
Indicate your option.
Encounters between people from different countries can result in misunderstanding _______ different concepts about space.
Indicate your option.
Encounters between people from different countries can result in misunderstanding _______ different concepts about space.
D because of their
The best choice here is option d. In option a, the subjective pronoun ‘they’ must be followed by a verb – that is missing here. In options b and c, the verb ‘is’ is not needed. Option d mentions ‘their different concepts about space’ as the reason for misunderstanding and is hence correct.
Question 26
Choose the correct answer which is closest in meaning to the word/ phrase in Italics given in the sentence. Indicate your option.
You may think at first that it is queer to talk of having too much paper money and that money is so nice and useful that you cannot have too much of it.
You may think at first that it is queer to talk of having too much paper money and that money is so nice and useful that you cannot have too much of it.
B Absurd
‘Queer’ means ‘strange or odd’ and the closest word will be ‘absurb’.
Question 27
Choose the correct answer which is closest in meaning to the word/ phrase in Italics given in the sentence. Indicate your option.
The government is under no obligation to offer contracts to companies which choose to flout guidelines.
The government is under no obligation to offer contracts to companies which choose to flout guidelines.
C Defy
To ‘flout’ means to ‘defy’ or disregard a rule.
Question 28
Choose the correct answer which is closest in meaning to the word/ phrase in Italics given in the sentence. Indicate your option.
Indians exhibited a remarkable solidarity at the time of war.
Indians exhibited a remarkable solidarity at the time of war.
D Unity
The best meaning of ‘solidarity’ is “unity or agreement of feeling of action”.
Question 29
Choose the correct answer which is closest in meaning to the word/ phrase in Italics given in the sentence. Indicate your option.
His impeccable style caught the attention of all critics.
His impeccable style caught the attention of all critics.
A Faultless
The meaning of ‘impeccable’ is ‘faultless or in accordance to the highest standards’.
Question 30
Choose the correct answer which is closest in meaning to the word/ phrase in Italics given in the sentence. Indicate your option.
The inspector was a vigilant young man.
The inspector was a vigilant young man.
C Watchful
To be ‘vigilant’ is “keeping careful watch for possible danger or difficulties” i.e. “watchful”.
Question 31
Choose the correct answer which is closest in meaning to the word/ phrase in Italics given in the sentence. Indicate your option.
The young man is quite sanguine about the result of his competitive examination.
The young man is quite sanguine about the result of his competitive examination.
D Optimistic
The meaning of ‘sanguine’ is ‘optimistic or positive’.
Question 32
Choose the correct answer which is closest in meaning to the word/ phrase in Italics given in the sentence. Indicate your option.
It was a scurrilous attack on him.
It was a scurrilous attack on him.
C Insulting
‘Scurrilous’ means ‘making or spreading scandalous claims about someone with the intention of damaging their reputation’ and the ‘insulting’ is the closest is meaning.
Question 33
Choose the correct answer which is closest in meaning to the word/ phrase in Italics given in the sentence. Indicate your option.
Both parties were amenable to a peaceful settlement of the land dispute.
Both parties were amenable to a peaceful settlement of the land dispute.
B Responsive
The meaning of ‘amenable’ is ‘open and responsive to suggestion’.
Question 34
In the following questions, four alternatives are given for the idiom/ phrase marked in Italics in the sentence. Choose the alternative which best expresses the meaning of the idiom/ phrase from the options given. Indicate your option
The neighbour had to pay through his nose for a brand new car.
The neighbour had to pay through his nose for a brand new car.
C Pay an extremely high price
To ‘pay through the nose’ means to ‘pay much more than the fair price’.
Question 35
In the following questions, four alternatives are given for the idiom/ phrase marked in Italics in the sentence. Choose the alternative which best expresses the meaning of the idiom/ phrase from the options given. Indicate your option
If he phones again, I am going to give him a piece of my mind.
If he phones again, I am going to give him a piece of my mind.
C To reprimand
To “give someone a piece of one’s mind” is “to tell someone how one feels, often while expressing anger or frustration” and ‘to reprimand’ comes closest in meaning.
Section: GENERAL KNOWLEDGE
Question 1
The 2013 Nobel Peace Prize was awarded to
D OPCW
Question 2
The present Prime Minister of Bangladesh is
A Sheikh Hasina
Question 3
The President of South Africa at present is
B Jacob Zuma
Question 4
The former President who committed suicide in May 2009 was
D Roh Moo-Hyun of South Korea
Question 5
Who among the following has not won an Oscar?
D Dev Patel
Question 6
The present Chief Election Commissioner of India is
D V.S. Sampath
Question 7
76 CRPF jawans were killed recently by the Maoists in an ambush near
A Dantewada in Chattisgarh
Question 8
The National Dairy Research Institute in Haryana cloned a buffalo calf and named it as
C Garima
Question 9
The former Chief Justice of India who did not become the Chairperson of the National Human Rights Commission is
C Justice Lahoti
Question 10
The first sitting Head of the State to be charged with 'War crimes and crimes against humanity' by the International Criminal Court is
B President Omar al-Bashir of Sudan
Question 11
The former Chief Election Commissioner to be appointed as a Union Minister was
D MS. Gill
Question 12
India's Imperial Capital was officially shifted from Calcutta to Delhi in
A 1912
Question 13
The first Women's University was established in Pune during
C 1915
Question 14
How many official languages are mentioned in Schedule VIII to the Constitution of India?
B 22
Question 15
The present Committee on Centre-State Relations in India is headed by
A Justice Punnchi
Question 16
In India, women were allowed to contest election and to public offices for the first time in
C 1935
Question 17
The recently constituted Telangana Committee by the Central Government is headed by
B Justice Sri Krishna
Question 18
The Committee on Reforming Criminal Justice System in India was headed by
C Justice V.S. Malimath
Question 19
The first President of the Constituent Assembly of India established in 1946 was
B Sachidananda Sinha
Question 20
The Constitution of India was adopted on
A 26-Nov-49
Question 21
The film that won 14 Oscar nominations was
D All About Eve
Question 22
The first Indian to get a medal at the World Boxing Championship was
C Vijender Singh
Question 23
At the London 2012 Olympics, the highest number of medals were won by
B USA
Question 24
If the Anglo-Indian Community is not adequately represented in the election, the President can nominate to Lok Sabha from that community
B Not more than 2
Question 25
The right to Vote in India is a
A Constitutional right
Question 26
The maximum fine that the Central or State Information Commission can impose on a Public Information Officer for not furnishing the information within the stipulated time is
D Rs. 30,000
Question 27
Maximum number of gold medals won by an individual at Olympics in any event is
D 8
Question 28
The person who promoted the establishment of the International Committee of the Red Cross was
B Henri Dunant
Question 29
The first African to become the Secretary- General of United Nations was
C Boutros Boutros Ghali
Question 30
The present UN Secretary-General Ban Ki Moon is from
A South Korea
Question 31
Who said that Swaraj is my birth right?
B Balgangadhar Tilak
Question 32
Which of the following States got separated from India in 1937?
D Burma
Question 33
The first woman Prime Minister was
B Srimavo Bandaranaike
Question 34
The largest country in terms of territory is
A Russia
Question 35
The phrase 'cloud computing' means
A Delivery of hosted services over the internet
Section: LEGAL APTITUDE
Question 1
PRINCIPLE: An assault is an attempt to do a corporeal hurt to another, coupled with an apparent present ability and intention to do that act. A battery is the intentional and direct application of any physical force to the person of another.
FACTS: A was sitting on a chair reading a book. His friend, B decided to play a practical joke on him. Accordingly, he pulled the chair from under him, as a result of which A landed on the floor.
FACTS: A was sitting on a chair reading a book. His friend, B decided to play a practical joke on him. Accordingly, he pulled the chair from under him, as a result of which A landed on the floor.
A B's act amounts to a battery
Since B’s act of removal of chair led to application of physical force on A, it will amount to battery.
Question 2
FACTS: A was driving down a road heading to her house. As she reached close to her house, she found that a few people led by B, protesting against an unfair law had blocked the road. There was no alternate road to her house and hence she was stuck there for around 5 minutes.
C B and his group are not liable for falsely imprisoning A, since they did not totally restrain the liberty of A.
Here A was still free to move in any other direction as she desired. Hence, there was no absolute restraint. Don’t get misled by the words “There was no alternate road to her house.” She still had the option to go anywhere except her home. And in a situation where a person has a choice to go in a particular direction, he cannot be said to have been imprisoned.
Question 3
FACTS: A was suspected of having committed the murder of B. C, a policeman who was investigating into B's murder, saw A in a market. He went up to him, caught hold of his hand and prevented him from going anywhere.
B C is not liable for having falsely imprisoned A, since for the offence of murder, a policeman need not take the permission of a Magistrate to arrest
In this case C has a lawful excuse i.e. his duty as a police officer. For the offence of murder, a policeman need not take the permission of a Magistrate to arrest.
Question 4
PRINCIPLE: A libel is a publication of a false and defamatory statement tending to injure the reputation of another person without lawful justification or excuse. A slander is a false and defamatory statement by spoken words or gestures tending to injure the reputation of another.
FACTS: A wrote a letter to B calling him a cheat. B's clerk C opened the letter, as he normally did (a fact which was known to A and placed it on B's table. B alleges that A has committed libel.
FACTS: A wrote a letter to B calling him a cheat. B's clerk C opened the letter, as he normally did (a fact which was known to A and placed it on B's table. B alleges that A has committed libel.
A B will succeed since A has published a defamatory statement against A
Here, the written statement was read by C hence it can be said to be libel. B will succeed since A has published a defamatory statement against A.
Question 5
PRINCIPLE: A Master is liable for the acts of his servant as long as he can control the working of his servant.
FACTS: A owned a taxi agency. She had hired B to drive one of her cars. On January 1, 2010, C called up A's taxi agency and asked for a car to drop him from his house to his place of work. On the way, because of the driver's negligence, the car hit a road divider and C was injured. He sued A for damages.
FACTS: A owned a taxi agency. She had hired B to drive one of her cars. On January 1, 2010, C called up A's taxi agency and asked for a car to drop him from his house to his place of work. On the way, because of the driver's negligence, the car hit a road divider and C was injured. He sued A for damages.
C A is liable because B was employed by her and was in her control
Here B was in his course of employment and hence was under the direct control of A.
Question 6
FACTS: A owned a bus and he had hired B to drive it and C to be the conductor. One day, when B had stepped out of the bus to have a cup of coffee, C decided to turn the bus around so that it was ready for its next trip. While doing so, C ran over D's leg, causing major injuries to him. D sued A for damages.
B D will not succeed since A had not authorised C to drive the bus
C decided to turn the bus on his own. D will not succeed since A had not authorised C to drive the bus. Principle clearly states that for acts committed beyond the scope of employment, the master is liable only if he has expressly authorised the act.
Question 7
FACTS: A owned a truck and he had hired B to drive it. On one of its trips, C flagged the truck down and asked to be dropped to nearby city. B agreed to do so for a small amount of money. The truck met with an accident en route, in which C was badly injured. C sued A for damages.
C A will not be liable since taking passengers in a truck had no connection with his business
His course of employment only extends to the purpose given by A. Him taking passengers doesn’t fall under it. Therefore, A will not be liable since taking passengers in a truck had no connection with his business.
Question 8
FACTS: A handed over Rs. 5,000 to her neighbour B, who was an employee of a bank, and asked him to deposit the money in her account. Instead of doing so, B spent the money. A sues the bank for damages.
C The bank will not be liable since A gave money to B in his capacity as a neighbour and not as an employee of the bank
The bank will not be liable since A gave money to B in his capacity as a neighbour and not as an employee of the bank. Bank would have been liable if it had asked ‘B’ to collect money from ‘A’.
Question 9
PRINCIPLE: When a criminal act is done by one person in furtherance of the common intention of himself and some other persons, each of such person is liable for the act in the same manner as if it were done by each one of them.
FACTS: A, B and C decided to commit burglary. They broke into a locked house. However, before they had finished their work, a domestic servant appeared from the out-house and started shouting. A, B and C left the house and started running away. They were pursued by a small crowd. A, on being caught by X, one of the persons pursuing them, stabbed him and ran away. By the time B and C had disappeared. X died on account of the stab wounds. Later, the police arrested all the three. They were charged for attempted burglary and murder of X.
FACTS: A, B and C decided to commit burglary. They broke into a locked house. However, before they had finished their work, a domestic servant appeared from the out-house and started shouting. A, B and C left the house and started running away. They were pursued by a small crowd. A, on being caught by X, one of the persons pursuing them, stabbed him and ran away. By the time B and C had disappeared. X died on account of the stab wounds. Later, the police arrested all the three. They were charged for attempted burglary and murder of X.
C A alone is guilty of murder because though there was common intention to commit the offence of burglary, there was no common intention to commit the offence of murder
A alone is guilty of murder because though there was common intention to commit the offence of burglary, there was no common intention to commit the offence of murder. Murder was not committed in furtherance of common intention of all.
