Quantitative Aptitude PYQs

In a municipal election three candidates, Santosh, Ravi, and Vipin, contested and the valid votes they got were in the ratio of 11 : 4 : 9. If the winner defeated his nearest rival by 8350 votes, then how many valid votes were polled in that election?

The population of a town increases by 5% every year. If the present population of the town is 282240, then what was the population of the town 2 years ago?

Shital covers a certain distance in 9 hours at the speed of 40 km/h. If she wants to cover the same distance in 6 hours, then by how much will she have to increase her speed (in km/h)?

A steel rod of 4 cm diameter and 14 cm length is used in the making of solid cubical dice. If the length of each side of each dice is 4 mm, then how many such dice can be made from this rod? [Use π = \(\frac{{22}}{7}\)]

Study the given bar-graph and answer the question that follows.

The bar-graph given below shows the distribution of the expenditure of the Company ABC under different heads during a given year as percentages of the total expenditure of the company during that year. The total annual expenditure of the company is ₹ 30 crores.

What is the difference (in ₹) between the amount spent on rent and that on other expenses?

What will be the compound interest on an amount of ₹ 8,000 for 3 months at 5% per annum, if the interest is payable quarterly?

A bag contains ₹5 and ₹10 coins for a total of 40 coins and a total amount of ₹310. What is the difference between the amount made up of all ₹10 coins and the amount made up of all ₹5 coins?

The cost price of a car is five times of the loss incurred on selling this car. What is the loss percentage?

What is the value of 5 + [12 + 3 × {5 + (6 × 3 - 5)}]?

The simple interest on a sum at 3% p.a. in 3 years is ₹315. What is the compound interest on the same sum at 4% p.a. in 2 years, interest compounded yearly?

In an office with 40 officers, the average salaries of class-A, class-B and class-C officers are ₹600, ₹750 and ₹1,000 a day, respectively. The numbers of class-A, class-B and class-C officers in the office are in the ratio 5 ∶ 4 ∶ 1, respectively. Find the monthly average salary (in ₹) of an officer, all the 40 of them taken together. [Assume the number of days in a month to be 30.]

The volume of a cuboid is 3300 cm³. The sum of the length and the breadth of the cuboid is 37 cm. If the difference between the length and the breadth of the cuboid is 13 cm, then what is the height of the cuboid?

Find the height of a right pyramid if its base is a square of side 80 cm and the volume of the pyramid is 16000 cm³.

A and B currently have an age ratio of 7 ∶ 3. After 7 years this age ratio will become 2 ∶ 1. After how many years from now will the age ratio between the ages of A and B become 3 ∶ 2?

P, Q and R can complete a task together in 15 days. P and R can complete the task together in 40 days. In how many days can Q complete the task alone?

If P = 2³ × 5⁸ and Q = 3⁵ × 7³, then what is the least common multiple of P and Q?

Study the given pie-chart and answer the question that follows.

The following pie chart shows the sectors representing the shares of the number of matches played by a team in each of eight consecutive years in terms of the central angles (in degrees) with respect to the total number of matches played by the team in all the eight years taken together.

The total number of matches played by the team in the years Y2 and Y8 taken together is approximately what percentage of the total number of matches played by the team in all the eight years taken together?

The population of a village decreases every year at the rate of 3%. If the present population is 28227, what was the population of the village two years ago?

The price of kerosene is ₹48 per litre and the price of spirit is ₹30 per litre. In what ratio should the kerosene and spirit be mixed so that the profit after selling the mixture at ₹60 per litre will be 50%?

Pinky can swim 27 km downstream or 15 km upstream in 3 hours. What is the velocity of the current?