CAT 1997 Question Paper (Available) :Download Solutions with Answer Key PDF

Question 1:

Peel : Peal

• (a) Coat : Rind
• (b) Laugh : Bell
• (c) Rain : Reign
• (d) Brain : Cranium

Doggerel : Poet

• (a) Symphony : Composer
• (b) Prediction : Astrologer
• (c) Wine : Vintner
• (d) Pulp fiction : Novelist

Premise : Conclusion

• (a) Assumption : Inference
• (b) Hypothesis : Theory
• (c) Knowledge : Ideas
• (d) Brand : Marketing

Barge : Vessel

• (a) Shovel : Implement
• (b) Book : Anthology
• (c) Rim : Edge
• (d) Training : Preparation

Love : Obsession

• (a) Happiness : Joy
• (b) Amity : Harmony
• (c) Enemy : Hatred
• (d) Sorrow : Misery

Reptile : Adder

• (a) Skeleton : Flesh
• (b) Method : System
• (c) Plant : Genus
• (d) Dinosaur : Tyrannosaurus

A. No bird is viviparous.

B. All mammals are viviparous.

C. Bats are viviparous.

D. No bat is a bird.

E. No bird is a mammal.

F. All bats are mammals.

• (a) ADC
• (b) ABE
• (c) FBA
• (d) AFC

A. No mother is a nurse.

B. Some nurses like to work.

C. No woman is a prude.

D. Some prude are nurses.

E. Some nurses are women.

F. All women like to work.

• (a) ABE
• (b) CED
• (c) FEB
• (d) BEF 

A. Oranges are sweet.

B. All oranges are apples.

C. Some sweet are apples.

D. Some oranges are apples.

E. All sweet are sour.

F. Some apples are sour.

• (a) DAC
• (b) CDA
• (c) BCA
• (d) FEC

A. Zens are Marutis.

B. Zens are fragile.

C. Marutis are fragile.

D. Opels are fragile.

E. Marutis are Opels.

F. Opels are stable.

• (a) ACB
• (b) EFD
• (c) CEA
• (d) ABC

A. Dogs sleep in the open.

B. Sheep sleep indoors.

C. Dogs are like sheep.

D. All indoors are sheep.

E. Some dogs are not sheep.

F. Some open are not sheep.

• (a) AFE
• (b) DCA
• (c) ABE
• (d) FBD

Either Sam is ill, or he is drunk.


A. Sam is ill.

B. Sam is not ill.

C. Sam is drunk.

D. Sam is not drunk.

• (a) AB
• (b) DA
• (c) AC
• (d) CD

Whenever Ram hears of a tragedy, he loses sleep.


A. Ram heard of a tragedy.

B. Ram did not hear of a tragedy.

C. Ram lost sleep.

D. Ram did not lose sleep.

• (a) AC
• (b) BD
• (c) DB
• (d) AD

Either the train is late, or it has derailed.


A. The train is late.

B. The train is not late.

C. The train is derailed.

D. The train is not derailed.

• (a) AB
• (b) DB
• (c) CA
• (d) BC

When I read a horror story, I have a nightmare.


A. I read a story.

B. I did not read a horror story.

C. I did not have a nightmare.

D. I had a nightmare.

• (a) CB
• (b) AD
• (c) BC
• (d) AC

When I eat berries, I get rashes.


A. I ate berries.

B. I did not get rashes.

C. I did not eat berries.

D. I got rashes.

• (a) DA
• (b) BC
• (c) CB
• (d) None of these

This government has given subsidies to the Navratnas but there is no telling \underline{whether the subsequent one will do.

• (a) whether the subsequent government will do so
• (b) if the government to follow will accept the policy
• (c) if the government to follow will adhere to the policy
• (d) whether the subsequent one will do so

Rahul Bajaj has done a great job of taking the company to its present status, but it is time that he \underline{let go off the reins.

• (a) let go of the reins
• (b) stepped down
• (c) let go off the reins
• (d) delegated responsibility

With the pick up in the standard of education, expensive private schools have \underline{started blooming up in every corner of the country.

• (a) started blooming in every corner of the country
• (b) started mushrooming all over the country
• (c) started mushrooming in every corner of the country
• (d) blossomed all over the country

\underline{It is important that whatever else happens, these two factors should not be messed around with.

• (a) It is important that
• (b) It is a fact that
• (c) It should be urgently understood that
• (d) It should be understood that

\underline{It must be noticed that under no circumstance should the company go in for diversification.

• (a) It must be noticed
• (b) It must be noted
• (c) It must be pointed out
• (d) It should be noticed

An act of justice closes the book on a misdeed; an act of vengeance \underline{\hspace{2cm.

• (a) is reprehensible
• (b) is sordid
• (c) reopens the first chapter
• (d) writes an epilogue

This is about \underline{\hspace{2cm a sociological analysis can penetrate.

• (a) as far as
• (b) the outer limits that
• (c) just how far into the subject
• (d) just the relative distance that

I am always the first to admit that I have not accomplished everything that I \underline{\hspace{2cm achieve five years ago.

• (a) set out to
• (b) went to
• (c) thought to
• (d) thought of

This is not the first time that the management has done some \underline{\hspace{2cm.

• (a) tough talk
• (b) tough talking
• (c) firm talk
• (d) firm talking

In India the talent is prodigious, and it increases \underline{\hspace{2cm.

• (a) each year
• (b) year by year
• (c) annually
• (d) progressively

The present constitution will see \underline{\hspace{2cm amendments but its basic structure will survive.

