List of top Quantitative Aptitude Questions

One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks—the first was full of pure petrol while the second was empty. First, he transferred an arbitrary amount of petrol from the first tank into the second and then replaced the petrol removed from the first tank with kerosene. He then repeated this process one more time but this time he ensured that by the end of the process the second tank was exactly full.
Which of the following can be the concentration of petrol in the second tank?

Auto fare in Bombay is ₹2.40 for the first 1 km, ₹2.00 per km for the next 4 km, and ₹1.20 for each additional km thereafter. Find the fare in rupees for $k$ km ($k \geq 5$).

In the figure, $O$ is the centre of the circle and $AC$ is the diameter. The line $FEG$ is tangent to the circle at $E$. If $\angle GEC = 52^\circ$, find the value of $\angle E + \angle C$.

If the concentration of petrol in the second tank is 75% and the cost price of kerosene is half that of petrol, then what is Govind Lal's net profit percentage on selling the contents of the second tank given that he claims to sell the petrol at a profit of 25%?

Mohan’s fixed commission is ₹560 per assignment. Cost = ₹$2n^2$, where $n$ = number of chairs made. If average cost per chair ≤ ₹68, then minimum and maximum values of $n$ are:

On a plate in the shape of an equilateral triangle $ABC$ with area $16\sqrt{3}$ sq cm, a rod $GD$, of height 8 cm, is fixed vertically at the centre of the triangle. $G$ is a point on the plate. If the areas of the triangles $AGD$ and $BGD$ are both equal to $4\sqrt{19}$ sq cm, find the area of the triangle $CGD$ (in sq cm).

There are two water drums in my house whose volumes are in the ratio $1 : 5$. Every day the smaller drum is filled first and then the same pipe is used to fill the bigger drum. Normally by 1:30 pm the smaller drum would just be full. But today, I returned early and started drawing water manually. I poured one-third into the smaller drum and the rest into the bigger drum. I continued this till the smaller drum was full. Immediately after that, I shifted the pipe into the bigger drum. If today the bigger drum was filled 12 minutes earlier than the normal time, when was the smaller drum full?

Let $ f_{n+1}(x) = f_n(x) + 1 $ if $ n $ is a multiple of 3; otherwise, $ f_{n+1}(x) = f_n(x) - 1 $.
If $ f_1(1) = 0 $, then what is $ f_{50}(1) $?

Two cars $A$ and $B$ start from two points $P$ and $Q$ respectively towards each other simultaneously. After travelling some distance, at a point $R$, car $A$ develops engine trouble. It continues to travel at $2/3$rd of its usual speed to meet car $B$ at point $S$ where $PR = QS$. If the engine trouble had occurred after car $A$ had travelled double the distance it would have met car $B$ at a point $T$ where $ST = SQ/9$. Find the ratio of speeds of $A$ and $B$.

Vaibhav wrote a certain number of positive prime numbers on a piece of paper. Vikram wrote down the product of all the possible triplets among those numbers. For every pair of numbers written by Vikram, Vishal wrote down the corresponding GCD. If 90 of the numbers written by Vishal were prime, how many numbers did Vaibhav write?

Rajat draws a $10 \times 10$ grid with squares numbered 1 to 100. He places two identical stones on any two separate squares. How many distinct ways are possible?

The values of the numbers $2^{2004}$ and $5^{2004}$ are written one after another. How many digits are there in all?

The sum of the areas of two circles which touch each other externally is $ 153\pi $. If the sum of their radii is 15, find the ratio of the larger to the smaller radius.

OABC is a square where O is the origin and AB = 1. Consider the set of points S = (x_i, y_i) in the square such that x_i + y_i ≤ 1.

Let P(x₁, y₁) and Q(x₂, y₂) be two such points. Two operations addition (+) and multiplication (·) on S are defined as:

P + Q = (x₁ + x₂ − x₁x₂, y₁y₂)

P · Q = (x₁x₂, y₁ + y₂ − y₁y₂)

Let A₁, A₂, …, A_n be the points on the straight line y = px + q. The coordinates of A_k is (X_k, Y_k), where k = 1, 2, …, n such that X₁, X₂, …, X_n are in arithmetic progression. The coordinates of A₂ is (2, −2) and A₂₄ is (68, 31).

Determine the value(s) of “a” for which the point $(a, a^2)$ lies inside the triangle formed by the lines: $2x+3y=1$, $x+2y=3$ and $5x-6y=1$.

88, 96, 104, ?

3, 9, .............., 6561

Four gardeners with four grass mowers mow 400 square meters of ground in four hours. How long would it take for eight gardeners with eight grass mowers to mow 800 square meters of ground?

Find 12% of 5000:

Square root of 400 is:

Y travels 15 kilometers due South, then 5 km due West, then 18 km due North, then 3 km due South, then 5 km due East. How far is he from the starting point?

100, 50, 33.33, .............., 20

Which of the following fractions has the highest value: $ \frac{3}{5}, \frac{4}{3}, \frac{2}{5}, \frac{1}{2} $

$ 6 \times 3 \, (3 - 1) $ is equal to: