List of top Quantitative Aptitude Questions

If a1 + a2 + a3 + .... + an = 3(2n+1 - 2 ) , for every n≥ 1, then a11 equals

In 2010, a library contained a total of 11500 books in two categories -fiction and nonfiction. In 2015, the library contained a total of 12760 books in these two categories. During this period, there was 10% increase in the fiction category while there was 12% increase in the non-fiction category. How many fiction books were in the library in 2015?

Meena scores 40% in an examination and after review, even though her score is increased by 50%, she fails by 35 marks. If her post-review score is increased by 20%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is

Let f be a function such that f (mn) = f (m) f (n) for every positive integers m and n. If f (1), f (2) and f (3) are positive integers, f (1) < f (2), and f (24) = 54, then f (18) equals

At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?

If x is a real number, then \(\sqrt{log_e\frac{4x-x^2}{3}}\)  is a real number if and only if

One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B, Amal took each mode of transport 1/3 of his total journey time, while Bimal took each mode of transport 1/3 of the total distance. The percentage by which Bimal’s travel time exceeds Amal’s travel time is nearest to

The number of solutions to the equation | x | (6x² + 1) = 5x² is

Rohan and Rahul are 144 km apart at A and B. Rohan travels at 8 km/hr. Rahul travels 4 km in the first hour, 5 km in the second, 6 km in the third, and so on. Find the point where they meet.

In an institute, an MBA exam has 4 sections and a sectional cutoff is applied. A candidate qualifies only if they clear \emph{every sectional cutoff. In how many ways may an applicant fail the exam?}

A mobile manufacturing company: 6 staff members packed 6 mobiles in 6 minutes. The management wants 60 mobiles packed in 60 minutes. How many staff members are required in total?

A new species lays exactly 120 eggs out of which 50\% are male and 50\% are female. The female insect hatch and grow in a span of 20 days to lay eggs by themselves. On 1st April 2018, an insect laid 120 eggs. Find how many eggs will be hatched (approx.) by the end of May 2018?

Average stipend of a group is \rupee50 per day. The difference between maximum and minimum stipend is \rupee45. If both these students are excluded, the average decreases by \rupee1. The minimum earning of any student lies between \rupee42 and \rupee47, and the number of students is a prime number whose both digits are also prime. Find the initial number of students.

Rahul asked Shyam to find the smallest integer $N$ such that $N!>10^N$. Shyam says $N$ is between 10–15; Sohan says 16–20; Suresh says 21–25; Sonal says 26–31. Who is correct?

Three circles with radii 1 cm each are drawn touching each other. Find the area of the shaded portion (in cm$^2$). \includegraphics[width=0.5\linewidth]{image85.png}

What is the sum of integers from \(113\) to \(113113\) that are divisible by \(7\)?

Find the number of zeros at the end of $(5!)^{5!}+(10!)^{10!}+(50!)^{50!}+(100!)^{100!}$.

Find the value of the given expression: \[ \sqrt{\left( 3 \frac{1}{4} \right)^4 - \left( 4 \frac{1}{3} \right)^4} = ? \]

Valve A fills a bathtub in 10 hours and valve B fills it in 15 hours. A and B are opened together; later B is closed. The tub is filled in 8 hours in total. For how long was B open?

Brigadier Rastogi travels from A to B at 40 km/hr on bike, from B to C at 10 km/hr on cycle. The distance AB equals BC. Then he travels from C to A via B at 24 km/hr by autorickshaw. Find his average speed.

A robot is 4 m long and placed at a corner of a \(16\text{ m}\times 30\text{ m}\) rectangular field. It faces the diagonally opposite corner and reaches that corner in \(15\) s. What is its speed?

The number of common terms in the two sequences: 15, 19, 23, 27, . . . . , 415 and 14, 19, 24, 29, . . . , 464 is

Find the unit's place digit of \((1!)^{1! + (2!)^{2!} + (3!)^{3!} + \cdots + (100!)^{100!}\).}

Amar consumed 100 laddoos from Monday to Friday. Each day he consumed 6 more laddoos than the previous day. How many laddoos did he consume on Wednesday?

Two trains of length 150 m each pass each other in 20 s when moving in opposite directions. When they move in the same direction, they take 40 s to pass each other completely. Find the speed of the faster train.