• (a) much more
• (b) many more
• (c) too many more
• (d) quite a few more

Taking risks, breaking the rules, and being a maverick have always been important for companies, but, today, they are \underline{\hspace{2cm.

• (a) more crucial than ever
• (b) more crucial
• (c) much more crucial
• (d) very crucial

Education is central because electronic networks and software-driven technologies are beginning to \underline{\hspace{2cm the economic barriers between nations.

• (a) break down
• (b) break
• (c) crumble
• (d) dismantle

Whenever technology has flowered, it has put man's language — developing skills into overdrive.

A. Technical terms are spilling into mainstream language almost as fast as junk — mail is slapped into e-mail boxes.

B. The era of computers is no less.

C. From the wheel with its axle to the spinning wheel with its bobbins, to the compact disc and its jewel box, inventions have trailed new words in their wake.

D. "Cyberslang is huge, but it's parochial, and we don't know what will filter into the large culture," said Tom Dalzell, who wrote the slang dictionary \textit{Flappers 2 Rappers.


6. Some slangs already have a pedigree.

• (a) BCAD
• (b) CBAD
• (c) ABCD
• (d) DBCA

Until the MBA arrived on the scene the IIT graduate was king.


A. A degree from one of the five IITs was a passport to a well-paying job, great prospects abroad and, for some, a decent dowry to boot.

B. From the day he or she cracked the Joint Entrance Examination, the IIT student commanded the awe of neighbours and close relatives.

C. IIT students had, meanwhile, also developed their own special culture, complete with lingo and attitude, which they passed down.

D. True, the success stories of IIT graduates are legion and they now constitute the cream of the Indian diaspora.


6. But not many alumni would agree that the IIT undergraduate mindset merits a serious psychological
study, let alone an interactive one.

• (a) BACD
• (b) ADCB
• (c) BADC
• (d) ABCD

Some of the maharajas, like the one at Kapurthala, had exquisite taste.


A. In 1902, the Maharaja of Kapurthala gave his civil engineer photographs of the Versailles Palace and asked him to replicate it, right down to the gargoyles.

B. Yeshwantrao Holkar of Indore brought in Bauhaus aesthetics and even works of modern artists like Brancusi and Duchamp.

C. Kitsch is the most polite way to describe them.

D. But many of them, as the available light photographs show, had execrable taste.


6. Like Ali Baba's caves, some of the palaces were like warehouses with the downright ugly next to
the sublimely aesthetic.

• (a) BACD
• (b) BDCA
• (c) ABCD
• (d) ABDC

There, in Europe, his true gifts unveiled.


A. Playing with Don Cherie, blending Indian music and jazz for the first time, he began setting the pace in the late 70s for much of what present-day fusion is.

B. John McLaughlin, the legendary guitarist whose soul has always had an Indian stamp on it, was seduced immediately.

C. Fusion by Gurtu had begun.

D. He partnered Gurtu for four years, and ‘natured’ him as a composer.


6. But for every experimental musician there's a critic nestling nearby.

• (a) ABCD
• (b) BCAD
• (c) ADBC
• (d) ABDC

India, which has two out of every five TB patients in the world, is on the brink of a major public health disaster.


A. If untreated, a TB patient can die within five years.

B. Unlike AIDS, the great curse of modern sexuality, the TB germ is airborne, which means there are no barriers to its spread.

C. The dreaded infection ranks fourth among major killers worldwide.

D. Every minute, a patient falls prey to the infection in India, which means that over five lakh people die of the disease annually.


6. Anyone, anywhere can be affected by this disease.

• (a) CABD
• (b) BADC
• (c) ABCD
• (d) DBAC

A. It begins with an ordinary fever and a moderate cough.

B. India could be under attack from a class of germs that cause what are called atypical pneumonias.

C. Slowly, a sore throat progresses to bronchitis and then pneumonia and respiratory complications.

D. It appears like the ordinary flu, but baffled doctors find that the usual drugs don't work.

• (a) ABCD
• (b) BDAC
• (c) ADCB
• (d) BCDA

A. Chemists mostly don't stock it: only a few government hospitals do but in limited quantities.

B. Delhi’s building boom is creating a bizarre problem: snakes are increasingly biting people as they emerge from their disturbed underground homes.

C. There isn't enough anti-snake serum, largely because there is no centralised agency that distributes the product.

D. If things don’t improve, more people could face paralysis, and even death.

• (a) BCAD
• (b) DBCA
• (c) ABCD
• (d) CABD

A. But the last decade has witnessed greater voting and political participation by various privileged sections.

B. If one goes by the earlier record of mid-term elections, it is likely that the turnout in 1998 will drop by anything between four and six percentage points over the already low polling of 58 per cent in 1996.

C. If this trend offsets the mid-term poll fatigue, the fall may not be so steep.

D. Notwithstanding a good deal of speculation on this issue, it is still not clear as to who benefits from a lower turnout.

• (a) BACD
• (b) ABCD
• (c) DBAC
• (d) CBDA

A. After several routine elections there comes a 'critical' election which redefines the basic pattern of political loyalties, redraws political geography and opens up political space.

B. In psephological jargon, they call it realignment.

C. Rather, since 1989, there have been a series of semi-critical elections.

D. On each definition, only the realignment of recent elections qualifies as a critical election.

• (a) ABCD
• (b) DBCA
• (c) CABD
• (d) CBAD

A. Trivial pursuits marketed by the Congress, is a game imported from Italy.

B. The idea is to create an imaginary saviour in times of crisis so that the party doesn’t fall flat on its collective face.

