Quantitative Aptitude PYQs

The following pie chart shows the number of students who failed in different subjects in an examination. Examine the chart and answer the following question. The total number of students who have failed is 350.

The number of students failed in mathematics is less than the number of students failed in all other subjects by:

Which is the smallest natural number that is exactly divisible by each of 96, 108 and 144?

If sec A - tan A = p, then find the value of sec A.

Akshita and Raina are typing a book, but have only one laptop to work upon. They decided that they will work on alternate basis such that Akshita works for the first day, Raina works for the second day, Akshita for the third day and so on. Akshita alone can finish the typing work in 16 days, while Raina will take 24 days if she works alone on the entire book. How many days will they take to finish the typing work if they work on alternate basis?

The number of hours spent by a student on different activities as shown in the following pie chart:

The central angle corresponding to the sleeping time is what percentage of the whole central angle?

The heights of two cones are in the ratio 7 ∶ 5 and their diameters are in the ratio 10 ∶ 21. What is the ratio of their volumes? (Where π = \(\frac{22}{7}\))

The LCM and HCF of two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.

The following table shows the percentage population of four towns below poverty line and the proportion of males and females:

If the total population of town C is 8000 then what is the number of females above the poverty line in state C ?

In a circle centred at O, PQ is a tangent at P. Furthermore, AB is the chord of the circle and is extended to Q. If PQ = 12 cm and QB = 8 cm, then the length of AB is equal to:

The LCM of two numbers is 660 and their HCF is 5. If one of the numbers is 55, find the other.

7 sin² A + 3 cos² A = 4, then find cot A:

Simplify the given expression.

\(\frac{(3.254 \times 3.254 \times 3.254)-(0.746 \times 0.746 \times 0.746)}{(3.254 \times 3.254)+(0.746 \times 0.746)+(3.254 \times 0.746)}\)

A person has three iron bars whose lengths are 20, 30 and 40 metres, respectively. He wants to cut pieces of the same length from each of the three bars. What is the least number of total pieces if he cuts without any wastage?

If the diameter of a sphere is reduced to its half, then the volume would be:

Find the value of \(\sqrt{\frac{1-\tan A}{1+\tan A}}\).

Tom can do a piece of work in 7 days, whereas Jay can do the same work in 14 days. How long will they take to finish the work if both work together?

The time taken to travel the same distance by three cars is in the ratio of 12 ∶ 15 ∶ 10. What is the ratio of the speeds of the three cars?  

The price of a stock increased by 30% in the first year and decreased by 20% in the second year. If an investor bought 100 shares of the stock for Rs. 1,000, then what is the final value of the investment after 2 years?

Study the given table and answer the question that follows.

The table shows the number of people who responded to a survey about their favourite style of music.

What percentage of the total sample indicated that Rock is their favourite style of music (rounded off to 2 decimal places)?

In an office, 75 employees can finish a project in 60 days. After few days, 15 employees left the job and the project was completed in 65 days. After how many days did the 15 employees leave?