Mathematics (Number System, Algebra, Geometry, Trigonometry, Statistics)

1. 1. What is the smallest prime number?

2. 2. The HCF of 24 and 36 is:

3. 3. If a number is divisible by both 3 and 5, it must also be divisible by:

4. 4. The sum of the first 50 natural numbers is:

5. 5. What is the value of (0.01)²?

6. 6. If 2x+5=17, then x=?

7. 7. The factors of x²−9 are:

8. 8. If a/b=3/4 and b/c=2/5, then a/c=?

9. 9. The solution to 3(x−4)=21 is:

10. 10. If 5^x=125, then x=?

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

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

13. 13. The area of a circle with radius 7 cm is: (Use π=22/7)

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

15. 15. The sum of all interior angles of a hexagon is:

16. 16. The value of sin²30°+cos²30° is:

17. 17. If tanθ=3/4, then sinθ=?

18. 18. The value of sin60°cos30°+cos60°sin30° is:

19. 19. If secθ=2, then cosθ=?

20. 20. The value of tan45° is:

21. 21. The mean of the numbers 5, 8, 12, 6, 9, 10 is:

22. 22. The median of the numbers 5, 8, 12, 6, 9, 10 is:

23. 23. The mode of the numbers 3, 5, 7, 5, 2, 5, 8 is:

24. 24. The range of the numbers 10, 15, 20, 25, 30 is:

25. 25. If the standard deviation of a dataset is 0, it means:

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

27. 27. The next term in the sequence 2, 6, 12, 20, 30, __ is:

28. 28. The value of log₁₀1000−log₁₀10 is:

29. 29. The probability of getting a prime number when a die is rolled is:

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