List of top Questions asked in CAT

If $x$ is a positive integer such that $2x + 12$ is divisible by $x$, then the number of possible values of $x$ is:
A man walks one km east, two km north, one km east, one km north, one km east, one km north. What is the shortest distance from the starting point to the destination?
$x, y, z$ are three positive integers such that $x>y>z$. Which of the following is closest to the product $xyz$?
What is the greatest power of 5 which can divide $80!$ exactly?
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?
Find the minimum integral value of $n$ such that the division $55n/124$ leaves no remainder.
Let $k$ be a positive integer such that $k + 4$ is divisible by 7. Then the smallest positive integer $n>2$ such that $k + 2n$ is also divisible by 7 equals:
A calculator has two memory buttons, A and B. Value 1 is initially stored in both memory locations. The following sequence of steps is carried out five times:
- Add 1 to B
- Multiply A to B
- Store result in A
What is the value stored in memory location A after this procedure?
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:
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?
Three machines, A, B and C can be used to produce a product. Machine A takes 60 hours to produce a million units. Machine B is twice as fast as A. Machine C takes the same time as A and B together. How much time will be required to produce a million units using all three machines?
Let $Y = \min((x + 2), (3 - x))$. What is the maximum value of $Y$ for $0 \le x \le 1$?
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?
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:
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:
The sum of two integers is 10 and the sum of their reciprocals is $\frac{5}{12}$. Then the larger of these integers 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?
If $y = f(x)$ and $f(x) = \dfrac{1 - x}{1 + x}$, which of the following is true?
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 $7$?
Alord got an order for 480 Denim Shirts. He brought 12 sewing machines and appointed some expert tailors to do the job. However, many didn’t report to duty. As a result, each of those who did, had to stitch 32 more shirts than originally planned by Alord, with equal distribution of work. How many tailors had been appointed earlier and how many had not reported for work?
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?