List of top Questions asked in CAT- 1998

Evaluate the following expression: \[ \left( (|1| \ 2) - \left( 10^{1.3} \vee \log_{10} 0.1 \right) \right) \div (1 \vee 2) \]
A certain number, when divided by 899, leaves a remainder 63. Find the remainder when the same number is divided by 29.
A yearly payment to the servant is Rs. 90 plus one turban. The servant leaves the job after 9 months and receives Rs. 65 and a turban. Then find the price of the turban.
If the USA dollar becomes cheap by 12% over its original cost and the cost of German mark increased by 20%, what will be the gain? (The selling price is not altered.)
One bacterium splits into eight bacteria of the next generation. But due to environmental condition only 50% survives and the remaining 50% dies after producing the next generation. If the seventh generation number is 4,096 million, what is the number in the first generation?
A company has a job to prepare certain number of cans and there are three machines A, B, and C for this job. A can complete the job in 3 days, B can complete the job in 4 days, and C can complete the job in 6 days. How many days will the company take to complete the job if all the machines are used simultaneously?
What is the maximum current gain possible?

A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter ∆ ABC.
∠ BAC = 30°
| (AB) = | (AC) = 10 m

What is the area that can be grazed by the cow if the length of the rope is 12 m?

A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter ∆ ABC.
∠ BAC = 30°
| (AB) = | (AC) = 10 m

What is the area that can be grazed by the cow if the length of the rope is 8 m?

Distance between A and B is 72 km. Two men started walking from A and B at the same time towards each other. The person who started from A travelled uniformly with average speed of 4 km/hr. While the other man travelled with varying speed as follows: in the first hour his speed was 2 km/hr, in the second hour it was 2.5 km/hr, in the third hour it was 3 km/hr, and so on. When will they meet each other?

Production pattern for number of units (in cubic feet) per day

For a truck that can carry 2,000 cubic ft, hiring cost per day is Rs. 1,000. Storing cost per cubic feet is Rs. 5 per day.

If the storage cost is reduced to Re 0.80 per cubic feet per day, then on which day(s), should the truck be hired?

Four identical coins are placed in a square. For each coin the ratio of area to circumference is the same as the ratio of circumference to area. Then find the area of the square that is not covered by the coins.

If \( n^3 \) is odd, which of the following statement(s) is(are) true?
I. \( n \) is odd.
II. \( n^2 \) is odd.
III. \( n^2 \) is even.

Everyone will admit that swindling one's fellow beings is a necessary practice; upon it is based the really sound commercial success formula ________ .

Learning is more efficient when it is _______ . It is less efficient when it is _______ .

As a step towards protesting against the spiralling prices, the farmers have decided to stage a picket in an effort to _____ .

Science is a sort of news agency comparable _______ to other news agencies.

Football evokes a ___ response in India compared to cricket, that almost _____ the nation.

When children become more experienced with words as visual symbols, they find that they can gain meaning without making _____ sounds.

Most political leaders acquire their position by causing a large number of people to believe that these leaders are ______ by altruistic desires.

Simple arithmetic tells us that there is more ______ than ______ .

To a greater or lesser degree all the civilized countries of the world are made up of a small class of rulers ______ of a large class of subjects ______ .

Social studies, science matters of health and safety, the very atmosphere of the classroom — these areas are few of the _____ for the ______ of proper emotional reactions.

How many five-digit numbers can be formed using the digits 2, 3, 8, 7, 5 exactly once such that the number is divisible by 125?

Three circles, each of radius 20, have centres at P, Q, and R. Further, AB = 5, CD = 10 and EF = 12. What is the perimeter of \( \triangle PQR \)?