C. Closest contenders are Mani Shankar Aiyar, who still hears His Master’s Voice and V. George, who is frustrated by the fact that his political future remains Sonia and yet so far.

D. The current champion is Arjun for whom all roads lead to Rome, or in this case, 10 Janpath.

• (a) ABDC
• (b) ABCD
• (c) DCBA
• (d) CDBA

A. Good advertising can make people buy your products even if it sucks.

B. A dollar spent on brainwashing is more cost-effective than a dollar spent on product improvement.

C. That’s important because it takes pressure off you to make good products.

D. Obviously, there’s a minimum quality that every product has to achieve: it should be able to withstand the shipping process without becoming unrecognizable.

• (a) BACD
• (b) ACBD
• (c) ADCB
• (d) BCDA

A. Almost a century ago, when the father of the modern automobile industry, Henry Ford, sold the first Model T car, he decided that only the best would do for his customers.

B. Today, it is committed to delivering the finest quality with over six million vehicles a year in over 200 countries across the world.

C. And for over 90 years, this philosophy has endured in the Ford Motor Company.

D. Thus, a vehicle is ready for the customer only if it passes the Ford 'Zero Defect Programme'.

• (a) ABCD
• (b) ACDB
• (c) ACBD
• (d) CDAB

A. But, clearly, the government still has the final say.

B. In the past few years, the Reserve Bank of India might have wrested considerable powers from the government when it comes to monetary policy.

C. The RBI’s announcements on certain issues become effective only after the government notifies them.

D. Isn’t it time the government vested the RBI with powers to sanction such changes, leaving their ratification for later?

• (a) BACD
• (b) ABCD
• (c) BCAD
• (d) DACB

A. I sat there frowning at the checkered tablecloth, chewing the bitter cud of insight.

B. That wintry afternoon in Manhattan, waiting in the little French restaurant, I was feeling frustrated and depressed.

C. Even the prospect of seeing a dear friend failed to cheer me as it usually did.

D. Because of certain miscalculations on my part, a project of considerable importance in my life had fallen through.

• (a) ADBC
• (b) BCDA
• (c) BDCA
• (d) ABCD

A. Perhaps the best known is the Bay Area Writing Project, founded by James Gray in 1974.

B. The decline in writing skills can be stopped.

C. Today’s back-to-basics movement has already forced some schools to place renewed emphasis on writing skills.

D. Although the inability of some teachers to teach writing successfully remains a big stumbling block, a number of programmes have been developed to attack this problem.

• (a) BCDA
• (b) ADCB
• (c) ACBD
• (d) CABD

Keen : Kin : Enthusiastic : Willing

• (a) Keen
• (b) Kin
• (c) Enthusiastic
• (d) Willing

Adept : Adapt : Skilful : Proficient

• (a) Adept
• (b) Adapt
• (c) Skilful
• (d) Proficient

Ring : Round : Bell : Circle

• (a) Ring
• (b) Round
• (c) Bell
• (d) Circle

Computer : Internet : Grid : Network

• (a) Computer
• (b) Internet
• (c) Grid
• (d) Network

Suffer : Endure : Bear : Withstand

• (a) Suffer
• (b) Endure
• (c) Bear
• (d) Withstand

Break : Hiatus : Chasm : Bridge

• (a) Break
• (b) Hiatus
• (c) Chasm
• (d) Bridge

The central thrust of the passage is that

• (a) India is gearing up for a new awakening.
• (b) India is going back to its past status.
• (c) India is yet to understand itself.
• (d) India’s glorious past is a figment of the imagination.

The writer’s attitude is

• (a) excessively critical of India.
• (b) insightful.
• (c) cynical.
• (d) cold.

The writer has given the example of the Vijayanagar kingdom in order to drive home the point that

• (a) Indians should know their historical sites.
• (b) Indians should be aware of the existence of such a historic past.
• (c) it is time that India came to terms with the past.
• (d) All of these

The writer is against

• (a) the child’s view of history.
• (b) taking a critical stand on history.
• (c) indulging in the details of the past.
• (d) None of these

According to the writer, India’s regeneration and revival took place

• (a) in the British period.
• (b) after the British period.
• (c) during and after the British period.
• (d) a long time after the British left.

According to the passage, self-awareness is followed by

• (a) self-righteousness.
• (b) a higher idea of human possibilities.
• (c) a desire for more in everything.
• (d) Both (b) and (c)

According to the passage, India’s current situation is

• (a) bleak.
• (b) horrific.
• (c) primitive and messy.
• (d) None of these

For a country to be alive and progressive, it is important that

• (a) self-criticism does not stop.
• (b) self-criticism does not exceed a certain limit.
• (c) it feels that all is right with itself.
• (d) None of these

The writer’s prognosis for India’s future is that

• (a) it will be stable.
• (b) it will be chaotic.
• (c) it will reflect the manipulations of the present.
• (d) it will be subject to self-criticism.

One of the main features of the tyranny of foreign rulers was

• (a) the decimation of the country’s artists.
• (b) the decimation of its people.
• (c) the decimation of its intellect.
• (d) the decimation of the country’s rulers.

The writer’s attitude towards the government is

• (a) critical.
• (b) ironical.
• (c) sarcastic.
• (d) derisive.

The writer is surprised at the government’s attitude towards its industrialists because

• (a) the government did not need to protect its industrialists.
• (b) the issue of competition was non-existent.
• (c) the government looked upon its industrialists as crooks.
• (d) the attitude was a conundrum.

