List of top Quantitative Aptitude Questions asked in CAT

Four persons ‘P’, ‘Q’, ‘R’ and ‘S’ has different amounts with them. ‘S’ has thrice the amount as that with ‘P’. ‘Q’ has 25% more amount than ‘S’. The amount ‘R’ has is equal to the average amount all four persons have. If the sum of the amounts ‘P’ and ‘R’ have is Rs. 4300, then find the amount ‘R’ have.

A chemist has two solutions, A and B. Solution A is 30% acid and the rest water, while solution B is 60% acid and the rest water. If equal amounts of solutions A and B are mixed to form a new solution C, what is the percentage of acid in solution C?

Find the minimum numbers starting from 74 that are multiplied to get 50 zeros at the end ?

Aman bought '3x' shares for Rs. 420 per share, '4x' shares for Rs. 450 per share and '3x' shares for Rs. 430 per share. He sold 40% of the shares at Rs. 480 per share and the rest at Rs. 'y' per share. If he made a total profit of 20% on the whole transaction, find the value of 'y'.

A school has less than 5000 students and if the students are divided equally into teams of either 9 or 10 or 12 or 25 each, exactly 4 are always left out. However, if they are divided into teams of 11 each, no one is left out. The maximum number of teams of 12 each that can be formed out of the students in the school is

In a ∆PQR, internal angle bisectors of ∠Q and ∠R meet at I while external angle bisectors of ∠Q and ∠R meet at X. If ∠P = 54°, then find the measures of ∠QIR and ∠QXR, respectively.

A group of friends decided to share the cost of a gift equally. If each person contributed Rs. 50, the amount would have been short by Rs. 20. However, if each person contributed Rs. 60, they would have Rs. 30 more than the required amount. What is the price of the gift?

In a library, the ratio of fiction books to non-fiction books is 7:5. The ratio of English fiction books to Hindi fiction books is 2:3. If there are 420 English fiction books, find the total number of non-fiction books in the library.

In a group of 100 people, 70 like coffee, 60 like tea, and 45 like both coffee and tea. How many people like neither coffee nor tea?

P and Q start a business with initial investment Rs.5000 and Rs.4000 respectively. After ’t’ years Q adds 25% of what he invested initially and another person R joins the business with them with initial investment Rs.7000 and after 5years from the start of the business P adds Rs.1000 more to his capital. If at the end of 8 years total profit from the business is Rs.11900 while share of Q is Rs.3750, what is the share of R in the profit.

Let a,b,c be non-zero real numbers such that b2<4ac, and f(x)=ax2+bx+c. If the set S consists of all integers m such that f(m)<0, then the set S must necessarily be

Let f(x) = ax² + bx + c, where a, b, and c are real numbers with a ≠ 0. If the graph of f(x) intersects the x-axis at two distinct points with x-coordinates p and q (p < q), then the equation ax² + bx + c + 1 = 0 has:

The sets \( P_n \) are defined as \( \{ n, n+1, n+2, n+3, n+4, n+5, n+6, n+7, n+8 \} \), where \( n = 1, 2, 3, \ldots, 520 \). How many of these sets contain a multiple of 17?

What is the remainder when \( 13^{2013} \) is divided by 100?

Let \( y = (1^2) + (2^2) + \cdots + (10000^2) \), what is the remainder when \( y \) is divided by 1152?

If 150! is converted to base 7, how many consecutive zeros would be there at the end of it?

Find the sum of the digits of \( 100^{100} - 10 \).

Perimeter of \(\Delta ABC\) is 32 m. If AB = BC and altitude BD measures 8 m, find area of triangle ABC.

In an examination of 12600 students, the ratio of the number of boys to the number of girls is 3:4. The ratio of the number of students who passed the exam to those who failed the exam is in the ratio of 11:3. Among the girls, the ratio of the number of students who passed to those who failed the exam is in ratio 11:4. Find the difference between the number of boys who passed and failed the exam.

Solution P contains three liquids A, B, and C in the ratio 2:3:5 respectively. Another solution Q contains A, B, and C in the ratio 5:3:2 respectively. Solutions P and Q are mixed in the ratio 7:3 to obtain another solution R. Now 50% volume of R is replaced with another solution having A and B in the ratio 7:3. The resulting solution is Z. Find the percentage amount of B in solution Z.

All natural numbers that give remainders 1 and 2 when divided by 6 and 5, respectively, are written in ascending order, side by side, from left to right. What is the 99th digit from the left of the number thus formed?

In a shop, the marked price of an article is Rs.4000. The shopkeeper gives some discount on that article and earns profit of Rs.550. Find the percentage discount on that article,if its cost price is Rs.2250.