Question 10
PRINCIPLE: A person is liable for any damage which is the direct consequence of his/her unlawful act, as long as the consequence could have been foreseen by a reasonable person.
FACTS: During a scuffle, A knocked B unconscious and then placed B at the foot of a hill at night, when the temperature was around one degree centigrade. B suffered from hypothermia and had to be hospitalised for a week. B sues A.
FACTS: During a scuffle, A knocked B unconscious and then placed B at the foot of a hill at night, when the temperature was around one degree centigrade. B suffered from hypothermia and had to be hospitalised for a week. B sues A.
A B will be liable for the act, since the consequence was a direct and foreseeable consequence of his act
Placing someone at the foot of a hill at night, when the temperature was around one degree centigrade undoubtedly creates a foreseeable presumption that it can cause hypothermia. B will be liable for the act.
Question 11
PRINCIPLE: The owner of a land is entitled to the column of air space above the surface ad infinitum. But, the right is restricted to such height as is necessary for the ordinary use and employment of his land, and the structure on it.
FACTS: A had constructed a single-storeyed house on a comer site. He had no intention of building an additional floor. B his neighbour, who ran an internet parlour got a hoarding made, which protruded over A's house at a height of around 6 feet above the terrace. A sues B for trespass.
FACTS: A had constructed a single-storeyed house on a comer site. He had no intention of building an additional floor. B his neighbour, who ran an internet parlour got a hoarding made, which protruded over A's house at a height of around 6 feet above the terrace. A sues B for trespass.
A A will succeed since B's act amounts to trespass
6ft height space is necessary for the ordinary use and employment of his land, and the structure on it. Any interference into such space will amount to trespass.
Question 12
PRINCIPLE: The owner of a land is entitled to the is the wrongful and unwarranted entry upon the land of another.
FACTS: A purchased a ticket to watch a movie in a theatre. After the show got over, A refused to leave the theatre. The owner of the theatre sues A for trespass
FACTS: A purchased a ticket to watch a movie in a theatre. After the show got over, A refused to leave the theatre. The owner of the theatre sues A for trespass
C He will succeed since A's authorisation to remain in the theatre ends with the show
As soon as the movie ended, his entry became unwarranted and therefore his presence will amount to trespass. He will succeed since A's authorisation to remain in the theatre ends with the show
Question 13
PRINCIPLE: Negligence is the breach of a duty caused by an omission to do something which a reasonable person would do or an act which a prudent and reasonable person would not do. An action for negligence proceeds upon the principle that the person has an obligation or duty on the part of the defendant, which he/she breaches, leading to damage.
FACTS: A, a surgeon operated on B. Subsequent to the operation, B complained of pain in his abdomen. On examination, it was discovered that A had left a mop in B's stomach while operating.
FACTS: A, a surgeon operated on B. Subsequent to the operation, B complained of pain in his abdomen. On examination, it was discovered that A had left a mop in B's stomach while operating.
A A will be liable for negligence, since there is a breach of the duty of care
There was a duty of are to perform the operation properly in which A failed and there was subsequent arm in the form of stomach pain. A will be liable for negligence, since there is a breach of the duty of care
Question 14
FACTS: A sent a letter to B stating that he was willing to sell to B, 10 bags of rice at Rs. 20 each. B made a telephone call to A to inform him that he had accepted the offer. Just as he was stating his acceptance, a very noisy aircraft flew over B's house. A was not able to hear the acceptance.
A There is no contract since the acceptance has not been notified to A
Notification is only complete when it comes to the knowledge of the other party, which, in this case did not happen. There is no contract since the acceptance has not been notified to A
Question 15
FACTS: A sent a letter to B stating that he was willing to sell to B, 10 bags of rice at Rs. 20 each. B wrote a letter to A accepting the offer and posted it.
B The contract is entered into only after A receives and reads the letter
Notification is complete as soon as the letter is read and it comes to the knowledge of B. The contract is entered into only after A receives and reads the letter
Question 16
FACTS: A sent a letter to B stating that he was willing to sell to B, 10 bags of rice at Rs. 20 each. B sent an e-mail to the address mentioned in the letter-head, accepting the offer.
B The contract is entered into only after A sees the e-mail
Notification is complete as soon as the mail is read and it comes to the knowledge of B. The contract is entered into only after A sees the e-mail
Question 17
PRINCIPLE: An agreement becomes a contract when it is entered into between two or more people with each other's free consent. Two or more people are said to consent when they agree to the same thing in the same sense. Consent is said to be free when it is not caused by coercion, undue influence, fraud, misrepresentation or mistake.
FACTS: A went to a doctor to get himself treated. The doctor asked him to sign a "consent form" and said that unless he signs it, he will not examine him. A signed the form waiving his right to sue the doctor.
FACTS: A went to a doctor to get himself treated. The doctor asked him to sign a "consent form" and said that unless he signs it, he will not examine him. A signed the form waiving his right to sue the doctor.
A This is a valid contract since A understood and consented to the terms
Consent is free as it is not caused by coercion, undue influence, fraud, misrepresentation or mistake. A was free to not sign and visit any other doctor. This is a valid contract.
Question 18
PRINCIPLE: Where both parties to an agreement are under a mistake as to matter of fact essential to the agreement, the agreement is void.
FACTS: A had a piece of land. He believed that the value of the land was Rs. 1,000 per square foot. B knew that the value of the land was in fact Rs. 1,500 per square foot. However, he did not inform A and purchased the land at Rs. 1,000.
FACTS: A had a piece of land. He believed that the value of the land was Rs. 1,000 per square foot. B knew that the value of the land was in fact Rs. 1,500 per square foot. However, he did not inform A and purchased the land at Rs. 1,000.
D The contract is valid since the land has already been purchased
The contract is valid since the land has already been purchased and as per the principle, mistake of fact must exist on part of both the parties to contract but in the given facts, only A is mistaken with respect to the value of land.
Question 19
FACTS: A and B entered into a contract, whereby A agreed to get married to B, if her parents paid A Rs. 1,00,000 before the wedding. B's parents failed to pay the promised amount. A sues B and her parents.
C A will not succeed since the contract is void, it object being against the law
This amounts to dowry which is illegal under the law. A will not succeed since the contract is void, its object being against the law.