The government was compelled to open the economy due to

• (a) pressure from international markets.
• (b) pressure from domestic market.
• (c) foreign exchange bankruptcy and paucity of funds with the government.
• (d) All of these

The writer ends the passage on a note of

• (a) cautious optimism.
• (b) pessimism.
• (c) optimism.
• (d) pragmatism.

According to the writer, India should have performed better than the other Asian nations because

• (a) it had adequate infrastructure.
• (b) it had better infrastructure.
• (c) it had better politicians who could take the required decisions.
• (d) All of these

India was in a better condition than the other Asian nations because

• (a) it did not face the ravages of the World War II.
• (b) it had an English speaking populace and good business sense.
• (c) it had enough wealth through its exports.
• (d) Both (a) and (b)

The major reason for India's poor performance is

• (a) economic isolationism.
• (b) economic mismanagement.
• (c) inefficient industry.
• (d) All of these

One of the features of the government’s protectionist policy was

• (a) encouragement of imports.
• (b) discouragement of exports.
• (c) encouragement of exports.
• (d) discouragement of imports.

The example of the Korean Cielo has been presented to highlight

• (a) India's lack of stature in the international market.
• (b) India's poor performance in the international market.
• (c) India's lack of creditability in the international market.
• (d) India's disrepute in the international market.

According to the writer,

• (a) India’s politicians are myopic in their vision of the country’s requirements.
• (b) India’s politicians are busy lining their pockets.
• (c) India’s politicians are not conversant with the needs of the present scenario.
• (d) All of these

According to the passage,

• (a) India needs a benevolent dictatorship.
• (b) India has failed as a democracy.
• (c) India should go the way of China.
• (d) None of these

The passage says that

• (a) benevolent dictators are not easy to find.
• (b) not all dictators will be enlightened.
• (c) dictators can make or break a country.
• (d) an enlightened dictatorship is better than a corrupt democracy.

It can be implied from the passage that

• (a) a lower rate of growth is preferred to a higher rate of growth.
• (b) a higher rate of growth is preferred to a lower rate of growth.
• (c) a low but stable rate of growth is preferred to a high rate of growth.
• (d) a low but faltering rate of growth is a sign of stability amidst growth.

Vis-a-vis democracies, dictatorships run the risk of

• (a) losing all for a single mistake.
• (b) making bigger mistakes.
• (c) making huge mistakes and risking everything.
• (d) None of these

The writer's conclusion in the passage is that

• (a) under no circumstances should a country encourage a corrupt democracy.
• (b) under no circumstances should statism be a welcome move.
• (c) a statist will not give due importance to the voice of the people.
• (d) a statist will always look to his own welfare.

Democracy has been compared to the free market, as

• (a) both have a high degree of competition.
• (b) both offer a multitude of options to choose from.
• (c) consumer satisfaction plays an important role in both.
• (d) All of these

It can be inferred from the passage that

• (a) China stands to lose out in the global market because it has blocked the Internet.
• (b) India stands to gain in the global market because of its policy vis-à-vis the Internet.
• (c) Internet will play a crucial role in the global market in the years to come.
• (d) All of these

According to the passage, a democratic set up works as a check on the

• (a) actions and decisions of its leaders.
• (b) functioning of its economy.
• (c) Both (a) and (b)
• (d) None of these

India's moves on liberalisation are more permanent than China’s because

• (a) India’s politicians are in agreement over the need for reforms.
• (b) India is not at the mercy of dictators.
• (c) unlike China, India is unlikely to have drastic policy reversals.
• (d) India is not in a hurry to reform

According to the passage,

• (a) Israel is the only democracy in West Asia.
• (b) Israel is better off than Bangladesh or Myanmar.
• (c) Israel does not face policy reversals.
• (d) None of these

One of the ways in which Infosys spreads the company’s wealth among its employees is

• (a) by awarding stock options.
• (b) by giving an extravagant bonus at the end of each year.
• (c) Both (a) and (b)
• (d) None of these

According to the passage, at Infosys

• (a) control is exerted through a system of hierarchy.
• (b) control is not exerted through a system of hierarchy.
• (c) hierarchy does not have pride of place.
• (d) popular opinion is the most respected voice.
  (b)

Murthy believes in

• (a) betterment of man through learning.
• (b) betterment of man through ethical creation of wealth.
• (c) betterment of man through experimentation.
• (d) All of these
  (d)

The example of the Rs. 15 crore account highlights

• (a) Murthy’s ability to see his company through a crisis.
• (b) Murthy’s ability to turn failure into success.
• (c) Murthy’s potential to handle a crisis.
• (d) All of these
  (d)

According to Murthy, learning is

• (a) the essence of a employee.
• (b) the art of amassing data.
• (c) a process that helps him to learn from failure.
• (d) All of these
  (c)

According to the passage,

• (a) Infosys could not have succeeded without working backward.
• (b) Infosys succeeded because it worked backwards.
• (c) working backwards contributed to Infosys' success.
• (d) working backwards is a hallmark of Infosys' functioning today.
  (c)

Openness at Infosys includes

• (a) the payment of taxes.
• (b) giving complete information.
• (c) sharing secrets.
• (d) Both (a) and (b)
  (d)

It is evident from the passage that

• (a) Infosys will have to devise new strategies to meet the challenges of the 21st century.
• (b) Infosys will stagnate if it does not become aggressive.
• (c) Infosys may have to become more aggressive in order to retain its market.
• (d) None of these
  (c)

The cornerstone of Murthy’s human resource management system is

• (a) the employee as God.
• (b) optimum utilization of human potential.
• (c) customer satisfaction.
• (d) satisfaction of personal needs.
  (c)

According to the passage,

• (a) Infosys is a reflection of its CEO.
• (b) Infosys brings the best out in Murthy.
• (c) Infosys and Murthy are synonymous.
• (d) Murthy, the man, and Murthy the CEO are incompatible.
  (a)

One of the problems plaguing the education system in India is

• (a) poverty.
• (b) diverse cultural and socio-economic factors.
• (c) male chauvinism.
• (d) All of these
  (d)

In the context of the passage, the term ‘grizzled mandarins’ means

• (a) old hags.
• (b) decrepit men.
• (c) ineffective old men.
• (d) None of these
  (c)

One of the reasons contributing to India’s poor performance on the education front is that

• (a) its leaders do not have the conviction required to improve the education system.
• (b) male members of society do not want their female counterparts to be educated.
• (c) administrators in charge of education are out of touch with ground realities.
• (d) the country does not have the law for implementation of education policies in its statute books.
  (c)

The only way in which the education system can be improved is by

• (a) decentralising education planning and implementation.
• (b) introducing fresh blood in the planning body.
• (c) injecting funds into the exchequer solely for the purpose.
• (d) educating the people on the need for primary education.
  (a)

Very low education levels are visible in

• (a) Bihar, Rajasthan and Uttar Pradesh.
• (b) Rajasthan, West Bengal and Madhya Pradesh.
• (c) Rajasthan, Bihar and Madhya Pradesh.
• (d) West Bengal, Uttar Pradesh and Bihar.
  (c)

The district primary education programme

• (a) was launched in 1994 in 22 states.
• (b) was launched in 1994 in 12 states.
• (c) launched in 1994 has been successful in 122 districts.
• (d) launched in 1994 has met with dubious success.
  (c)

The village panchayats in Madhya Pradesh are responsible for

• (a) implementing adult education policies for the villages.
• (b) organising non-formal education.
• (c) scholarships and construction and maintenance of primary schools.
• (d) Both (b) and (c)
  (d)

The successful implementation of education policies is obstructed by

• (a) vested interests.
• (b) panchayat officials.
• (c) politicians.
• (d) bureaucrats.
  (c)

Primary education

• (a) is a fundamental right.
• (b) will be made a fundamental right.
• (c) is only for the privileged sections of society.
• (d) None of these
  (b)

One of the ways in which education policy can be successfully implemented as mentioned in the passage, is

• (a) greater community involvement.
• (b) greater community development.
• (c) greater community awareness.
• (d) Both (a) and (b)
  (a)

Anshuman travels at minimum speed by car over A and completes stretch B at the fastest speed. At what speed should he cover stretch C in order to break the previous record?

• (a) Maximum speed for C
• (b) Minimum speed for C
• (c) This is not possible
• (d) None of these
  (a)

Mr Hare completes the first stretch at the minimum speed and takes the same time for stretch B. He takes 50% more time than the previous record to complete the race. What is Mr Hare’s speed for the stretch C?

• (a) 10.9 km/hr
• (b) 13.3 km/hr
• (c) 17.1 km/hr
• (d) None of these
  (b)

Mr Tortoise completes the race at an average speed of 20 km/hr. His average speed for the first two stretches is four times that for the last stretch. Find the speed over stretch C.

• (a) 15 km/hr
• (b) 12 km/hr
• (c) 10 km/hr
• (d) This is not possible
  (b)

What is the average weight of the students in group D?

• (a) More than the average weight of A
• (b) More than the average weight of C
• (c) Less than the average weight of C
• (d) Cannot be determined
  (d)

If one student from group A is shifted to group B, which of the following will be true?

• (a) The average weight of both groups increases
• (b) The average weight of both the groups decreases
• (c) The average weight of the class remains the same
• (d) Cannot be determined
  (c)

If all the students of the class have the same weight, then which of the following is false?

• (a) The average weight of all the four groups is the same
• (b) The total weight of A and C is twice the total weight of B
• (c) The average weight of D is greater than the average weight of A
• (d) The average weight of all the groups remains the same even if a number of students are shifted from one group to another
  (c)

A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination?

• (a) 2
• (b) 3
• (c) 4
• (d) 5
  (c)

In how many ways can eight directors, the vice chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the vice chairman and a director?

• (a) \(9! \times 2\)
• (b) \(2 \times 8!\)
• (c) \(2 \times 7!\)
• (d) None of these
  (b)

If \(\log_{2} \left[ \log_{3} \left( x^{2} - x + 37 \right) \right] = 1\), then what could be the value of \(x\)?

• (a) 3
• (b) 5
• (c) 4
• (d) None of these
  (a)

After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percentage above the cost price does he mark his goods?

• (a) 28.56%
• (b) 35%
• (c) 22.22%
• (d) None of these
  (b)

If \(n\) is an integer, how many values of \(n\) will give an integral value of \(\frac{16n^{2} + 7n + 6}{n}\)?

• (a) 2
• (b) 3
• (c) 4
• (d) None of these
  (c)

A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?

• (a) Rs. 80
• (b) Rs. 100
• (c) Rs. 95
• (d) None of these
  (b)

Fresh grapes contain 90% water while dry grapes contain 20% water. What is the weight of dry grapes obtained from 20 kg fresh grapes?

