Quantitative Aptitude PYQs

The average of U, V and W is 48 and that of V and W is 48. What is the value of U?

A car travels the first half of a journey at a speed of 80 km/h and the next half of the journey at 100 km/h. What is the average speed of the car? [Give your answer correct to 2 places of decimal.]

A can do a piece of work alone in 12 days. B is 20% more efficient than A, and C is 25% more efficient than B. In how many days can B and C together complete the work?

If M = 8x and N = 6x, then N is what percentage less than M?

How much amount will be received on a principal of Rs. 10,000 at the rate of 12% per annum, compounded annually for 2 years?

The following table shows the total number of votes polled and the percentage of invalid votes in a polling center in a village during the last four Assembly elections.

What is the sum of the number of valid votes polled in 2010 and 2015 at this center?

The marked price of an article is kept at 25% above the cost price. If the article is sold at a discount of 8%, find the ratio of its selling price to its cost price.

In a housing society, the ratio of two-wheelers to four-wheelers is 11 ∶ 9. Among the four-wheelers, one-fourth are petrol vehicles and the remaining 81 are diesel vehicles. How many two-wheelers are there in this housing society?

By selling an article for Rs. 450, Riyan incurred a loss of 10%. At what price should he sell it to make a profit of 12%?

The speed of a boat in still water is 16 km/h. the time taken by the boat to cover a distance of 18 km upstream is equal to the time taken by the boat to travel 30 Km downstream. What is the speed of the stream?

The current average age of a family of five members is 24. If the present age of the youngest member in the family is 8 years, what was the average age of the family members just before the birth of this youngest member?

The following bar chart shows the number of matches played by a team in 6 consecutive years.

The number of matches played in Y7 will be equal to the average number of matches played in Y3 and Y4. The number of matches played in Y8 will be 20% more than the number of matches played in Y7. How many matches will be played by the team in Y8?

The following pie chart shows the number of cups sold by each of 7 different shops during a given period of time as percentages of the total number of cups sold by these 7 shops taken together during the above-mentioned time period.

If the number of cups sold by S6 during this period is 165, then how many cups in total are sold during this period by all these 7 shops taken together?

At simple interest, a sum of ₹708 amounts to ₹944 in 4 years. If the rate of interest is increased by 5%, to what amount will Rs 675 grow in 4 years?

The length of each side of a square is twice the radius of a circle. If the radius of the circle is 7 cm, then what is the difference between the areas of the square and the circle? [Use \(π=\frac{22}{7}\)]

A solution of 45% alcohol is mixed with a solution of 60% alcohol in the ratio of 2 ∶ 3. In what ratio should the resultant solution be mixed with a 72% alcohol solution to get a 66% alcohol solution?

The value of a stone is proportional to the square of its weight. A stone worth Rs. 1,20,000 is broken into two pieces in the ratio of 2 ∶ 3. What is the total price of the two small stones?

The side of a square is increased by 25%. What is the percentage increase in its area?

Puneet sold an article for Rs. 1,750 at a loss of 50%. If Puneet sells the article at loss of 30%, then what will be the selling price?

The traffic lights at 3 different road crossings change after every 48 sec, 72 sec and 108 sec, respectively. If they all change simultaneously at 8∶20 a.m., then at what time will they next change again simultaneously?