Quantitative Aptitude PYQs

Direction (18 – 21): Read the information and answer the following question.
A and B are selling some items (mobile and laptops). The ratio of items sold by A and B is 5:3. The mobile sold by A is 5 times the laptops sold by B. The difference between profit on selling total items by A and B is 1200. Profit on each item is Rs. 60. The mobile sold by B 120% of laptops sold by A.

The cost price of all the mobile sold by A is Rs 1200 and the selling price of each mobile sold by A is Rs p. If Rs 2p is the selling price of a laptop sold by B, then find the cost price of the laptop (in Rs).

The curved surface area of a cylinder is 836 sq. cm, and the height of the cylinder is 19 cm. The radius of the cylinder is 3 cm less than the side of a square. Find the area of the square (in sq. cm).

A vessel contains 360 liters of a mixture of milk and water in the ratio of 5:3, respectively. If X liters of milk and 35 liters of water are added to the mixture, then the ratio of milk to water in the resultant mixture becomes 30:17, respectively. Find X.

A and B can complete a work in 15 days and 24 days, respectively. A and B started the work, and after 4 days they left, and C joined the work. If C completes the remaining work in 17 days, then in how many days can C alone complete 50% of the work (in days)?

A and B started a business with investments of Rs 2400 and Rs X, respectively. After 9 months, A added Rs 600, and B withdrew Rs 600. If at the end of the year the profit share of A to B is 17:23, respectively, then find X.

The 600-meter-long train A can cross the 300-meter-long bridge in 18 seconds. The ratio of the speed of train A to train B is 2:1. If the length of train B is 25% less than that of train A, then find the time taken by train B to cross the bridge (in seconds).

The cost price of an article is Rs 500, and the shopkeeper marked the article X% above its cost price. If he allowed a 20% discount and earned a 4% profit, then find X.

A person invests Rs X at 6% simple interest for 5 years and receives Rs 1500 as interest. If he invests Rs 3X at 10% compound interest for 2 years, find the amount he will receive (in Rs).

The present age of X is 50% more than that of Y, and the present age of Z is the average of the present ages of X and Y. If the difference between the ages of Z after five years and Y three years ago is 10 years, then find the age of X after six years.

Out of his monthly income, A spent 50% on rent, 20% on the remaining on food, 10% on travelling, and saved the remaining amount of Rs 10800. If the monthly income of B is 25% less than that of A, find 60% of the monthly income of B (in Rs).

A and B started a business in the ratio of 7 : 9 respectively and after six months, C joined the business with two times of the capital of A. After one year, the total profit of the business is Rs. 92000. Find the sum of profit of B and C (in Rs.)?

The area of a rectangle is 216 meters square and the ratio of length to breadth of the rectangle is 3 : 2. If diameter of a circle is [Formula above] th of the breadth of the rectangle, then find the difference between area of the rectangle and circle (in meters square)?

Given a > b and a > 4, while b < 5.
Quantity I- 1/a + 1/b = 0
Quantity II- (1/b - 1/a)² = 0

If x² – 5x + 6 = 0 and 2y² – 9y + 9 = 0, then
Quantity I- Product of largest root of both equations
Quantity II- [Formula above]

14, 16, 12, 18, 10, 22, 8

204800, 6400, 400, 50, 12.5, 6.5, 6.25

19, 23, 32, 48, 73, 109, 154

Vessel A contains mixture of milk and water in the ratio of 3 : 1 respectively. 20 liters of mixture taken out from vessel A and added in vessel B which contains x liters of milk and 30 liters of water. If the ratio of milk to water in the resultant mixture in vessel B is 11 : 7, then find the value of x?

Sneha marks up an article 40% above the cost price and allows a discount of 10% on marked price. If Sneha made a profit of Rs. 364, then find the difference between both profits when he sold the same article at 25% profit?

The length of train A is 300 meters and it cross a 500 meters long platform in 30 seconds. If length of train B is two times of the length of train A and speed of train B is 198 km/hr, then find the time taken by train B to cross the platform (in seconds)?