Question 20
FACTS: A was arrested by the police for committing an offence and was subsequently granted bail by the Court. One of the conditions imposed by the Court for granting bail was that A arrange for a surety for Rs. 50,000. A approached B to be a surety. B agreed, but insisted that they enter into a contract whereby A would deposit Rs. 50,000 into B's account, which would be returned to A by B after the case was over.
A The contract would be void since its effect is to defeat the provisions of the Cr.P.C.
The contract would be void since its effect is to defeat the provisions of the Cr.P.C and as per the principle, the object of an agreement will be unlawful if it is forbidden by law; is of such a nature that, if permitted, it would defeat the provisions of any law.
Question 21
FACTS: A and B, a Hindu couple were married to each other. Owing to differences between them, they decided to get divorced. They entered into a contract laying down the conditions that both parties had to adhere with. One of the terms of the contract was that their children would not be entitled to claim the ancestral property of A, the husband.
B The contract will be void since its terms is opposed to the personal laws of the parties
The contract will be void since its terms is opposed to the personal laws of the parties since as per the principle, the object of an agreement will be unlawful if it is forbidden by law; is of such a nature that, if permitted, it would defeat the provisions of any law.
Question 22
FACTS: The BCCI decided to hold an auction to sell IPL teams. 12 bidders registered for the auction. Unknown to the BCCI, these 12 bidders had entered into a contract that they would not bid more than a certain amount.
B The contract will be void since the object of the contract is to cause a loss to the BCCI
The contract will be void since the object of the contract is to cause loss to the BCCI.
Question 23
PRINCIPLE: Every agreement by which anyone is restrained from exercising a lawful profession, trade or business of any kind, to that extent is void.
FACTS: A company entered into a contract with Coca Cola Ltd. to bottle soft drinks produced by Coca Cola. One of the terms of the contract was that the company would not bottle soft drinks for any other competitor of Coca Cola during the pendency of the contract.
FACTS: A company entered into a contract with Coca Cola Ltd. to bottle soft drinks produced by Coca Cola. One of the terms of the contract was that the company would not bottle soft drinks for any other competitor of Coca Cola during the pendency of the contract.
A The contract is void since it restrains the lawful right of the company to engage in business
The fact that the company can’t bottle drinks for anyone else is a restriction on trade of the bottling company. The contract is void since it restrains the lawful right of the company to engage in business.
Question 24
PRINCIPLE: An agreement is void to the extent that it restricts absolutely, a party from enforcing his contractual rights by usual proceedings in any ordinary court.
FACTS: A and B entered into a transaction in Delhi for sale of goods based in Delhi. The contract stated that in case of a dispute, only civil courts in Chennai would have jurisdiction. Neither A, nor B resided or carried on business in Chennai.
FACTS: A and B entered into a transaction in Delhi for sale of goods based in Delhi. The contract stated that in case of a dispute, only civil courts in Chennai would have jurisdiction. Neither A, nor B resided or carried on business in Chennai.
A The contract is valid since it is still an Indian court that has jurisdiction
It doesn’t matter that neither A, nor B resided or carried on business in Chennai there is no absolute restriction on a party to file a suit.
Question 25
PRINCIPLE: An agreement, the meaning of which is not certain, or capable of being made certain, is void.
FACTS: A and B, who were brothers, entered into an agreement which stated that A would sell his entire share of the ancestral property to B. The agreement did not mention the specific details (like survey number) of the property.
FACTS: A and B, who were brothers, entered into an agreement which stated that A would sell his entire share of the ancestral property to B. The agreement did not mention the specific details (like survey number) of the property.
D The contract is valid since there is clarity about the property sought to be sold
The contract is valid since there is clarity about the property sought to be sold. The selling entire share in ancestral property is clear enough to ascertain the property intended to be sold. Mentioning specific details is not material when entire share in property is to be sold.
Question 26
FACTS: A had lent his watch to B for a period of a month. Two days after he had done so, he walked into B's office to find the watch on B's table. He decided to take the watch back. A was prosecuted for theft.
C A is guilty of the offence since he caused wrongful loss to B
The watch was taken by A out of B’s possession and had done so dishonestly with no intention to return. All the essentials mentioned in the principle are being fulfilled.
Question 27
FACTS: A handed over his watch to B for safekeeping. B sells the watch to C, which he was not authorised to do. B is prosecuted for theft.
B B is not guilty of theft because he was in possession of the watch
It wasn’t taken out of possession of A. A himself gave it to B. There is some other offence which is being made out however so far as theft is concerned, B is not liable for the offence of theft.
Question 28
PRINCIPLE: Whoever intentionally puts any person in fear of any injury to that person, or to any other, and thereby dishonestly induces that person so put in fear to deliver to any person any property, commits extortion.
FACTS: A entered B's house, caught hold of B's daughter C and threatened to stab her if A did not give him Rs. 10,000 immediately. B did so. A is prosecuted for extortion.
FACTS: A entered B's house, caught hold of B's daughter C and threatened to stab her if A did not give him Rs. 10,000 immediately. B did so. A is prosecuted for extortion.
B A has committed extortion
A intentionally put B in fear of injury to his daughter to induce Rs.10000 and thereby dishonestly induces that person so put in fear to deliver to any person any property and therefore commits extortion.
Question 29
FACTS: A entered B's house to take away her TV. When he was carrying the TV out of the house, he encountered B near the door. He left the TV behind and ran away.
D A has neither committed theft nor robbery
A has neither committed theft nor robbery. A may be held liable for attempt but that is not given in the option.
Question 30
FACTS: A entered B's house and was taking away her wallet and leaving the house, when he encountered B. He dropped the wallet, but shot her while escaping.
A A has committed robbery
A has neither committed theft, nor robbery committed robbery because in attempting to carry away property obtained by theft, A for that end, voluntarily caused instant hurt but dropped the wallet. He is actually liable for attempt to robbery. Since that is not the option given, (A) is least incorrect.
Question 31
FACTS: A went to B's house for dinner. He saw that B had a statue made of ice, which was kept in a freezer, A removed the statue from the freezer for a few minutes, which led to the hand of the statue changing shape.
B A has committed mischief because he should have known that his act was likely to damage the statue
It is likely that such act will cause damage as it did by disfiguring of the ice statue. A has committed mischief because he should have known that his act was likely to damage the statue.
Question 32
FACTS: A lent his laptop to B. When in possession of the laptop, B inserted a pen drive into the laptop. When he did a virus scan, he realised that the pen drive was infected. Since he urgently required a file that was on the laptop, he nevertheless opened the files on the pen drive, in the process infecting the laptop.
