Quantitative Aptitude PYQs

A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.

If 80% of A is 13 more than 90% of B, and the ratio of 40% of A to 60% of B is 10 : 9, then what is the value of A - B?

The following bar chart shows the runs given amd overs bowled by a bowler in 6 different matches.

\(Economy;rate = ;\frac{{Runs;given}}{{Overs;bowled}}\)

What will be the economy rate of the bowler for all the 6 matches taken together? [Give your answer correct to 2 decimal places.]

The difference of two numbers is 24 while the sum of those two numbers is 120. Which of the options below can be the ratio of those two numbers?

In a camp, there are tents of the same shape and size.

Each tent is cylindrical up to a height of 4 m and conical above it. The diameters of the bases of the cylinder and the cone are both 10.5 m and the slant height of the conical part is 10 m. If a total of 3861 m² canvas is used in making all the tents, then how many tents are there in the camp? [Use π = \(\frac{{22}}{7}\)]

The simple interest on a certain sum of money for 2 years at 7% per annum is double the compound interest on ₹1,000 for 2 years at 10% per annum, compounded annually. What is the sum placed on simple interest?

The price of kerosene increases by 10% every year. If the current price of kerosene is ₹50 per litre, then what will be the price of kerosene per litre after 2 years?

In an election between two candidates, the total number of votes polled were ‘y’. Out of these, 40% votes were invalid. The winning candidate got 60% of the valid votes, while the other candidate lost by 6000 votes. Find the value of ‘y’.

The volume of a cube is 512 cm². What is the length of each side of this cube?

Find the average of the numbers appearing on all 6 faces of a cubical die numbered 1 to 6.

A person covers a distance of 7.5 km at a speed of 25 m/sec. What is the time taken by the person to cover the mentioned distance?

The following pie chart shows the sectors representing the shares of the number of bottles sold by each of seven different shops in terms of the central angles (in degrees) with respect to the total number of bottles sold by all the seven shops taken together.

If the total number of bottles sold by all the 7 shops taken together is 1500, then what is the number of bottles sold by S4?

What is the value of 17 ÷ 34 + 2 × 12 ÷ 6 - 5 × 3 ÷ 6?

\(\frac{2}{5}\) of the marked price of an item is equal to \(\frac{4}{7}\) of its cost price. If a discount of 15% is given on its sale, then what is the approximate profit percentage earned?

A train crosses a stationary pole completely in 18 seconds and a bridge completely in 44 seconds. If the length of bridge is 650 metres, then what is the length of the train?

Vishal sells a bag at a profit of 40%. If Vishal's profit is Rs. 880, then what is the cost price of the bag?

A 900 metre long train crosses a 1200 metres long platform completely in 70 seconds. What is the speed of the train?

Rs. 12,000 is lent for one year at the rate of 15% per annum, the interest being compounded annually. If the compounding of the interest is done half-yearly, then how much more interest will be obtained at the end of the one-year period on the same initial sum?

A 480 m long train takes 16 seconds to pass a pole. How long will it take to pass a platform that is 900 m long?

If Rs. 1,000 is divided into three parts in the ratio 2 ∶ 3 ∶ 5, find the value of the smallest part.