• (a) 2 kg
• (b) 2.5 kg
• (c) 2.4 kg
• (d) None of these
  (b)

An express train travelling at 80 km/hr overtakes a goods train, twice as long and going at 40 km/hr on a parallel track, in 54 s. How long will the express train take to cross a platform of 400 m long?

• (a) 36 s
• (b) 45 s
• (c) 27 s
• (d) None of these
  (a)

A student instead of finding the value of \(\frac{7}{8}\) of a number, found the value of \(\frac{7}{18}\) of the number. If his answer differed from the actual one by 770, find the number.

• (a) 1584
• (b) 2520
• (c) 1728
• (d) 1656
  (b)

P and Q are two positive integers such that \(PQ = 64\). Which of the following cannot be the value of \(P + Q\)?

• (a) 20
• (b) 65
• (c) 16
• (d) 35
  (b)

The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.

• (a) 55
• (b) 60
• (c) 62
• (d) Cannot be determined
  (a)

If the roots \(x_1\) and \(x_2\) of the quadratic equation \(x^2 - 2x + c = 0\) also satisfy the equation \(7x_2 - 4x_1 = 47\), then which of the following is true?

• (a) \(c = -15\)
• (b) \(x_1 = -5, x_2 = 3\)
• (c) \(x_1 = 4.5, x_2 = -2.5\)
• (d) None of these
  (a)

The sum of the areas of two circles, which touch each other externally, is \(153\pi\). If the sum of their radii is 15, find the ratio of the larger to the smaller radius.

• (a) 4
• (b) 2
• (c) 3
• (d) None of these
  (c)

If m and n are integers divisible by 5, which of the following is not necessarily true?

• (a) \(m - n\) is divisible by 5
• (b) \(m^2 - n^2\) is divisible by 25
• (c) \(m + n\) is divisible by 10
• (d) None of these
  (c)

Which of the following is true?

• (a) \(7^{3} = (7^{3})^{2}\)
• (b) \(7^{3} > (7^{3})^{2}\)
• (c) \(7^{3} < (7^{3})^{2}\)
• (d) None of these
  (c)

What is the maximum percentage of people who can watch all the three channels?

• (a) 12.5%
• (b) 8.5%
• (c) 15%
• (d) Data insufficient
  (c)

If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentage of people watched BBC and CNN only?

• (a) 2%
• (b) 5%
• (c) 8.5%
• (d) Cannot be determined
  (d)

Referring to the previous question, what percentage of people watched all the three channels?

• (a) 3.5%
• (b) 0%
• (c) 8.5%
• (d) Cannot be determined
  (d)

A man earns \(x%\) on the first Rs. 2{,000 and \(y%\) on the rest of his income. If he earns Rs. 700 from income of Rs. 4{,000 and Rs. 900 from Rs. 5{,000, find \(x%\).

• (a) 20%
• (b) 15%
• (c) 25%
• (d) None of these
  (a)

AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If AB is 15 cm, AC is 12 cm and BD is 9 cm, find the area of the quadrilateral ACBD.

• (a) \(54\pi\) sq. cm
• (b) \(216\pi\) sq. cm
• (c) \(162\pi\) sq. cm
• (d) None of these
  (d)

P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R, find the value of R.

• (a) 5
• (b) 7
• (c) 9
• (d) 11
  (c)

Given that \(x > y > z > 0\). Which of the following is necessarily true?

• (a) la\((x, y, z) <\) le\((x, y, z)\)
• (b) ma\((x, y, z) <\) la\((x, y, z)\)
• (c) ma\((x, y, z) <\) le\((x, y, z)\)
• (d) None of these
  (c)

What is the value of ma\((10, 4, le(la(10, 5, 3), 5, 3))\)?

• (a) 7
• (b) 6.5
• (c) 8
• (d) 7.5
  (b)

For \(x = 15, y = 10, z = 9\), find the value of le\(\big(x, \min(y, x-z), \ le(9, 8, ma(x, y, z))\big)\).

• (a) 5
• (b) 12
• (c) 9
• (d) 4
  (a)

ABC is a three-digit number in which A \(>\) 0. The value of ABC is equal to the sum of the factorials of its three digits. What is the value of B?

• (a) 9
• (b) 7
• (c) 4
• (d) 2
  (d)

The adjoining figure shows a set of concentric squares. If the diagonal of the innermost square is 2 units, and if the distance between corresponding corners of any two successive squares is 1 unit, find the difference between the areas of the eighth and seventh squares, counting from the innermost square.

• (a) \(10\sqrt{2}\) sq. units
• (b) 30 sq. units
• (c) \(35\sqrt{2}\) sq. units
• (d) None of these
  (c)

A, B and C are defined as follows: \(A = \frac{2.000004}{\sqrt{(2.000004)^2 + (4.000008)^2}}\)
\(B = \frac{3.000003}{\sqrt{(3.000003)^2 + (9.000009)^2}}\)
\(C = \frac{4.000002}{\sqrt{(4.000002)^2 + (8.000004)^2}}\)


Which of the following is true about the values of the above three expressions?

• (a) All of them lie between 0.18 and 0.2
• (b) A is twice of C
• (c) C is the smallest
• (d) B is the smallest
  (a)

The value of each of a set of coins varies as the square of its diameter if its thickness remains constant, and it varies as the thickness if the diameter remains constant. If the diameter of two coins are in the ratio \(4 : 3\), what should be the ratio of their thickness if the value of the first is four times that of the second?

• (a) 16 : 9
• (b) 9 : 4
• (c) 9 : 16
• (d) 4 : 9
  (b)

In \(\triangle ABC\), points P, Q and R are the mid-points of sides AB, BC and CA respectively. If area of \(\triangle ABC\) is 20 sq. units, find the area of \(\triangle PQR\).

