TNTET Paper 2 - HCF LCM exponents squares and square roots. Online Test (MCQ Quiz)

1. What is the highest common factor (HCF) of 12 and 18?

A) 2 B) 3 C) 4 D) 6

2. What is the least common multiple (LCM) of 8 and 12?

A) 16 B) 24 C) 32 D) 48

3. Express 5 x 5 x 5 x 5 in exponential form.

A) 5^3 B) 5^4 C) 4^5 D) 5 x 4

4. What is the value of 2^5?

A) 10 B) 16 C) 25 D) 32

5. What is the square root of 144?

A) 10 B) 11 C) 12 D) 13

6. Which number is the smallest perfect square greater than 50?

A) 49 B) 64 C) 81 D) 100

7. Find the HCF of 24, 36, and 60.

A) 4 B) 6 C) 12 D) 24

8. Find the LCM of 6, 8, and 10.

A) 60 B) 80 C) 120 D) 240

9. Simplify (3^4) / (3^2).

A) 3^2 B) 3^6 C) 3^8 D) 9

10. What is the value of 10^0?

A) 0 B) 1 C) 10 D) Undefined

11. What is the square of 15?

A) 20 B) 25 C) 215 D) 225

12. The square root of 0.81 is:

A) 0.09 B) 0.9 C) 9 D) 8.1

13. If the product of two numbers is 120 and their HCF is 10, what is their LCM?

A) 10 B) 12 C) 120 D) 1200

14. What is the smallest number that must be added to 250 to make it a perfect square?

A) 1 B) 2 C) 5 D) 10

15. Which of the following is a perfect square?

A) 121 B) 123 C) 125 D) 128

16. Find the HCF of 45 and 75 using prime factorization.

A) 3 B) 5 C) 15 D) 25

17. Find the LCM of 15 and 20 using prime factorization.

A) 30 B) 45 C) 60 D) 75

18. What is the value of 7^1 * 7^2?

A) 7^1 B) 7^2 C) 7^3 D) 49^3

19. Simplify 6^4 / 6^3.

A) 1 B) 6 C) 6^7 D) 36

20. What is the square root of 1.21?

A) 0.11 B) 1.1 C) 11 D) 12.1

21. The number of digits in the square root of 14400 is:

A) 2 B) 3 C) 4 D) 5

22. What is the smallest number by which 200 must be multiplied to get a perfect square?

A) 1 B) 2 C) 3 D) 5

23. The HCF of two prime numbers is always:

A) 1 B) The smaller prime number C) The larger prime number D) Their product

24. What is the LCM of any two consecutive integers?

A) Their sum B) Their difference C) Their product D) 1

25. What is the value of (4^3)^2?

A) 4^5 B) 4^6 C) 4^9 D) 12^2

26. If x^a * x^b = x^(a+b), then x^5 * x^3 equals:

A) x^2 B) x^8 C) x^15 D) 2^8

27. What is the square root of 576?

A) 22 B) 23 C) 24 D) 25

28. Which of the following numbers does NOT have a square root that is a whole number?

A) 400 B) 441 C) 484 D) 500

29. The HCF of 18 and 42 is:

A) 2 B) 3 C) 6 D) 9

30. The LCM of 12 and 18 is:

A) 6 B) 18 C) 24 D) 36

31. Express 1/8 as a power of 2.

A) 2^3 B) 2^-3 C) 8^-1 D) 1/2^8

32. What is the value of 3^2 * 3^0?

A) 0 B) 3 C) 9 D) 27

33. What is the square of 0.5?

A) 0.025 B) 0.25 C) 2.5 D) 5

34. What is the square root of 12.25?

A) 3.0 B) 3.5 C) 4.0 D) 4.5

35. Find the largest number that divides 62 and 132 without leaving a remainder.

A) 2 B) 4 C) 6 D) 11

36. What is the smallest number that divides 48, 60, and 72 exactly?

A) 12 B) 24 C) 120 D) 240

37. If 3^x = 81, then x is equal to:

A) 2 B) 3 C) 4 D) 9

38. What is the value of 100^0.5?

A) 1 B) 10 C) 50 D) 100

39. What is the square root of 1/16?

A) 1/2 B) 1/4 C) 1/8 D) 4

40. What is the smallest perfect square divisible by 4, 6, and 9?

A) 36 B) 72 C) 108 D) 144

41. The HCF of 98 and 126 is:

A) 2 B) 7 C) 14 D) 49

42. The LCM of 14 and 21 is:

A) 7 B) 21 C) 28 D) 42

43. What is the value of 5^-2?

A) -10 B) 1/10 C) 1/25 D) 25

44. Simplify (a^m * a^n) / a^p.

A) a^(m-n-p) B) a^(m+n-p) C) a^(mnp) D) a^(m+n)/a^p

45. Find the square root of 1024.

A) 30 B) 31 C) 32 D) 33

46. What is the square root of 0.0004?

A) 0.002 B) 0.02 C) 0.2 D) 2

47. The sum of the squares of the first three odd natural numbers is:

A) 14 B) 35 C) 50 D) 62

48. If the LCM of two numbers is 50 and their HCF is 5, and one of the numbers is 10, what is the other number?

A) 5 B) 10 C) 25 D) 50

49. What is the HCF of 13 and 17?

A) 1 B) 13 C) 17 D) 221

50. What is the LCM of 5, 7, and 10?

A) 35 B) 70 C) 105 D) 140

HCF LCM exponents squares and square roots. - Online Test

Test Results