List of top Questions asked in CAT- 2001

A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate at least one of the likings of any of the other three persons selected.
  • M1 likes fishing and smoking, but hates gambling.
  • M2 likes smoking and drinking, but hates fishing.
  • M3 likes gambling, but hates smoking.
  • M4 likes mountaineering, but hates drinking.
  • M5 likes drinking, but hates smoking and mountaineering.
  • M6 likes fishing, but hates smoking and mountaineering.
  • M7 likes gambling and mountaineering, but hates fishing.
  • M8 likes smoking and gambling, but hates mountaineering.
Who are the four people selected by the king?
In a 'keep-fit' gymnasium class there are 15 females enrolled in a weight-loss programme. They all have been grouped in any one of the five weight-groups W1, W2, W3, W4, or W5. One instructor is assigned to one weight-group only.
  • Sonali, Shalini, Shubhra and Shahira belong to the same weight-group.
  • Sonali and Rupa are in one weight-group, Rupali and Renuka are also in one weight-group.
  • Rupa, Radha, Renuka, Ruchika, and Ritu belong to different weight groups.
  • Somya cannot be with Ritu, and Tara cannot be with Radha.
  • Komal cannot be with Radha, Somya, or Ritu.
  • Shahira is in W1 and Somya is in W4 with Ruchika.
  • Sweta and Jyotika cannot be with Rupali, but are in a weight-group with total membership of four.
  • No weight-group can have more than five or less than one member.
Amita, Babita, Chandrika, Deepika and Elina are instructors of weight-groups with membership sizes 5, 4, 3, 2 and 1 respectively. Who is the instructor of Radha?
Four friends Ashok, Bashir, Chirag and Deepak are out for shopping. Ashok has less money than three times the amount that Bashir has. Chirag has more money than Bashir. Deepak has an amount equal to the difference of amounts with Bashir and Chirag. Ashok has three times the money with Deepak. They each have to buy at least one shirt, or one shawl, or one sweater, or one jacket that are priced Rs. 200, Rs. 400, Rs. 600, and Rs. 1,000 a piece respectively. Chirag borrows Rs. 300 from Ashok and buys a jacket. Bashir buys a sweater after borrowing Rs. 100 from Ashok and is left with no money. Ashok buys three shirts. What is the costliest item that Deepak could buy with his own money?
I have a total of Rs. 1,000. Item A costs Rs. 110, item B costs Rs. 90, item C costs Rs. 70, item D costs Rs. 40 and item E costs Rs. 45. For every item D that I purchase, I must also buy two of item B. For every item A, I must buy one of item C. For every item E, I must also buy two of item D and one of item B. For every item purchased I earn 1,000 points and for every rupee not spent I earn a penalty of 1,500 points. My objective is to maximise the points I earn. What is the number of items that I must purchase to maximise my points?
In a family gathering there are 2 males who are grandfathers and 4 males who are fathers. In the same gathering there are 2 females who are grandmothers and 4 females who are mothers. There is at least one grandson or a granddaughter present in this gathering. There are 2 husband-wife pairs in this group. These can either be a grandfather and a grandmother, or a father and a mother. The single grandfather (whose wife is not present) has 2 grandsons and a son present. The single grandmother (whose husband is not present) has 2 grand daughters and a daughter present. A grandfather or a grandmother present with their spouses does not have any grandson or granddaughter present. What is the minimum number of people present in this gathering?
On her walk through the park, Hamsa collected 50 coloured leaves, all either maple or oak. She sorted them by category when she got home, and found the following:
  • The number of red oak leaves with spots is even and positive.
  • The number of red oak leaves without any spot equals the number of red maple leaves without spots.
  • All non-red oak leaves have spots, and there are five times as many of them as there are red spotted oak leaves.
  • There are no spotted maple leaves that are not red.
  • There are exactly 6 red spotted maple leaves.
  • There are exactly 22 maple leaves that are neither spotted nor red.
How many oak leaves did she collect?
While Balbir had his back turned, a dog ran into his butcher shop, snatched a piece of meat off the counter and ran out. Balbir was mad when he realised what had happened. He asked three other shopkeepers, who had seen the dog, to describe it. The shopkeepers really did not want to help Balbir. So each of them made a statement which contained one truth and one lie.
  • Shopkeeper number 1 said: "The dog had black hair and a long tail."
  • Shopkeeper number 2 said: "The dog had a short tail and wore a collar."
  • Shopkeeper number 3 said: "The dog had white hair and no collar."
Based on the above statements, which of the following could be a correct description?
The Bannerjees, the Sharmas, and the Pattabhiramans each have a tradition of eating Sunday lunch as a family. Each family serves a special meal at a certain time of day. Each family has a particular set of chinaware used for this meal. Use the clues below to answer the following question.
  • The Sharma family eats at noon.
  • The family that serves fried brinjal uses blue chinaware.
  • The Bannerjee family eats at 2 o'clock.
  • The family that serves sambar does not use red chinaware.
  • The family that eats at 1 o'clock serves fried brinjal.
  • The Pattabhiraman family does not use white chinaware.
  • The family that eats last likes makkai-ki-roti.
Which one of the following statements is true?
Mrs Ranga has three children and has difficulty remembering their ages and months of their birth. The clue below may help her remember.
  • The boy, who was born in June, is 7 years old.
  • One of the children is 4 years old but it was not Anshuman.
  • Vaibhav is older than Suprita.
  • One of the children was born in September, but it was not Vaibhav.
  • Suprita's birthday is in April.
  • The youngest child is only 2-year-old.
Based on the above clues, which one of the following statements is true?
At a village mela, the following six nautankis (plays) are scheduled as shown in the table below.