A A has committed mischief because he has affected the laptop injuriously
A knew the virus would cause damage or harm and yet he continued with it knowingly, hence, he committed mischief. A has committed mischief because he has affected the laptop injuriously
Question 33
PRINCIPLE: Whoever enters into or upon property in the possession of another with the intent to commit an offence or to intimidate, insult or annoy any person in possession of such property or having lawfully entered into or upon such property, unlawfully remains there with an intent to intimidate, insult or annoy any such person, or with the intent to commit an offence commits criminal trespass.
FACTS: A went to Delhi Law College to participate in a competition. After participating in the competition, A hid inside the campus so that he could steal a few books from the library.
FACTS: A went to Delhi Law College to participate in a competition. After participating in the competition, A hid inside the campus so that he could steal a few books from the library.
B A has committed criminal trespass
The extended stay for the purpose of stealing books was unlawful and amounts to criminal trespass as he stayed with an intent to commit an offence. A has committed criminal trespass
Question 34
FACTS: Nakshatra files a suit against Chandra for getting possession of a house on the ground that the property passed on to her through the Will executed by Surya before his death. The suit gets dismissed as Nakshatra fails to produce the Will. Nakshatra files another suit against Chandra to get the same house from the latter, on the ground that she was entitled to the house as being the nearest heir of Surya.
B Nakshatra will not succeed as the facts in both the cases are the same
Nakshatra will not succeed as the facts in both prior and subsequent suits are the same. It’s just that she has changed the matter of her claim while claim remains the same.
Question 35
FACTS: Mr. Sampath went to a party alone in his wife Sunanda's car. He usually used his wife's car after office hours and his wife never objected to it. At the party, he got drunk. Instead of taking the risk of driving the car, he requested his friend Mr. Vivek to drive him back home in Sunanda's car. Mr. Vivek was quite sober since he had moderately consumed alcohol. On the way, Vivek knocked down a boy and injured his leg. Subsequently, on behalf of the boy a claim for compensation was brought against Mrs. Sunanda since the car belonged to her and it was registered in her name. The insurance company refuses to pay compensation because the police report says that the person driving the car at the time of accident had consumed alcohol?
A Sunanda is liable to pay compensation, although she did not authorize Mr. Vivek to drive the car which caused the accident, yet it was registered in her name
Sunanda is liable to pay compensation, although she did not authorize Mr. Vivek to drive the car which caused the accident, yet it was registered in her name.
Section: LOGICAL REASONING
Question 1
If it is true that 'men are seldom honest', which of the following statement conveys the same meaning?
D Sometimes men are honest
Question 2
If it is false that 'men always obey the law, which one of the following statements is doubtful?
B All men obey the law
Question 3
If it is false that 'all men strive for the happiness of all', which one of the following statements is true beyond doubt?
D There are men who do not strive for the happiness of all
Question 4
From among the given alternatives, identify the missing premiss.
1st Premiss : If a plane triangle is possible, then perfect straight line is possible
2nd Premiss : If perfect straight line is possible, then Euclid is right
3rd Premiss:
4th Premiss : But Riemann is right.
Conclusion : Therefore a plane triangle is not possible.
1st Premiss : If a plane triangle is possible, then perfect straight line is possible
2nd Premiss : If perfect straight line is possible, then Euclid is right
3rd Premiss:
4th Premiss : But Riemann is right.
Conclusion : Therefore a plane triangle is not possible.
C If Euclid is right, then Riemann is wrong
Question 5
From among the given alternatives, identify the conclusion of the following argument
If A is B, then C is not D.
If C is not D, then E is not F.
If E is not F, then G is not H.
Therefore
If A is B, then C is not D.
If C is not D, then E is not F.
If E is not F, then G is not H.
Therefore
B If A is B, then G is not H
Question 6
From among the given alternatives, identify the conclusion of the following argument.
You cannot taste success in life unless you work hard.
You cannot be happy unless you taste success in life.
Therefore
You cannot taste success in life unless you work hard.
You cannot be happy unless you taste success in life.
Therefore
B You cannot be happy unless you work hard
Question 7
If the statement "All men desire their own welfare always" is true, then which of thefollowing statements must be false?
D It is not the case that all men desire their own welfare always
Question 8
From among the alternatives identify the statement which states the same fact as the statement "The dual nature of light is an enigma".
D It is surprising and puzzling that according to one study, light is made up of one type of constituents and according to another, light is made up another type of constituents
Question 9
Identify the statement which can be neither proved nor disproved.
A I have head-ache
Question 10
Identify the statement which cannot be doubted.
C I am alive
Question 11
If it is true that 'good governance ensures law and order', then identify the statement which has to be accepted along with the given statement.
C An able government very effectively uses the law to promote peace and prosperity
Question 12
Identify the statement which cannot be accepted.
C According to the heliocentric theory, the Earth is the centre of the solar system
Question 13
If it is true that 'religious fundamentalism is dangerous to society, which one of the following statements is also true?
D Disrespect for other religions is dangerous to the society
Question 14
Identify the argument which has to be accepted when the premiss is accepted as true.
D Nothing comes out of nothing. Therefore something must have existed always.
Question 15
Identify the argument which cannot be accepted.
A All Indians are Asians. All Asians are dark-coloured. Therefore All dark coloured are Indians.
Question 16
Till Nineties, clearly the policy of the government was guided by the philosophy of socialism. Under its influence, the government tried to exercise control in every field. But today we hear about disinvestment and privatization. Hence there is a clear shift from socialistic principles.
Which one of the following assertions, if true, contradicts the passage mentioned above?
Which one of the following assertions, if true, contradicts the passage mentioned above?
D The State is guilty of the dereliction of duty
Question 17
Geographical division of the Earth resulting in the so-called sovereign nations is artificial because it is man- made, just as division of society on the basis of religion, language, caste, etc., is artificial. While the so-called intellectuals raise hue and cry about the latter, they maintain divine silence about the former. Does it not amount to double standard?
Which of the following statements, if true, is the essence of the passage mentioned above?
Which of the following statements, if true, is the essence of the passage mentioned above?
D Patriotism is a barren concept
Question 18
It is argued that prosperity depends upon production which means more production more consumption. However, it is not the case. Consumption should be need based. Just as intake of food in excess of digestion is pointless so also consumption of natural resources beyond requirement is pointless.
Which of the following statements, if true, contradicts the spirit of the passage?
Which of the following statements, if true, contradicts the spirit of the passage?
B Prosperity without consumption is shallow
Question 19
It is true that agriculture is the backbone of nation's economy. But it is fallacious to argue that only agriculture should receive overriding importance. Agriculture also depends upon other sectors like generation and distribution of power, irrigation, transportation, etc.
If any one sector suffers, its fall-out is more than obvious.
Which of the following assertions, if true, is the summary of the given passage?
If any one sector suffers, its fall-out is more than obvious.
Which of the following assertions, if true, is the summary of the given passage?
C Budget allocation for each sector should be need based, neither less nor more, i.e., it should be optimum
Question 20
Education is one field which is totally non-remunerative. Still worse, it is a liability.
But then the government is not a money-making institution. The bottom- line of prosperity is primary education. Hence the government should raise resources elsewhere only to pour it on primary education. But primary education cannot be provided without higher education. So higher education stands on par with primary education.
Which of the following statements, if true, contradicts the passage above?
But then the government is not a money-making institution. The bottom- line of prosperity is primary education. Hence the government should raise resources elsewhere only to pour it on primary education. But primary education cannot be provided without higher education. So higher education stands on par with primary education.
Which of the following statements, if true, contradicts the passage above?
A Money should produce money which means that, that which does not generate money has no place
Question 21
Four statements are given below. Group two of them in such a way that one is logically impossible and the other is empirically (factually) possible.
1. A plane equilateral triangle can also be a plane right angled triangle. (A)
2. Velocity of light in vacuum is constant. (B)
3. Consumption of fuel at this rate results in reversal to bullock-cart age. (C)
4. A tall man is a man. (D)
1. A plane equilateral triangle can also be a plane right angled triangle. (A)
2. Velocity of light in vacuum is constant. (B)
3. Consumption of fuel at this rate results in reversal to bullock-cart age. (C)
4. A tall man is a man. (D)
A A, B
Question 22
Four statements are given. Group two of them in such a way that one is logically possible and the other is empirically (factually) highly improbable.
1. No theories of science can explain the origin of the Universe satisfactorily (A)
2. Solar energy is inexhaustible. (B)
3. Liberalization and rise in consumerism are directly related. (C)
4. God exists. (D)
1. No theories of science can explain the origin of the Universe satisfactorily (A)
2. Solar energy is inexhaustible. (B)
3. Liberalization and rise in consumerism are directly related. (C)
4. God exists. (D)
A A, B
Question 23
Four statements are given below. One of them can be demonstrated with the help of reason, while another requires sence experience to ascertian the truth , identify them.
B A, C
Question 24
How do you evaluate the statement "Autobiography of Mr. M.K. Gandhi" is written by Mr. Mahadeva Desai?
A FALSE
Question 25
All faculties of understanding, which a human being enjoys, are necessarily limited in terms of performance. If so, which of the following alternatives is justified by the preceding statement?
A Human knowledge is necessarily imperfect
Question 26
"The Universe has necessarily a beginning and an end' and 'the Universe has boundary' together imply
A The universe is finite in space and time
Question 27
Which of the following alternatives comes very close to the statement, 'Man is necessarily an evil by nature'?
A As a matter of fact, man is an evil by nature
Question 28
Which of the following alternatives is farthest from the statement, 'Sound waves cannot travel in vacuum'?
C Sound waves can travel only in vacuum
Question 29
Which of the following alternatives contradict the statement 'deterministic laws ofphysics are characteristically Newtonian'.
B Indeterminism is inherent in Newtonian system
Question 30
Identify the alternative which best explains the relation between the arguments mentioned below:
Arguments:
1. It is highly probable that every student of law at University level would have done a course on principles of ethics and Rama being a student of law, in all probability, would have done a course on principles of ethics.
2. At University level, every faculty aims at super speciality for which emphasis is laid upon structuring the curricula in such a way that every faculty is treated as a closed system so that no inter-disciplinary study is acceptable. Principles of ethics being essentially an integral part of philosophy, most probably is out of any course on law.
Arguments:
1. It is highly probable that every student of law at University level would have done a course on principles of ethics and Rama being a student of law, in all probability, would have done a course on principles of ethics.
2. At University level, every faculty aims at super speciality for which emphasis is laid upon structuring the curricula in such a way that every faculty is treated as a closed system so that no inter-disciplinary study is acceptable. Principles of ethics being essentially an integral part of philosophy, most probably is out of any course on law.
A Two arguments are mutually independent
Question 31
'Greater than' is said to be transitive (relation) since A is greater than B and B is greater than C imply A is greater than C. Similarly 'friend of is said to be symmetric since if A is a friend of B, then B is a friend of A. If so, what kind of relation is 'analogous'?
B Symmetric
Question 32
Since an object is identical with itself 'being identical' is called a reflexive relation and if a relation is transitive, symmetric and reflexive, then such a relation is called 'equivalence'. If so, what kind of relation is 'different'?
B Inequivalence
Question 33
Which of the following having the same form contradicts the statement 'guilty should be punished'?
D Guilty should not be punished
Question 34
If it is true that 'no innocent persons should be punished' and 'Socrates is innocent', which of the following is the correct conclusion?
C Socrates should not be punished
Question 35
Identify the alternative which gives true picture of the relation between the arguments listed below:
1. A healthy society is characterised by overall development of every section. As in the case of human body no organ is less prominent so also in a society no section is less important. If any human organ is sick, then the human being is sick. Similarly, if any section of society is sick, then the society is sick.
2. It is fallacious to think that priority to production of agricultural products alone promotes the prosperity of farmers. Prosperity has too many discussions. Transportation, communication, network, sound economic policy, to mention a few are equally important to the economic wellbeing of farmers. Hence they also deserve consideration.
1. A healthy society is characterised by overall development of every section. As in the case of human body no organ is less prominent so also in a society no section is less important. If any human organ is sick, then the human being is sick. Similarly, if any section of society is sick, then the society is sick.
2. It is fallacious to think that priority to production of agricultural products alone promotes the prosperity of farmers. Prosperity has too many discussions. Transportation, communication, network, sound economic policy, to mention a few are equally important to the economic wellbeing of farmers. Hence they also deserve consideration.
C They are analogous
Section: MATHEMATICS
Question 1
Which one of the following is same as 30% of 40% of 560?
A 60% of 40% of 280
30% of 40% of 560 = 30/100 x 40/100 x 560 = 67.2
Checking the options we can see that:
60% of 40% of 280 = 60/100 x 40/100 x 280 = 67.2
Checking the options we can see that:
60% of 40% of 280 = 60/100 x 40/100 x 280 = 67.2
Question 2
If x/y= 4/5, then value of 4/7 + (2y-x)/(2y+x) is
C 1
4/7 + (2y-x)/(2y+x)
= 4/7 + (2y/x – 1)/(2y/x + 1)
Now x/y = 4/5 so y/x = 5/4 so 2y/x = 10/4 = 5/2
Hence required expression will equal:
= 4/7 + (5/2 – 1)/(5/2 + 1)
= 4/7 + (3/2)/(7/2)
= 4/7 + 3/7 = 1
= 4/7 + (2y/x – 1)/(2y/x + 1)
Now x/y = 4/5 so y/x = 5/4 so 2y/x = 10/4 = 5/2
Hence required expression will equal:
= 4/7 + (5/2 – 1)/(5/2 + 1)
= 4/7 + (3/2)/(7/2)
= 4/7 + 3/7 = 1
Question 3
The average height of 10 students in a class is 105 cms. If 20 more students with an average height of 120 cms join them, what will be the average height?
D 115 cms
Average height of 10 students = 105 cms
Hence, total height of 10 students = 105 x 10 = 1050 cms
Also, Average height of 20 more students = 120 cms
Hence, total height of 20 more students = 120 x 20 = 2400 cms
So total height of all 30 students = 1050 + 2400 = 3450 cms
Hence average height of all 30 students = 3450/30 = 115 cms
Hence, total height of 10 students = 105 x 10 = 1050 cms
Also, Average height of 20 more students = 120 cms
Hence, total height of 20 more students = 120 x 20 = 2400 cms
So total height of all 30 students = 1050 + 2400 = 3450 cms
Hence average height of all 30 students = 3450/30 = 115 cms
Question 4
Anil is half his father's age now. Fifteen years ago, he was one-third of his father's age. How old will Anil be after five years?
C 35 years
Method-1: Using option choices
Option a: If Anil’s age after 5 years = 45, then his present age would be 40 years.
Then his father’s present age would be 40 x 2 = 80 years.
Now their ages 15 years ago would be 25 years and 65 years.
Clearly 25 ≠ 65/3
Option b: If Anil’s age after 5 years = 40, then his present age would be 35 years.
Then his father’s present age would be 35 x 2 = 70 years.
Now their ages 15 years ago would be 20 years and 55 years.
Clearly 20 ≠ 55/3
Option c: If Anil’s age after 5 years = 35, then his present age would be 30 years.
Then his father’s present age would be 30 x 2 = 60 years.
Now their ages 15 years ago would be 15 years and 45 years.
Clearly 15 = 45/3, so this must be the correct choice!
Option d: If Anil’s age after 5 years = 30, then his present age would be 25 years.
Then his father’s present age would be 25 x 2 = 50 years.
Now their ages 15 years ago would be 10 years and 35 years.
Clearly 10 ≠ 35/3
Method-2: By making equations
Let A years and F years be the present ages of Anil and his father.
Then, A = ½ x F
i.e. F = 2A ... (1)
Also, their ages 15 years ago would have been (A – 15) and (F – 15) years respectively.
Then, (A – 15) = 1/3 x (F – 15)
i.e. 3(A – 15) = F – 15
Using (1): 3(A – 15) = 2A – 15
i.e. 3A – 45 = 2A – 15
i.e. A = 45 – 15 = 30 years
So Anil’s age after 5 years = 30 + 5 = 35 years
Option a: If Anil’s age after 5 years = 45, then his present age would be 40 years.
Then his father’s present age would be 40 x 2 = 80 years.
Now their ages 15 years ago would be 25 years and 65 years.
Clearly 25 ≠ 65/3
Option b: If Anil’s age after 5 years = 40, then his present age would be 35 years.
Then his father’s present age would be 35 x 2 = 70 years.
Now their ages 15 years ago would be 20 years and 55 years.
Clearly 20 ≠ 55/3
Option c: If Anil’s age after 5 years = 35, then his present age would be 30 years.
Then his father’s present age would be 30 x 2 = 60 years.
Now their ages 15 years ago would be 15 years and 45 years.
Clearly 15 = 45/3, so this must be the correct choice!
Option d: If Anil’s age after 5 years = 30, then his present age would be 25 years.
Then his father’s present age would be 25 x 2 = 50 years.
Now their ages 15 years ago would be 10 years and 35 years.
Clearly 10 ≠ 35/3
Method-2: By making equations
Let A years and F years be the present ages of Anil and his father.
Then, A = ½ x F
i.e. F = 2A ... (1)
Also, their ages 15 years ago would have been (A – 15) and (F – 15) years respectively.
Then, (A – 15) = 1/3 x (F – 15)
i.e. 3(A – 15) = F – 15
Using (1): 3(A – 15) = 2A – 15
i.e. 3A – 45 = 2A – 15
i.e. A = 45 – 15 = 30 years
So Anil’s age after 5 years = 30 + 5 = 35 years
Question 5
10 men can finish the construction of a hut in 8 days. How many men are needed to finish the same in half a day?
D 160
Let 1 man do 1 unit of work in 1 day.
Then work done by 10 men in 1 day = 10 x 1 = 10 units.
Then work done by 10 men in 8 days = 10 x 8 = 80 units.
Similarly work done by N men in ½ day = N x 1 x ½ = N/2 units
So, N/2 = 80 or N = 160 men
Then work done by 10 men in 1 day = 10 x 1 = 10 units.
Then work done by 10 men in 8 days = 10 x 8 = 80 units.
Similarly work done by N men in ½ day = N x 1 x ½ = N/2 units
So, N/2 = 80 or N = 160 men
Question 6
India's Republic Day in 1996 fell on Friday. Which week day it will be celebrated in the year 2000?
B Wednesday
Given that 26th January 1996 is a Friday.
We want day on 26th January 2000.
i.e. we want number of days from 26th January 1996 to 26th January 2000.
Now, we know that 1996 is a leap year (since it is divisible by 4) i.e. February 1996 has 29 days.
So total days can be counted as 4 years (of 365 days) plus an extra day.
i.e. 365 x 4 + 1 = 1461 days
Now for the day of the week divide by 7 and obtain the remainder.
i.e. 1461 = 7 x 206 + 5.
Since remainder = 5, the day will be obtained by moving 5 days ahead of Friday i.e. Wednesday.
Alternatively,
In non-leap years, number of extra days (dividing 365 by 7) = 1
In leap years, number of extra days (dividing 366 by 7) = 2
So total extra days = 2 + 1 + 1 + 1 = 5 days
Hence 26th January 2000 will be a Wednesday.
We want day on 26th January 2000.
i.e. we want number of days from 26th January 1996 to 26th January 2000.
