List of top Questions asked in CAT- 1999

DIRECTIONS for questions: Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements. Example:
A. All cigarettes are hazardous to health.
B. Brand X is a cigarette.
C. Brand X is hazardous to health.
ABC is a valid option, where statement C can be concluded from statements A and B.

A. Apples are not sweets.
B. Some apples are sweet.
C. All sweets are tasty.
D. Some apples are not tasty.
E. No apple is tasty.

DIRECTIONS for questions: Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements. Example:
A. All cigarettes are hazardous to health.
B. Brand X is a cigarette.
C. Brand X is hazardous to health.
ABC is a valid option, where statement C can be concluded from statements A and B.

A. Traffic congestion increases carbon monoxide in the environment.
B. Increase in carbon monoxide is hazardous to health.
C. Traffic congestion is hazardous to health.
D. Some traffic congestion does not cause increased carbon monoxide.
E. Some traffic congestion is not hazardous to health.

DIRECTIONS for questions: Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements. Example:
A. All cigarettes are hazardous to health.
B. Brand X is a cigarette.
C. Brand X is hazardous to health.
ABC is a valid option, where statement C can be concluded from statements A and B.

A. All software companies employ knowledge workers.
B. Tara Tech employs knowledge workers.
C. Tara Tech is a software company.
D. Some software companies employ knowledge workers.
E. Tara Tech employs only knowledge workers.

There is a square field with each side 500 metres long. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight line fence. The compound wall and the fence will form its borders. If the length of the fence is 100 metres, what is the maximum area in square metres that can be cordoned off?

There is a circle of radius 1 cm. Each member of a sequence of regular polygons \(S_1(n)\), \(n = 4, 5, 6, \ldots\), where \(n\) is the number of sides of the polygon, is circumscribing the circle; and each member of the sequence of regular polygons \(S_2(n)\), \(n = 4, 5, 6, \ldots\), where \(n\) is the number of sides of the polygon, is inscribed in the circle. Let \(L_1(n)\) and \(L_2(n)\) denote the perimeters of the corresponding polygons of \(S_1(n)\) and \(S_2(n)\). Then \(\frac{L_1(13) + 2\pi}{L_2(17)}\) is

Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6:30 am and travels at 50km per hour towards Baroda situated 100 kms away. At 7:00 am Howrah - Ahmedabad express leaves Baroda towards Ahmedabad and travels at 40 km per hour. At 7:30 Mr. Shah, the traffic controller at Baroda realises that both the trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?

Abraham, Border, Charlie, Dennis and Elmer and their respective wives recently dined together and were seated at a circular table. The seats were so arranged that men and women alternated and each woman was three places distant from her husband. Mrs. Charlie sat to the immediate left of Mr. Abraham. Mrs. Elmer sat two places to the right of Mrs. Border. Who sat to the right of Mr. Abraham?

If \(n^2 = 123456787654321\), what is \(n\)?

Three labeled boxes containing red and white cricket balls are all mislabeled. It is known that one of the boxes contains only white balls and one only red balls. The third contains a mixture of red and white balls. You are required to correctly label the boxes with the labels red, white and red and white by picking a sample of one ball from only one box. What is the label on the box you should sample?

The figure below shows two concentric circles with centre O. PQRS is a square, inscribed in the outer circle. It also circumscribes the inner circle, touching it at points B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD?

In a survey of political preference, 78% of those asked were in favor of at least one of the proposals: I, II and III. 50% of those asked favored proposal I, 30% favored proposal II, and 20% favored proposal III. If 5% of those asked favored all three of the proposals, what percentage of those asked favored more than one of the 3 proposals.

If \( n = 1 + x \), where \( x \) is the product of four consecutive positive integers, then which of the following is/are true?
A. \( n \) is odd
B. \( n \) is prime
C. \( n \) is a perfect square

If \( |r - 6| = 11 \) and \( |2q - 12| = 8 \), what is the minimum possible value of \( q / r \)?

Forty percent of the employees of a certain company are men, and 75 percent of the men earn more than Rs. 25,000 per year. If 45 percent of the company's employees earn more than Rs. 25,000 per year, what fraction of the women employed by the company earn Rs. 25,000 year or less?

Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. 700 when there are 25 boarders and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?

The speed of a railway engine is 42 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:

For a scholarship, at most n candidates out of 2n + 1 can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is:

Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?

The remainder when \( 7^{84} \) is divided by \( 342 \) is :

Let a, b, c be distinct digits. Consider a two digit number \( 'ab' \) and a three digit number \( 'ccb' \), both defined under the usual decimal number system. If \( (ab)^2 = ccb \) and \( ccb > 300 \) then the value of b is

The number of positive integer valued pairs \( (x, y) \), satisfying \( 4x - 17y = 1 \) and \( x < 1000 \) is:

Arrange the sentences A, B, C and D to form a logical sequence between sentences 1 and 6.

1. The reconstruction of history by post-revolutionary science texts involves more than a multiplication of historical misconstructions.
A. Because they aim quickly to acquaint the student with what the contemporary scientific community thinks it knows, textbooks treat the various experiments, concepts, laws and theories of the current normal science as separately and as nearly seriatim as possible.
B. Those misconstructions render revolutions invisible; the arrangement of the still visible material in science texts implies a process that, if it existed, would deny revolutions a function.
C. But when combined with the generally unhistorical air of science writing and with the occasional systematic misconstruction, one impression is likely to follow.
D. As pedagogy this technique of presentation is unexceptionable.
6. Science has reached its present state by a series of individual discoveries and inventions that, when gathered together, constitute the modern body of technical knowledge.

Arrange the sentences A, B, C and D to form a logical sequence between sentences 1 and 6.

1. According to recent research, the critical period for developing language skills is between the age of three and five years.
A. The read-to child already has a large vocabulary and a sense of grammar and sentence structure.
B. Children who are read to in these years have a far better chance of reading well in school, indeed, of doing well in all their subjects.
C. And the reason is actually quite simple.
D. This correlation is far and away the highest yet found between home influences and school success.
6. Their comprehension of language is therefore very high.

Arrange the sentences A, B, C and D to form a logical sequence between sentences 1 and 6.

1. Picture a termite colony, occupying a tall mud hump on an African plain.
A. Hungry predators often invade the colony and unsettle the balance.
B. The colony flourishes only if the proportion of soldiers to workers remains roughly the same, so that the queen and workers can be protected by the soldiers, and the queen and soldiers can be serviced by the workers.
C. But its fortunes are presently restored, because the immobile queen, walled in well below ground level, lays eggs not only in large enough numbers, but also in the varying proportions required.
D. The hump is alive with worker termites and soldier termites going about their distinct kinds of business.
6. How can we account for her mysterious ability to respond like this to events on the distant surface?

In each of the following sentences, a part of the sentence is underlined. Beneath each sentence, four different ways of phrasing the underlined part are indicated. Choose the best alternative from among the four. (The underlined part is shown in bold.)

Bacon believes that the medical profession should be permitted to ease and quicken death where the end would otherwise only delay for a few days and at the cost of great pain.