Quantitative Aptitude PYQs

A and B are equally efficient, and each can individually complete a piece of work in 36 days, if none takes any holiday. A and B started working together on this piece of work, but A took a day off after every five days of work, while B took a day off after every seven days of work. If the duo had started work on 1 July 2021, on which date was the work completed?  

Study the given table and answer the question that follows.

The average number of children per family is:

A man covers a certain distance by bike. If he covers 25% of the distance at the speed of 25 km/h, 50% of the distance at the speed of 50 km/h and the remaining distance at the speed of 12.5 km/h, find his average speed over the whole journey. 

Ayush spends 25% of an amount of money on an insurance policy, 26% on food, 23% on children’s education and 19% on recreation. He deposits the remaining amount of Rs. 26,600 in the bank. What is the total amount (in Rs. ) that he spends on food and recreation together?  

Study the given pie-chart carefully and answer the question that follows. Degree wise Break-up of Expenditure of a Family in a Month

What is the amount spent by the family on housing?

A hollow cylindrical tube made of plastic is 3 cm thick. If the external diameter is 20 cm and length of the tube is 49 cm, find the volume of the plastic.  

The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480,then find their HCF and LCM, respectively.  

The radius of a metallic spherical ball is 3 cm. If the metallic ball is melted and recast into x number of hemispheres of radius equal to half the radius of the metallic spherical ball, then find the value of x. 

The ratio of monthly income and expenditure of a man is 7 ∶ 3. If his expenditure is Rs. 5,400, find his monthly income.

An article is sold at a discount of 25% and an additional discount of 28% is allowed on cash payment. If Ramendra purchased the article by paying Rs. 10,800 in cash, then what was the marked price of the article?

The least number of five digits which is exactly divisible by 9, 12, 15, 25 and 27 is: 

Ankita sold three toys. The first toy was sold for Rs. 1,500 at a profit of 25%; the second toy was sold for Rs. 2,800 at a loss of 50% and the third toy was sold for Rs. 3,500 at a profit of 25%. Find her total profit or loss percentage.  

Study the given pie-chart and answer the question that follows.

The pie-chart shows the expenditure of a family on different items and their savings throughout the year 2021.

If the total income for the year was Rs. 1,00,000, then the difference in the expenses (in Rs.) between housing and transport was:

Find the HCF of 125, 250 and 750.  

If \(\frac{2 \sin A-\cos A}{\sin A+\cos A}=1\), then find the value of cot A .

In a 1200 m race, Rakesh reaches the final point in 36 seconds and Rajesh reaches in 40 sec. By how much distance does Rakesh beat Rajesh?  

The value of 2tan²45° + cos²30° - sin²60° is:

The given graph shows the income and expenditure of a family. Study the graph and answer the question that follows.

The expenditure of the family increased by _____ from 2017 to 2018.

Some ice pieces, spherical in shape, of diameter 6 cm are dropped in a cylindrical container containing some juice and are fully submerged. If the diameter of the container is 18 cm and level of juice rises by 40 cm, then how many ice pieces are dropped in the container?  

In ∆ABC with sides 8 cm, 9 cm and 12 cm, the angle bisector of the largest angle divides the opposite sides into two segments. What is the length of the shorter segment?