Quantitative Aptitude PYQs

A vessel contains milk and water, and the quantity of milk is 85% in the vessel. If 20 liters of the mixture are taken out and 30 liters of water are added to the vessel, then the quantity of milk becomes 65%. Find the initial quantity of vessel (in liters).

The ratio of the average weight of A and B to A and C is 4:5, respectively. The weight of C is 40 kg, and the weight of A and B is in the ratio of 7:5. Find the average weight of A, B, and C (in kg).

A boat goes X to Y in downstream and come back Y to X upstream in total 5 hours. If the speed of the current is 4 km/hr, then find the speed of the boat in still water (in km/hr).

The ratio of the present age of P to Q six years ago was 8:7. The present age of R is twice the present age of Q. If six years hence the ratio of the age of P to R is 11:23, then find the present age of R (in years).

The ratio of the volume of a cube to a sphere is 21:88, and the total surface area of the cube is 294 cm². Find the curved surface area of the sphere (in cm²).

He spends 30.1% of his monthly income on groceries, 20.1% of the remaining on rent, and 1/4^th of the remaining income on EMI. If he saved Rs 1260, then find the approximate monthly income of A (in Rs).

The speed of train A is 150% more than that of train B. The speed of train A is 90 km/hr, and it crossed a pole in 16 seconds. The ratio of the length of the trains A to B is 8:5; then find the time taken for train B to cross 150 meters long platform (in seconds).

The ratio of cost price to selling price of an article is 4:7, and the ratio of the marked price to selling price of the article is 36:35. If the markup price of the article is Rs 160, then find the profit (in Rs).

A man invested Rs (P+500) at 10% p.a. compound interest for two years, and he received interest of Rs 1785. If he invested Rs (P-1000) at the same rate for same period, then find the compound interest received by him (in Rs).

A and B started a business with investments of Rs 6000 and Rs 8000. After nine months, A withdrew half of his investment, and B added Rs X. If at the end of the year the profit-sharing ratio of A to B is 21:34, then find X.

20% of the non-fiction books sold by C at the rate of Rs.25 and rest sold at Rs 20. Find the revenue (in Rs) generated by C after selling all the non-fiction books.

Find the ratio of non- fiction books sold by C and fiction book sold by A together to total books sold by C and E together.

Find the average number of fiction books sold by A and E is what percentage of fiction books sold by D and A (Approx).

14.28% of total books sold by E are defective and out of that 20% are non-fiction books. Find the defective fiction books sold by E is how many more/less than total books sold by C.

If the ratio of total books sold by Z to total fictional book sold by A is 23:13. 30% of books sold by Z are fictional. Find the non-fiction book sold by Z.

In shop F, total number of bikes are 25% more than the cars in E and total number of vehicles are average number of vehicles in A and B. Find the cars in F is what percentage more/less than bikes in B.

Find the difference between average number of cars in A and B and average number of bikes in C and E.

The ratio of sold to unsold bikes in D is 3:1 and number of unsold bikes in D is 20% less than cars sold by B. Find the unsold cars in B.

The cars booked online in A is 60 and rest booked offline. 20% of bikes books online in A. find the difference between vehicles booked online and offline.

If defective cars in D is 1/8 of total bikes in A and non – defective bike in D is 1/2 of the non-defective cars in D. find the total defective vehicles in D.