Quantitative Aptitude

Quantitative Aptitude – Practice Questions

1. How many words can be formed from the letters of a word such that the vowels are never together?

2. $(\sqrt{3}-\frac{1}{\sqrt{3}})$ Simplify:

3. Two numbers are in a ratio of 5:11. If their HCF is 7, find the sum of the numbers.

4. Find the average of the first 5 multiples of 3.

5. 18 years ago, a father was three times as old as his son. Now, the father is only twice as old. Find the sum of their present ages.

6. How many 3-digit numbers can be formed using 0, 1, 3, 5, and 7 (digits can be repeated)?

7. If $5\times$ ${}^n{p}_3$ = $4\times$ ${}^{n+1}{p}_3$, then find the value of n.

8. If $2^x\times 8^{1/5}=2^{1/5}$, then find the value of x.

9. In an election, a candidate who receives 84% of the votes wins by a majority of 476 votes. Find the total number of votes polled.

10. A person incurs a 5% loss by selling a watch for ₹1140. At what price should it be sold to earn a 5% profit?

11. Two numbers are in the ratio 1:2. If 7 is added to both, the ratio becomes 3:5. Find the greater number.

12. Reena and Shaloo are partners in a business. Reena invests ₹35,000 for 8 months, and Shaloo invests ₹42,000 for 10 months. Out of a profit of ₹31,570, find Reena’s share.

13. If 18 binders can bind 900 books in 10 days, how many binders are required to bind 660 books in 12 days?

14. A and B together can complete a piece of work in 4 days. If A alone can do it in 12 days, in how many days can B alone complete the work?

15. Pipe A can fill a tank in 5 hours, pipe B in 10 hours, and pipe C in 30 hours. If all pipes are opened together, how long will it take to fill the tank?

16. Solve: $2\frac{3}{4}+2\frac{2}{3}+1\frac{1}{12}$

17. A person travels equal distances at speeds of 3 km/h, 4 km/h, and 5 km/h, taking a total time of 47 minutes. Find the total distance in kilometers.

18. A goods train runs at a speed of 72 km/h and crosses a 250-meter-long platform in 22 seconds. Find the length of the train.

19. A boat covers 60 km downstream in 2 hours and the same distance upstream in 4 hours. Find the speed of the boat in still water.

20. At what ratio must rice costing ₹9.30/kg be mixed with rice costing ₹10.80/kg to get a mixture worth ₹10/kg?

21. At what rate (per annum) will a sum of money double in 60 years under simple interest?

22. The difference between compound interest and simple interest on a certain sum at 10% per annum for 2 years is ₹361. Find the sum.

23. Solve: ${\log }_{343}$

24. The length of a room is 5.5 meters and the width is 3.75 meters. Find the cost of paving the floor with slabs at the rate of ₹800 per square meter.

25. The surface area of a cylinder is 1734 cm². Find its volume.

26. Find the angle between the hands of a clock at 4:20 PM.

27. One card is drawn at random from a pack of 52 cards. What is the probability that it is a face card?

28. Find the LCM of 25, 30, 35, and 40.

29. Find the HCF of $\frac{2}{3},\frac{8}{9},\frac{64}{81},\frac{10}{27}$.

30. Simplify: $\frac{4.2\times 4.2-1.9\times 1.9}{2.3\times 6.1}$

31. If $a+b=5,3a+2b=20$ , then $3a+b$ will be.

32. Find the value of k for which the equation has equal roots.

33. In a two-digit number, the digit in the unit's place is four times the digit in the tens place. If the sum of the digits is 10, what is the number?

Explore These Concepts

• Profit and Loss

• Logarithm

• Data Sufficiency

• Distance and Time