Mathematics (Basic Arithmetic, Algebra, Geometry)

1. What is the value of 125 ÷ 5 + 12 × 3 − 10?

2. If 3/5 of a number is 45, what is the number?

3. The HCF of 36 and 48 is:

4. A train covers 360 km in 6 hours. What is its speed in m/s?

5. If 12 workers can complete a job in 8 days, how many workers are needed to finish it in 6 days?

6. The average of 15, 20, 25, and 30 is:

7. A shopkeeper sells an item for ₹500, making a 25% profit. What was the cost price?

8. What is 12.5% of 400?

9. The sum of two numbers is 50, and their difference is 10. What is the larger number?

10. Simplify: (2/3) × (3/2)

11. If 355/3 of a number is 45, what is the number?

12. The HCF of 36 and 48 is:

13. A train covers 360 km in 6 hours. What is its speed in m/s?

14. If 12 workers can complete a job in 8 days, how many workers are needed to finish it in 6 days?

15. The average of 15, 20, 25, and 30 is:

16. A shopkeeper sells an item for ₹500, making a 25% profit. What was the cost price?

17. What is 12.5% of 400?

18. The sum of two numbers is 50, and their difference is 10. What is the larger number?

19. Simplify: 2/3 × 3/2

20. If 3x + 7 = 22, then x=?

21. The solution of 2(x−3) = 10 is:

22. If x/4 = 9, then x=?

23. The product of (x+3)(x−2) is:

24. If 2y−5 = 3y+2, then y=?

25. The angles of a triangle are in the ratio 2:3:5. The largest angle is:

26. The perimeter of a rectangle with length 12 cm and breadth 8 cm is:

27. The area of a circle with radius 7 cm is:

28. If the diagonals of a rhombus are 10 cm and 24 cm, its area is:

29. The volume of a cube with side 5 cm is:

30. A man buys a toy for ₹120 and sells it for ₹150. His profit percentage is?

31. The next term in the sequence 2, 6, 12, 20, 30, __ is?

32. The compound interest on ₹1000 at 10% p.a. for 2 years is?

33. The smallest prime number is?

34. The sum of the digits of the smallest 4-digit number divisible by 3 is?

35. The median of the numbers 5, 8, 12, 6, 9, 10 is?

36. The sum of the squares of two consecutive even numbers is 340. The numbers are?

37. A train crosses a pole in 15 seconds and a 200 m long platform in 25 seconds. The length of the train is?

38. The difference between SI and CI on ₹8000 for 2 years at 5% p.a. is?

39. The value of log₁₀ 1000 – log₁₀ 10 is?

40. The probability of getting a prime number when a die is rolled is?

41. The area of the largest circle that can be drawn inside a square of side 14 cm is?

42. The sum of the first 20 natural numbers is?

43. A ladder 10 m long leans against a wall. If the foot of the ladder is 6 m from the wall, how high does it reach?

44. The sum of all interior angles of a hexagon is?

45. If 2x = 16, then 3x =?

46. The circumference of a wheel with diameter 14 cm is?

47. The sum of two numbers is 50, and their difference is 10. What is the larger number?