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?