Quantitative Aptitude PYQs

What should come in place of the question mark (?) in the following mathematical statement? 

8² + 16² - 19² = ?³ - 257

The radius of a sphere and that of the base of a cylinder are equal. The ratio of the radius of the base of the cylinder and the height of the cylinder is 3 ∶ 4. What is the ratio of the volume of the sphere to that of the cylinder? 

Sonu can do a work in 15 days, Monu can do it in 10 days, and Tipu can do it in 12 days. In how many days can Sonu, Monu and Tipu together complete the work? 

A number, when subtracted from 3 times the second number, gives a result equal to \(3 \over 4\) of the first number. What is the ratio of the first number to the second number?

In a 100-m race, A beats B by 20 m and B beats C by 5 m. In the same race, A beats C by: 

₹4,500 is divided among four friends in the ratio of \(\frac{1}{6} : \frac{1}{4} : \frac{1}{3} : \frac{1}{2} \). What is the amount received by the person who got the smallest share?

A hemispherical bowl of radius 30 cm is filled with water by using a cylindrical glass. If the water from the cylindrical glass is poured 72 times to fill the bowl completely and the height of the glass is 10 cm, then what is the base radius of the cylindrical glass?

Reema went to a shopping mall to buy a gift. She saw a shop giving successive discounts of 50% and 30%, and from there selected a gift whose MRP was ₹1,700. How much did Reema have to pay to buy the gift?

A batsman scored 120 runs, which included 4 sixes and 6 fours. What percentage of his total score did he make by running between the wickets (runs that were scored only by running between the wickets and not by hitting fours and sixes)?

Find the smallest number which when divided by 19 and 23 gives remainders of 13 and 17, respectively.

A solid copper sphere of radius 6 cm is melted and redrawn into a wire, whose radius of cross-section is 8 cm. Find the length of the wire.

The average age of a husband and his wife 3 years ago was 39 years. The average age of the husband, wife and their child 2 years hence will be 34 years. Find the present age of the child.

The selling price of an article is four times of its cost price. If the selling price is reduced by ₹300, then the profit becomes 250%. What is the cost price of the article?

The following pie chart gives the measures of the central angles of the sectors that reflect the number of questions in each of 8 different books with respect to the total number of questions in these 8 books taken together.

If the number of questions in the books B3 and B6 taken together is 165, then what is the total number of questions in the 8 books taken together?

A beats B by 10 m in a 100 m race. B beats C by 10 m in a 100 m race. By what distance will A beat C in a 100 m race?

The marks obtained by 5 children in a test are as follows: 12, 14, 8, 10 and 16. What is the average marks obtained by these 5 children?

In a mixture, water and milk are in the ratio of 2 : 3. What is the amount of water that is to be added to 20 kg of this mixture to make the ratio of water and milk in the new mixture 1 : 1?

If a sum triples in 4 years at simple interest, find the time that it would take to become 5 times itself at the same rate of interest.

The perimeter of a square is 36 cm. What is the length of each side of this square?

Train P crosses train Q completely in 45 seconds, while running in opposite directions. The lengths of train P and train Q are 1200 metres and 1500 metres, respectively. The speed of train Q is 144 km/h. In how much time can train P cross an 1800-metre long platform?