List of top Quantitative Ability and Data Interpretation Questions asked in Integrated Program in Management Aptitude Test

Given that $ {^{17 - x}C_{3x + 1}} $ is defined, find the number of integer values of $ x $.

The number of integer solutions of the equation $x_1 + x_2 + x_3 + x_4 = 50$, where $x_1 \ge 1$, $x_2 \ge 2$, $x_3 \ge 0$, and $x_4 \ge 0$, is:

The terms of a geometric progression are real and positive. If the $ p $-th term of the progression is $ q $ and the $ q $-th term is $ p $, then the logarithm of the first term is:

Let ABC be a triangle with AB = AC and D be a point on BC such that $ \angle BAD = 30^\circ $. If E is a point on AC such that AD = AE, then $ \angle CDE $ equals:

If 5 boys and 3 girls randomly sit around a circular table, the probability that there will be at least one boy sitting between any two girls, is:

The side AB of a triangle ABC is c. The median BD is of length k. If $ \angle BDA = \theta<90^\circ $, then the area of triangle ABC is:

The difference between the maximum real root and the minimum real root of the equation $ (x^2 - 5)^4 + (x^2 - 7)^4 = 16 $ is:

Sagarika divides her savings of 10000 rupees to invest across two schemes A and B. Scheme A offers an interest rate of 10% per annum, compounded half-yearly, while scheme B offers a simple interest rate of 12% per annum. If at the end of the first year, the value of her investment in scheme B exceeds the value of her investment in scheme A by 2310 rupees, then the total interest, in rupees, earned by Sagarika during the first year of investment is:

If $ \theta $ is the angle between the pair of tangents drawn from the point $ A(0, 2) $ to the circle $ x^2 + y^2 - 4x + 16y + 88 = 0 $, then $ \tan \theta $ equals:

The numbers $2^{2024}$ and $5^{2024}$ are expanded and their digits are written out consecutively on one page. The total number of digits written on the page is:

The smallest possible number of students in a class if the girls in the class are less than 50% but more than 48% is:

A fruit seller had a certain number of apples, bananas, and oranges at the start of the day. The number of bananas was 10 more than the number of apples, and the total number of bananas and apples was a multiple of 11. She was able to sell 70\% of apples, 60\% of bananas, and 50\% of oranges during the day. If she was able to sell 55\% of the fruits she had at the start of the day, then the minimum number of oranges she had at the start of the day was:

The number of real solutions of the equation $x^2 - 10 |x| - 56 = 0$ is: