List of top Quantitative Aptitude Questions

What is the value of \[ \frac{(1.5)^4 + (1.2)^4 + 3.24}{(1.5)^2 + (1.2)^2 - 1.8}? \]
Let \( A = \mathbb{R} - \{ 3 \} \) and \( B = \mathbb{R} - \{ 1 \} \). Let \( f : A \to B \) be defined by \( f(x) = \frac{x-2}{x-3} \). What is the value of \( f^{-1} \left( \frac{1}{2} \right) \)?
If U = { 1, 2, 3, 4, 5, 6, 7, 8 } is the universal set, A = { 2, 3, 6, 7 }, B = { 3, 4, 5, 6 }, and C = { 5, 6, 7, 8 }, then n[̅A ∩ (C - B)] + n[̅A ∩ (B ∨ C)] = k, where ̅A is the complement of set A. The value of k is:
Let \( U \) be the universal set, and \( A \) and \( B \) be the subsets of \( U \). If \( n(U) = 450 \), \( n(A) = 200 \), \( n(B) = 205 \), and \( n(A \cap B) = 15 \), then \( n(\overline{A}\cap \overline{B}) \) is equal to:
Three persons enter into a partnership by investing in the ratio of 9:8:1. After one year P double his investment and R puts another Rs.6000 to the initial investment. Now the ratio of investment is 9:8:2. What is total investment of P,Q and R after 2 years?
A retailer purchases shirts from a distributor at the rate of 300 per shirt and puts the label of 450 on each shirt. If the retailer allows some discount and still make a profit of 23%, then what is the discount percentage offered by the shopkeeper?
Read the following information carefully and answer the question that follows.
What is the ratio of sales in second quarter by Volvo to sales in first quarter by Mercedes?
Figure
Read the following information carefully and answer the question that follows.
How many trucks did Tata Motors sell in the complete year approximately?
Figure
12 men and 6 women can complete a work in 10 days. 3 men and 6 women can complete this work in 25 days. How many men are required to complete this work in 5 days?
In a basketball team with 12 players, the average height of the players is 170 cm. Out of these players, the average height of 7 players is 166 cm. What is the average height of the remaining 5 players?
The price of a diamond is directly proportional to square its weight. A trader bought a piece of diamond weighing 10 grams for Rs.2,00,000. He broke it into three pieces of weights 5 grams, 3 grams and 2 grams, and sold them individually. What was the total loss incurred by the trader?
Point M is the point of intersection of all the 3 medians of a triangle\(\triangle\)ABC. The median drawn from vertex A intersects the side BC at point D and the lengths of AD and BC are 21 cm and 24 cm respectively. What is the sum of the lengths of BD and MD?
From a bucket full of water, \(\frac{3}{10}\)th of water is taken out. Now, 4 litres of water is added to the bucket. Then, \(\frac{1}{5}\)th of water is taken out leaving only \(\frac{2}{3}\)rd of the bucket full. What is the capacity of the bucket?
An item with a marked price of Rs.400 is sold at successive discounts of \(30\%\),\(20\%\),\(20\%\)and\(10\%\). What will be the actual selling price of the item?
A cyclindrical water tank having a height of 6 metres has a capacity of 5,000 litres. Two pipes are filling this tank at the rate of 30 litres per second and 20 litres per second. There are two leaks in the tank. One is at a height of 3 metres and it drains water at the rate of 10 litres per second. Other is at a height of 4.5 metres and it drains water at the rate of 5 litres per second. How much time will it take to fill the empty tank?
Harry and Sharry together take 8 days to dig a cubical well of depth, length and width 5 metres each. If Harry is twice as fast as Sharry, then how much time would Sharry alone take to dig up a cubical well of depth, length and width 10 metres each?
A sum of money is invested at compound interest for 3 years. However, the rate of interest is\(10\%\)for first year,\(15\%\)for second year and\(20\%\)for third year. If the total interest earned is Rs.15,540, then what was the sum of money invested?
When Mohan started chasing a thief, the thief was 200 metres ahead of Mohan. Mohan was running at the speed of 18 km/hr while thief was running at 9 km/hr. After 20 seconds, Mohan increased his speed to 27 km/hr. How much time did Mohan take in total to chase the thief?
In a class with 20 students, the average score in a test is 15. Out of the 20 students, 5 students scored 0 mark. What is the average marks of the remaining student if the students who scored 0 mark are excluded?
The numerator of a fraction is 5 more than twice the denominator. Also, when 2 is added to the fraction, the numerator increases by 12. If the given fraction is squared and the numerator is divided by the denominator, then what will be the remainder?
A sum of ₹2,00,000 is invested for 2 years at an annual interest rate of \(20\%\)per annum compounded half yearly. After 2 years, the amount is invested again at \(30\%\)simple interest per annum for 1 year. What will be the final amount after 3 years?
\(40\%\) of \(70\%\) of P is same as \(35\%\) of \(R\%\) of Q. Also,\(P\%\) of \(P\%\)of 400 is 16. What is the product of P, Q and R?
How many prime numbers are there that are less than 30 and can be represented both as a sum and a difference of two primes?
A cuboid of dimension \(12 cm \times 16 cm \times 20 cm\) is cut into small cubes of edge length 4 cm. What is the difference between the total surface area of the original cuboid and the sum of the surface area of all the small cubes?
If '\(+\)' means '\(\div\)', '\(-\)' means '\(+\)', '\(\div\)' means '\(\times\)' and '\(\times\)' means '\(-\)', then what will be the value of \(13\div15-1670 + 5 \times21 \)?