• (a) 10 sq. units
• (b) \(5\sqrt{3}\) sq. units
• (c) 5 sq. units
• (d) None of these
  (c)

In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?

• (a) \(\sqrt{3} : 2\)
• (b) \(1 : \sqrt{3}\)
• (c) \(2 : 5\)
• (d) \(3 : 4\)
  (a)

Raja starts working on February 25, 1996, and finishes the job on March 2, 1996. How much time would T and J take to finish the same job if both start on the same day as Raja?

• (a) 4 days
• (b) 5 days
• (c) Either (a) or (b)
• (d) Cannot be determined
  (c)

Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together likely to have completed the job, had they started on the same day as Raja?

• (a) March 15, 1996
• (b) March 14, 1996
• (c) March 22, 1996
• (d) Data insufficient
  (b)

If his journey, including stoppage, is covered at an average speed of 180 mph, what is the distance between Frankfurt and India?

• (a) 3,600 miles
• (b) 4,500 miles
• (c) 5,580 miles
• (d) Data insufficient
  (b)

If X had started the return journey from India at 2.55 a.m. on the same day that he reached there, after how much time would he reach Frankfurt?

• (a) 24 hr
• (b) 25 hr
• (c) 26 hr
• (d) Data insufficient
  (b)

What is X's average speed for the entire journey (to and fro)?

• (a) 176 mph
• (b) 180 mph
• (c) 165 mph
• (d) Data insufficient
  (a)

In the adjoining figure, points A, B, C and D lie on the circle. \(AD = 24\) and \(BC = 12\). What is the ratio of the area of \(\triangle CBE\) to that of \(\triangle ADE\)?

• (a) 1 : 4
• (b) 1 : 2
• (c) 1 : 3
• (d) Data insufficient
  (a)

In the given figure, EADF is a rectangle and ABC is a triangle whose vertices lie on the sides of EADF and AE = 22, BE = 6, CF = 16 and BF = 2. Find the length of the line joining the mid-points of the sides AB and BC.

• (a) \(4\sqrt{2}\)
• (b) 5
• (c) 3.5
• (d) None of these
  (a)

A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/hr. He was then chased by a policeman X. X started the chase, 15 min after the thief had started, at a speed of 65 km/hr. At what time did X catch the thief?

• (a) 3.30 p.m.
• (b) 3 p.m.
• (c) 3.15 p.m.
• (d) None of these
  (b)

If another policeman had started the same chase along with X, but at a speed of 60 km/hr, then how far behind was he when X caught the thief?

• (a) 18.75 km
• (b) 15 km
• (c) 21 km
• (d) 37.5 km
  (a)

What is the value of \(a^3 + b^3\)?


I. \(a^2 + b^2 = 22\)

II. \(ab = 3\)

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (c)

Is the number completely divisible by 99?


I. The number is divisible by 9 and 11 simultaneously.

II. If the digits of the number are reversed, the number is divisible by 9 and 11.

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (a)

A person is walking from Mali to Pali, which lies to its north-east. What is the distance between Mali and Pali?


I. When the person has covered \(\frac{1}{3}\) the distance, he is 3 km east and 1 km north of Mali.

II. When the person has covered \(\frac{2}{3}\) the distance, he is 6 km east and 2 km north of Mali.

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (b)

What is the value of \(x\) and \(y\)?


I. \(3x + 2y = 45\)

II. \(10.5x + 7y = 157.5\)

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (c)

Three friends P, Q, R wear hats either black or white. Each sees the other two hats. What is the colour of P's hat?


I. P says he can see one black hat and one white hat.

II. Q says that he can see one white hat and one black hat.

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (d)

What is the speed of the car?

I. The speed of a car is 10 km/hr more than that of a motorcycle.

II. The motorcycle takes 2 hr more than the car to cover 100 km.

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (c)

What is the ratio of the volume of the given right circular cone to the one obtained from it?


I. The smaller cone is obtained by passing a plane parallel to the base and dividing the original height in the ratio 1:2.

II. The height and base of the new cone are one-third those of the original cone.

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (b)

What is the area bounded by the two lines and the coordinate axes in the first quadrant?


I. The lines intersect at a point which also lies on \(3x - 4y = 1\) and \(7x - 8y = 5\).

II. The lines are perpendicular, and one of them intersects the Y-axis at an intercept of 4.

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (c)

What is the cost price of the chair?


I. The chair and the table are sold at profits of 15% and 20% respectively.

II. If the cost price of the chair is increased by 10% and that of the table by 20%, the profit reduces by Rs.\ 20.

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (d)

After what time will Tez and Gati meet while moving around the circular track? Both start at the same point and at the same time.


I. Tez moves at 5 m/s constant speed; Gati starts at 2 m/s and increases speed by 0.5 m/s every second thereafter.

II. Gati can complete one entire lap in exactly 10 s.

• (a) if the question can be answered with the help of one statement alone.
• (b) if the question can be answered with the help of any one statement independently.
• (c) if the question can be answered with the help of both statements together.
• (d) if the question cannot be answered even with the help of both statements together.
  (c)

Which of the following had the least cost per room?

• (a) Lokhandwala Group
• (b) Raheja Group
• (c) IHCL
• (d) ITC
  (a) Lokhandwala Group

Which of the following has the maximum number of rooms per crore of rupees?

