Quantitative Aptitude PYQs

Study the given data and answer the question that follows.

The data shows the number of candidates (in thousand) appearing for Civil Service (CS) and Engineering Service (ES) Examinations in the years 2020, 2021, 2022 in USA.

What is total number of graduates who appeared for both CS and ES together in the year 2022?

If tan A = \(\frac{4}{3}\), 0 \(\leq\) A \(\leq\) 90°, then find the value of sin A.

The given pie-chart shows the distribution of the marks scored by Ram in five different subjects (in percentage).

What is the ratio of the central angle of Maths to the central angle of Science?

The areas of the two triangles are in the ratio 4 ∶ 3 and their heights are in the ratio 6 ∶ 5. Find the ratio of their bases.

The product of two numbers is 726 and their HCF is 11, then their LCM is:  

The following table represents the population of four different areas and the percentage of males, females, and children among them.

What is the total number of children in areas P and Q together?

The following data gives a year-wise outlay (in lakhs of rupees) in a certain 4-year plan (2018-2022) of a state.

What was the percentage increase during 2020-2021 over 2018-2019 in Education outlay?

Jonathan had borrowed a sum of money 3 years ago at 10% interest per annum compounded annually for a 5-year period, with the amount to be paid at the end of the period being Rs. 1,61,051. However, there is no pre-payment penalty and Jonathan has received some bonus payment now, with which he has decided to clear his debt. How much does Jonathan have to pay now to clear his debt?

Study the given graph carefully and answer the question that follows.

In which year was there maximum percentage increase in the export of apples to that of the previous years?

Let the speed of the boat in still water be 17 km/h and let the speed of the stream be 5 km/h. What is the time taken by the boat to go 110 km downstream?  

PQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. Measure of \(\frac{1}{2}\) ∠PSQ IS:

Study the given bar-graph and answer the question that follows.

The bar-graph shows the higher secondary students of a school for the years 2008, 2009 and 2010.

The percentage of students who passed in the second division in the year 2010 was:

The first shirt is sold at twice the selling price of the second shirt. The first shirt is sold at 8% profit and the second shirt is sold at a 3% loss. What is the overall percentage profit on the shirts (Rounded off to two decimal place)?

Two numbers are in the ratio 5 ∶ 3 and the difference between these two numbers is 34. Find the smaller of the two numbers.  

P, Q and R, when working individually, can complete a job in, respectively, 36 days, 48 days and 144 days. P, Q and R start working together. P leaves the job 12 days before completion and Q leaves the job 8 days before completion. R works from the beginning till the end of the job. Determine the total number of days taken to complete the job.  

Evaluate \(\frac{0.04}{0.05}\) of \(\frac{\left(3 \frac{1}{3}-2 \frac{1}{2}\right) \div \frac{1}{2} \text { of } 1 \frac{1}{4}}{\frac{1}{3}+\frac{1}{5} \text { of } \frac{1}{9}}\)

A man spends 72% of his salary and saves Rs. 5,740 per month. What is 10% of his annual salary (in Rs.)?

If 42, 36 and 35 are the first three terms of a proportion, then the fourth term is: 

The population of a city is 3,52,314. It increases annually at the rate of 15% per annum. What was its population 2 years ago?  

If 3 goats or 5 sheep can graze a field in 54 days, then in how many days can 6 goats and 8 sheep graze the same field?