List of top Quantitative Aptitude Questions

α and β are the roots of the equation x²+9x+18=0, where α>β. Then for the equation x²-ax+b=0 with its roots as (α+β) and (-3α), find the value of (a+b).

Find the range of x that satisfies the equation: || 3x-6| +4|<10.

If log₈ 9, log₈ (2y+7) and log₈ (3y+6) are in arithmetic progression with non-zero common difference, find the value of y.

A bag contains some red, some green and 9 blue balls. Ratio of number of red to green ball in the bag is 5:4. If the probability of drawing a red ball is \(\frac{1}{6}\) more than that of drawing a blue ball then find the probability of getting three different coloured ball when three balls are drawn from the bag one after another and without replacement.

An overhead water tank of 7200 m³ capacity is being filled with water. The delivery of the pump filling the tank is 5/6^th of the delivery of the pump discharging the same tank. As a result, 24 minutes more is needed to fill the tank than discharge it. Determine the delivery of the pump in filling the tank.

A rectangular sheet of metal is rolled along its length to form a cylinder of volume 269500 cm3and lateral surface area 15400 cm2. If the sheet would have been cut in two halves vertically dividing its length in 2:3 ratio and then these parts are rolled into two cylinders along their lengths, then find the sum of volume of both the cylinders formed and also find the difference between area of both parts of sheet when cut.

The average weight of ‘b’ boys in a group is 63 kg. A boy whose weight is 147 kg joins the group such that the average weight of the group becomes a prime number in between 65 and 91. Find the value of ‘b+1’.

Siddharth, Nikita, Vinay and Neha individually takes different number of hours to complete a task. If Siddharth, Nikita and Vinay works together then they take 6 hours 40 minutes to complete the task and if Nikita, Vinay and Neha works together then they take 8 hours to complete the task. If Siddharth and Neha working together complete the task in 13 hours 20 minutes, then how much time will all the four persons take to complete the task working together?

A and B started a business with their initial investments of Rs.180 and X respectively. After 2 years from the start of the business, another person C joins them with investment Rs.300 and A and B invested additional amounts in the ratio of 1:5 respectively. If at the end of 5 years C receives (\(\frac{10}{33}\)) of total profit and the ratio of total profit of B to total profit of C is 7:6, what was the additional amount invested by B?

A cruise operates between Mumbai and Dubai. Each ticket of the cruise costs Rs. 2,500. The cruise is operated by a private company that has to pay a fixed cost per journey and a variable cost that depends on the number of passengers on board, to the government. If 100 passengers aboard the cruise, then the company suffers a loss of Rs. 1,000 per ticket However, when 400 passengers aboard the cruise, then the company earns Rs. 500 per ticket Find the profit earned by the company, when 600 passengers aboard the cruise.

After reducing the marked price of a table by 125 rupees, a carpenter makes a profit of 20%. If the cost price is 875 rupees, what percentage of profit would he have gained if he had sold the table only at a discount of 20%?

Vrushali invested Rs. (X+3000) on compound interest of r% p.a. compounded annually for 2 years and Tarushi invested Rs. (X – 2000) on simple interest of (r-2)% p.a. for 3 years. The total interest received by both of them is together Rs. 12360. If Anant invested Rs. (X + 8000) on simple interest for 3 years on 15% and received an interest of Rs. 13500, find the value of ‘r’.

Scheme A offers 25% interest and scheme B offers 20% interest. M invested Rs.4000 in scheme A and Rs.6000 in scheme B at compound interest. After 2 years, he invested the amount received from scheme A and B in schemes B and A respectively at simple interest for 2 more years. If another person N invested Rs.6000 in scheme A and Rs.4000 in scheme B at compound interest. After 2 years, he invested the amount received from scheme A and B in schemes B and A respectively at simple interest for 2 more years, then what is the difference between total amount received by M and N after 4 years?

If 35% of x% of y=700% of y% of z, find the relation between ‘x’ and ‘z’.

In the questions two columns are given. You are required to solve the equations given in the "equations" column and match them with the correct statement given about the desired equation in the "conditions" column.

	Equations		Conditions
(a)	2x2 – 11x + 12 = 0	(d)	Product of roots is negative
(b)	5x2 21x – 20 = 0	(e)	Product of roots is completely divisible by 6
( c)	x2 – 17x + 72 = 0	(f)	Sum of both roots is positive

The digit at the unit place of P would be: Given, P=(6+1) (6²+1) (6³+1) ......... (6100+1)

The LCM and product of two numbers X and Y are 180 and 2700, respectively. If X is completely divisible by Y, then the value of (X-Y) is _____.

Let X=11×12×13×_____×75. Suppose ‘X’ is divisible by 10^2k (where ‘k’ is a natural no.). Find the maximum value of ‘k’.

All the vertices of a rhombus lie on a circle of radius R. If the length of one diagonal of the rhombus is D, then the area of the rhombus is:

At what exact time between 3:00 PM and 4:00 PM do the hour and minute hands of a standard clock coincide?

A sum of money is divided among A, B, and C in the ratio 3:5:7 respectively. If B gets Rs. 300 more than A, then the total amount of money is:

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?

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?

A circle is inscribed in a square of side 10 cm. Find the area of the region between the square and the circle.

A triangular garden has its corners at points A(2, 3), B(5, 7), and C(1, 6) on a coordinate plane. If a fourth point D is added to form a parallelogram ABCD, what are the coordinates of point D?