• (a) IHCL
• (b) Raheja Group
• (c) Lokhandwala Group
• (d) ITC
  (c) Lokhandwala Group

What is the cost incurred for projects completed in 1998?

• (a) Rs. 475 crore
• (b) Rs. 500 crore
• (c) Rs. 522.5 crore
• (d) Rs. 502.5 crore
  (c) Rs. 522.5 crore

What is the cost incurred for projects completed in 1999?

• (a) Rs. 1,282.6 crore
• (b) Rs. 1,270 crore
• (c) Rs. 1,805.1 crore
• (d) Rs. 1,535 crore
  (a) Rs. 1,282.6 crore

What is the approximate cost incurred for projects completed by 2000?

• (a) Rs. 1,785
• (b) Rs. 2,140
• (c) Rs. 2,320
• (d) None of these
  (b) Rs. 2,140

When was the per capita production of milk least?

• (a) 1990
• (b) 1992
• (c) 1994
• (d) 1996
  (b) 1992

When was the per capita production of food grains most?

• (a) 1992
• (b) 1993
• (c) 1994
• (d) 1995
  (c) 1994

In which year was the difference between the percentage increase in the production of food grains and milk maximum?

• (a) 1993
• (b) 1994
• (c) 1995
• (d) 1996
  (c) 1995

If milk contains 320 calories and food grains contain 160 calories, in which year was the per capita consumption of calories highest?

• (a) 1993
• (b) 1994
• (c) 1995
• (d) 1996
  (b) 1994

If one gallon milk contains 120 g nutrient and one tonne food grains contains 80 g nutrient, in which year was the availability of this nutrient maximum?

• (a) 1993
• (b) 1994
• (c) 1995
• (d) 1996
  (b) 1994

Referring to the above question, in which year was the per capita consumption of this nutrient highest?

• (a) 1993
• (b) 1994
• (c) 1995
• (d) 1996
  (b) 1994

In which year was the increase in raw material maximum?

• (a) 1992
• (b) 1993
• (c) 1994
• (d) 1995
  (c) 1994

In which period was the change in profit maximum?

• (a) 1991-92
• (b) 1992-93
• (c) 1993-94
• (d) 1994-95
  (c) 1993-94

Which component of the cost production has remained more or less constant over the period?

• (a) Interest
• (b) Overheads
• (c) Wages
• (d) Raw material
  (a) Interest

In which year were the overheads, as a percentage of the raw material, maximum?

• (a) 1995
• (b) 1994
• (c) 1992
• (d) 1993
  (c) 1992

What percentage of the costs did the profits form over the period?

• (a) 3%
• (b) 5%
• (c) 8%
• (d) 11%
  (b) 5%

If the interest component is not included in the total cost calculation, which year would show the maximum profit per unit cost?

• (a) 1991
• (b) 1992
• (c) 1993
• (d) 1995
  (d) 1995

If the amount of power consumed by the various regions in sector 1 is the same, then as compared to 1991-92 the net tariff in 1994-95 was:

• (a) increased by 6.5%
• (b) decreased by 3.5%
• (c) increased by 10.2%
• (d) decreased by 7.3%
  (a)

What was the approximate average tariff in region 3 in 1991-92?

• (a) 407
• (b) 420
• (c) 429
• (d) None of these
  (b)

In 1994-95, if there was 10% decrease in the domestic consumption of power as compared to that in 1991-92, what was the consumption of power in the rural sector in 1991-92?

• (a) 1,312 megawatts
• (b) 1,422 megawatts
• (c) 1,750 megawatts
• (d) None of these
  (b)

In the given two years, what is the total tariff paid by the urban sector?

• (a) Rs. 22.4 lakh
• (b) Rs. 21.6 lakh
• (c) Rs. 27.2 lakh
• (d) Cannot be determined
  (b)

Which of the following statements is true?

• (a) The average tariff in region 4 is 437.5 p/kWh
• (b) The average tariff in region 2 is greater than the average tariff in region 5
• (c) In 1991-92, the industrial sector contributed to about 42% of the total revenue from power
• (d) None of these
  (c)

In 1974, the amount of agricultural loans formed what percentage of the total loans?

• (a) 85%
• (b) 71%
• (c) 77%
• (d) Cannot be determined
  (b)

From the given data, the number of rural loans up to 1980 formed approximately what percentage of those in 1983?

• (a) 112%
• (b) 80%
• (c) 97%
• (d) Cannot be determined
  (b)

Which of the following pairs of years showed the maximum increase in the number of rural bank loans?

• (a) 1971-72
• (b) 1974-75
• (c) 1970-71
• (d) 1980-81
  (d)

What is the value of the agricultural loans in 1983 at 1970 prices?

• (a) Rs.\ 326
• (b) Rs.\ 264
• (c) Rs.\ 305
• (d) None of these
  (b)

In which year was the number of rural bank loans per rural bank least?

• (a) 1974
• (b) 1971
• (c) 1970
• (d) 1975
  (c)

What is the simple annual rate of increase in the number of agricultural loans from 1970 to 1983?

• (a) 132%
• (b) 81%
• (c) 75%
• (d) 105%
  (b)

By roughly how many points do the indices for 1983 and 1975 differ (CPI for 1970 taken as 105 and adjusted accordingly)?

• (a) 174
• (b) 180
• (c) 188
• (d) 195
  (c)

What is the value of the loans in 1980 at 1983 prices?

• (a) Rs.\ 570 million
• (b) Rs.\ 680 million
• (c) Rs.\ 525 million
• (d) Rs.\ 440 million
  (b)