Now, we know that 1996 is a leap year (since it is divisible by 4) i.e. February 1996 has 29 days.
So total days can be counted as 4 years (of 365 days) plus an extra day.
i.e. 365 x 4 + 1 = 1461 days
Now for the day of the week divide by 7 and obtain the remainder.
i.e. 1461 = 7 x 206 + 5.
Since remainder = 5, the day will be obtained by moving 5 days ahead of Friday i.e. Wednesday.
Alternatively,
In non-leap years, number of extra days (dividing 365 by 7) = 1
In leap years, number of extra days (dividing 366 by 7) = 2
So total extra days = 2 + 1 + 1 + 1 = 5 days
Hence 26th January 2000 will be a Wednesday.
Question 7
An express train travels at an average speed of 120 km per hour, stopping for 4 minutes after every 80 kms. How long will it take the train to reach a destination 960 km away?
B 8 hrs 44 mts
Speed of train = 120 km/hr
So, time to travel 80 kms = 80/120 = 2/3 hours or 2/3 x 60 = 40 minutes
Since, the train stops for 4 mins after travelling 80 kms:
Distance travelled in 44 mins = 80 kms
In 11 such sections (i.e. in 11 x 44 = 484 mins), distance travelled = 80 x 11 = 880 kms
Clearly, the remaining 80 kms will take only 40 mins.
So total time taken = 484 + 40 = 524 minutes
Or 8 hours and 44 minutes
So, time to travel 80 kms = 80/120 = 2/3 hours or 2/3 x 60 = 40 minutes
Since, the train stops for 4 mins after travelling 80 kms:
Distance travelled in 44 mins = 80 kms
In 11 such sections (i.e. in 11 x 44 = 484 mins), distance travelled = 80 x 11 = 880 kms
Clearly, the remaining 80 kms will take only 40 mins.
So total time taken = 484 + 40 = 524 minutes
Or 8 hours and 44 minutes
Question 8
In a family, the father took one-fourth of the cake and he had three times as much as the others had. The total number of family members is:
B 7
This question is worded incorrectly – note that it should be ‘... he had three times as much as the others had’.
Method-1: Using options
Let us assume the weight of the cake as 4 kg. Then, father’s share = 4/4 = 1 kg
So the remaining 3 kg will be divided amongst the other members!
Option a: If total members = 3, there are 2 members besides the father.
Share of each of the others = ½ of 3 kg = 1.5 kg
Check: 1 kg ≠ 3 x 1.5 kg so this must be incorrect.
Option b: If total members = 7, there are 6 members besides the father.
Share of each of the others = 1/6th of 3 kg = 0.5 kg
Check: 1 kg ≠ 3 x 0.5 kg so this must be incorrect.
Option c: If total members = 10, there are 9 members besides the father.
Share of each of the others = 1/9th of 3 kg = 1/3 kg
Check: 1 kg = 3 x 1/3 kg so this must be the correct choice!
Option d: If total members = 12, there are 11 members besides the father.
Share of each of the others = 1/11th of 3 kg = 3/11 kg
Check: 1 kg ≠ 3 x 3/11 kg so this must be incorrect.
Method-2: Making equations
Let us assume the weight of the cake as 4 kg. Then, father’s share = 4/4 = 1 kg
So the remaining 3 kg will be divided amongst the other members!
Also, let there be N members besides the father.
Then, share of each of the rest will be 1/N x 3 kg = 3/N kg
Given, Father’s share = 3 x Share of each of the others
i.e. 1 = 3 x 3/N
i.e. N = 9
Hence total members = N + 1 = 10
Method-1: Using options
Let us assume the weight of the cake as 4 kg. Then, father’s share = 4/4 = 1 kg
So the remaining 3 kg will be divided amongst the other members!
Option a: If total members = 3, there are 2 members besides the father.
Share of each of the others = ½ of 3 kg = 1.5 kg
Check: 1 kg ≠ 3 x 1.5 kg so this must be incorrect.
Option b: If total members = 7, there are 6 members besides the father.
Share of each of the others = 1/6th of 3 kg = 0.5 kg
Check: 1 kg ≠ 3 x 0.5 kg so this must be incorrect.
Option c: If total members = 10, there are 9 members besides the father.
Share of each of the others = 1/9th of 3 kg = 1/3 kg
Check: 1 kg = 3 x 1/3 kg so this must be the correct choice!
Option d: If total members = 12, there are 11 members besides the father.
Share of each of the others = 1/11th of 3 kg = 3/11 kg
Check: 1 kg ≠ 3 x 3/11 kg so this must be incorrect.
Method-2: Making equations
Let us assume the weight of the cake as 4 kg. Then, father’s share = 4/4 = 1 kg
So the remaining 3 kg will be divided amongst the other members!
Also, let there be N members besides the father.
Then, share of each of the rest will be 1/N x 3 kg = 3/N kg
Given, Father’s share = 3 x Share of each of the others
i.e. 1 = 3 x 3/N
i.e. N = 9
Hence total members = N + 1 = 10
Question 9
A dock gains 5 minutes every hour. Then the angle traversed by the seconds hand in one minute will be
A 390°
Time gained in 1 hour = 5 minutes
So time gained in 1 minute = 5/60 = 1/12 minute or 1/12 x 60 = 5 seconds
i.e. in 1 minute the faulty clock will run 1 minute and 5 seconds.
i.e. in 1 minute the seconds hand will run 65 seconds.
Now, angle covered in 60 seconds = 360Ëš
So angle covered in 65 seconds = 360Ëš/60 x 65 = 390Ëš
So time gained in 1 minute = 5/60 = 1/12 minute or 1/12 x 60 = 5 seconds
i.e. in 1 minute the faulty clock will run 1 minute and 5 seconds.
i.e. in 1 minute the seconds hand will run 65 seconds.
Now, angle covered in 60 seconds = 360Ëš
So angle covered in 65 seconds = 360Ëš/60 x 65 = 390Ëš
Question 10
A right circular cone and a right cylinder have the same radius and the same volume. The ratio of the height of the cone to that of the cylinder is
D 3:1
Let R be the equal radii of the cone and cylinder.
Let H1 and H2 be the respective heights of the cone and cylinder.
Now, Volume of cone = Volume of cylinder
i.e. (1/3)πR2H1 = πR2H2
i.e. H1/H2 = 3/1 or 3 : 1
Let H1 and H2 be the respective heights of the cone and cylinder.
Now, Volume of cone = Volume of cylinder
i.e. (1/3)πR2H1 = πR2H2
i.e. H1/H2 = 3/1 or 3 : 1