No. 1: Sati Savitri, duration 1 hr, show times 9 am and 2 pm
No. 2: Joru ka Ghulam, duration 1 hr, show times 10:30 am and 11:30 am
No. 3: Sundar Kand, duration 30 min, show times 10 am and 11 am
No. 4: Veer Abhimanyu, duration 1 hr, show times 10 am and 11 am
No. 5: Reshma aur Shera, duration 1 hr, show times 9:30 am, 12 noon and 2 pm
No. 6: Jhansi ki Rani, duration 30 min, show times 11 am and 1:30 pm

You wish to see all the six nautankis. Further, you wish to ensure that you get a lunch break from 12.30 p.m. to 1.30 p.m. Which of the following ways can you do this?
On a given day a boat ferried 1,500 passengers across the river in 12 hr. How many round trips did it make?

I. The boat can carry 200 passengers at any time.
II. It takes 40 min each way and 20 min of waiting time at each terminal.
What is the value of X?

I. X and Y are unequal positive even integers, less than 10, and \(\dfrac{X}{Y}\) is an odd integer.
II. X and Y are positive even integers, each less than 10, and product of X and Y is 12.
Is Country X's GDP higher than country Y's GDP?

I. GDPs of the countries X and Y have grown over the past 5 years at compounded annual rate of 5% and 6% respectively.
II. Five years ago, GDP of country X was higher than that of country Y.
Fill in the Blanks: In this context, the _____ of the British labour movement is particularly _____.
Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.

A. The situations in which violence occurs and the nature of that violence tends to be clearly defined at least in theory, as in the proverbial Irishman’s question: “Is this a private fight or can anyone join in?”
B. So the actual risk to outsiders, though no doubt higher than our societies, is calculable.
C. Probably the only uncontrolled applications of force are those of social superiors to social inferiors and even here there are probably some rules.
D. However, binding the obligation to kill, members of feuding families engaged in mutual massacre will be genuinely appalled if by some mischance a bystander or outsider is killed.
Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.

A. Passivity is not, of course, universal.
B. In areas where there are no lords or laws, or in frontier zones where all men go armed, the attitude of the peasantry may well be different.
C. So indeed it may be on the fringe of the unsubmissive.
D. However, for most of the soil-bound peasants the problem is not whether to be normally passive or active, but when to pass from one state to another.
E. This depends on an assessment of the political situation.
Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.

