List of top Questions asked in CAT

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?

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

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.

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

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

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

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?

I am always the first to admit that I have not accomplished everything that I _________ achieve five years ago.

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

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 $x%$.

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

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.

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?

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?

The central thrust of the passage is that

The question contains six statements followed by four sets of combinations of three. You have to choose that set in which the third statement logically follows from the first two.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.

The question contains six statements followed by four sets of combinations of three. You have to choose that set in which the third statement logically follows from the first two.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.

The question contains six statements followed by four sets of combinations of three. You have to choose that set in which the third statement logically follows from the first two.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 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?