List of top Quantitative Aptitude Questions asked in CAT

A third standard teacher gave a simple multiplication exercise to the kids. But one kid reversed the digits of both the numbers and carried out the multiplication and found that the product was exactly the same as the one expected by the teacher. Only one of the following pairs of numbers will fit in the description. Which one is that?

What is the greatest power of 5 which can divide $80!$ exactly?

$x, y, z$ are three positive integers such that $x>y>z$. Which of the following is closest to the product $xyz$?

A one rupee coin is placed on a table. The maximum number of similar one rupee coins which can be placed on the table, around it, with each one of them touching it and only two others is:

There are 3 clubs A, B \& C in a town with 40, 50 \& 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?

Let $Y = \min((x + 2), (3 - x))$. What is the maximum value of $Y$ for $0 \le x \le 1$?

A square piece of cardboard of side 10 inches is taken and four equal square pieces are removed at the corners, such that the side of this square piece is also an integer value. The sides are then turned up to form an open box. Then the maximum volume such a box can have is:

What was the ratio of schools having laboratory to those having library?

A player rolls a die and receives the same number of rupees as the number of dots on the face that turns up. What should the player pay for each roll if he wants to make a profit of one rupee per throw of the die in the long run?

The sum of two integers is 10 and the sum of their reciprocals is $\frac{5}{12}$. Then the larger of these integers is:

If $y = f(x)$ and $f(x) = \dfrac{1 - x}{1 + x}$, which of the following is true?

Let the consecutive vertices of a square S be A, B, C \& D. Let E, F \& G be the mid-points of the sides AB, BC \& AD respectively of the square. Then the ratio of the area of the quadrilateral EFDG to that of the square S is nearest to:

$2^{73} - 2^{72} - 2^{71}$ is the same as:

The number of integers $n$ satisfying $-n + 2 \ge 0$ and $2n \ge 4$ is:

A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circumscribed circle?

How many schools had none of the three viz., laboratory, library or play-ground?

How many 3-digit even numbers can you form such that if one of the digits is $5$ then the following digit must be $7$?

Iqbal dealt some cards to Mushtaq and himself from a full pack of playing cards and laid the rest aside. Iqbal then said to Mushtaq, “If you give me a certain number of your cards, I will have four times as many cards as you will have. If I give you the same number of cards, I will have thrice as many cards as you will have.” Of the given choices, which could represent the number of cards with Iqbal?

Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integer?

A function can sometimes reflect on itself, i.e. if $y = f(x)$, then $x = f(y)$. Both of them retain the same structure and form. Which of the following functions has this property?

What is the radius of the circle?
I. Ratio of its area to circumference is $> 7$.
II. Diameter of the circle is $\leq 32$.

What is the time difference between New York and London?
I. The departure time at New York is exactly 9.00 a.m. local time and the arrival time at London is at 10.00 a.m. local time.
II. The flight time is 5 hours.

Mr. Murthy takes the morning train to his office from station A to station B, and his colleague Mr. Rahman joins him on the way. There are three stations C, D and E on the way not necessarily in that sequence. What is the sequence of stations?
I. Mr. Rahman boards the train at D.
II. Mr. Thomas, who travels between C \& D has two segments of journey in common with Mr. Murthy but none with Mr. Rahman.