Quantitative Aptitude PYQs

Study the given table (pictograph) and answer the question that follows.

The table (pictograph) shows the number of scouts in a school.

Class/Number of Scouts	= 15 scouts
IV
V
VI
VII
VIII

What is the total number of scouts in classes VI to VIII?

A sum of money at compound interest doubles itself in 4 years. In how many years does the sum become 8 times of itself at the same rate of interest?

Two numbers are in the ratio of 3 : 7. If 11 is subtracted from each, the ratio between the numbers becomes 7 : 20. Find the smaller number.

Study the given graph and answer that question that follows.

The following bar graph shows the strength of employees (in lakhs) in a company during five different years.

What was the percentage increase in employees in 2022 over 2019?

A train covers 60 km at a speed of 80 km/h, 100 km at a speed of 90 km/h, and another 140 km at a speed of 120 km/h. Find the average speed for the complete journey. (Round to the nearest integer.)

In an election, 12% of the voters in the voter list did not cast their votes, whereas 84 voters cast their ballot papers blank. There were only two candidates: Ramagya and Shravan. The winner, Ramagya, was supported by 54% of all the voters in the list. He got 1456 more votes than his rival, Shravan. Find the total number of voters in the list.

Refer the below data and answer the following question:

If the company has issued 8 lakh shares between its 6 partners and if Varma offers to sell 10000 of his shares to Pandey, then how many shares will Pandey have?

Find the value of 

[18 - 3 × {3 - 3 × (3 ÷ \(\frac{1}{3}\) - 3) + 3 ÷ \(\frac{1}{3}\) + 3} - 4 × 2]

If sec 6A = cosec (A – 29º), where 2A is an acute angle, then the measure of ∠A = ___º.

The percentage distribution of the number of tires of different brands produced in a year by a certain factory is shown in the given pie chart. The total number of tires sold is 1350.

What is the difference between the average number of Avon and Firestone tires sold together and the average number of Good year and Dunlop tires sold together?

The value of \(1-\frac{7}{1-\frac{1}{1+\frac{7}{1-7}}}\) is:

If L is the mid-point of the side YZ of ΔXYZ, and the area of ΔXYL is 13 cm², then the area (in cm²) of ΔXYZ is _____.

Based on the following table which shows production of the number of scooters by a company during the first half of 1992.

In which month, did the company produce an equal number of all types of scooters?

In an election, the winner was supported by 46% of all the voters in the list, and he got 410 votes more than his only rival. 10% of the voters on the voters’ list did not cast their votes, and 60 voters cast their ballot papers blank. How many voters were on the list?  

The table represents marks obtained by students A, B, C, D and E in five subjects in an examination. The maximum marks for each subject are 100.

In how many subjects have the students scored 100% marks?

Find the value of \(\frac{12+3 \frac{2}{3} \div\left[1 \frac{3}{4} \div\left{5 \frac{1}{4} \times\left(3 \frac{3}{5} \div 4 \frac{1}{2}\right)\right}\right]}{1 \frac{1}{3} \times 5 \frac{1}{5}}\).

Aarav owns a watch worth Rs. 10,000. He sells it to Bhavin at a profit of 15%. After some days, Bhavin sells it back to Aarav at 15% loss. Find the percentage profit or loss faced by Aarav.  

What is the length of the arc of a circle whose radius is 35 cm and whose arc subtends an angle of 72° at the centre of the circle? 

If α + β + γ = 0, then \( \frac{3 \beta^2+\alpha^2+\gamma^2}{2 \beta^2-\alpha \gamma}\) = ?

Simplify the following expression:

25 × 25 + 9 × 9 + 6 × 6 + 2 × 25 × 9 + 2 × 9 × 6 + 2 × 25 × 6