A. Michael Hofman, a poet and translator, accepts this sorry fact without approval or complaint.

B. But thanklessness and impossibility do not daunt him.

C. He acknowledges too — in fact, he returns to the point often — that best translators of poetry always fail at some level.

D. Hofman feels passionately about his work and this is clear from his writings.

E. In terms of the gap between worth and rewards, translators come somewhere near nurses and street-cleaners.
Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.

A. But in the industrial era destroying the enemy’s productive capacity means bombing the factories which are located in the cities.

B. So in the agrarian era, if you need to destroy the enemy’s productive capacity, what you want to do is burn his fields, or if you’re really vicious, salt them.

C. Now in the information era, destroying the enemy’s productive capacity means destroying the information infrastructure.

D. How do you do battle with your enemy?

E. The idea is to destroy the enemy’s productive capacity, and depending upon the economic foundation, that productive capacity is different in each case.

F. With regard to defence, the purpose of the military is to defend the nation and be prepared to do battle with its enemy.
Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.

A. Although there are large regional variations, it is not infrequent to find a large number of people sitting here and there and doing nothing.

B. Once in office, they receive friends and relatives who feel free to call any time without prior appointment.

C. While working, one is struck by the slow and clumsy actions and reactions, indifferent attitudes, procedure rather than outcome orientation, and the lack of consideration for others.

D. Even those who are employed often come late to the office and leave early unless they are forced to be punctual.

E. Work is not intrinsically valued in India.

F. Quite often people visit ailing friends and relatives or go out of their way to help them in their personal matters even during office hours.
For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched.

Purge

Dictionary definition
  • A. Remove a stigma from the name of
  • B. Make clean by removing whatever is superfluous, foreign
  • C. Get rid of
  • D. To cause evacuation of
Usage
  • E. The opposition was purged after the coup.
  • F. The committee heard his attempt to purge himself of a charge of heresy.
  • G. Drugs that purge the bowels are often bad for the brain.
  • H. It is recommended to purge water by distillation.
For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched.

Relief

Dictionary definition
  • A. Removal or lightening of something distressing
  • B. Aid in the form of necessities for the indigent
  • C. Diversion
  • D. Release from the performance of duty
Usage
  • E. A ceremony follows the relief of a sentry after the morning shift.
  • F. It was a relief to take off the tight shoes.
  • G. The only relief I get is by playing cards.
  • H. Disaster relief was offered to the victims.
For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched.

Mellow

Dictionary definition
  • A. Adequately and properly aged so as to be free of harshness
  • B. Freed from the rashness of youth
  • C. Of soft and loamy consistency
  • D. Rich and full but free from stridency
Usage
  • E. He has mellowed with age.
  • F. The tones of the old violin were mellow.
  • G. Some wines are mellow.
  • H. Mellow soil found in the Gangetic plains.
For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched.

INFER

Dictionary definition
  • A. To derive by reasoning or implication
  • B. To surmise
  • C. To point out
  • D. To hint
Usage
  • E. We see smoke and infer fire.
  • F. Given some utterance, a listener may infer from it all sorts of things which neither the utterance nor the utterer implied.
  • G. I waited all day to meet him. From this you can infer my zeal to see him.
  • H. She did not take part in the debate except to ask a question inferring that she was not interested in the debate.
For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched.

EXCEED

Dictionary definition
  • A. To extend outside of or enlarge beyond used chiefly in strictly physical relations
  • B. To be greater than or superior to
  • C. Be beyond the comprehension of
  • D. To go beyond a limit set by (as an authority or privilege)
Usage
  • E. The mercy of God exceeds our finite minds
  • F. Their accomplishments exceeded our expectation.
  • G. He exceeded his authority when he paid his brother's gambling debts with money from the trust.
  • H. If this rain keeps up, the river will exceed its banks by morning.
Let n be the number of different five-digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n?