HCF LCM exponents squares and square roots. - Question Bank

1. What is the value of 81^(1/4)?
A) 3
B) 9
C) 27
D) 81
2. What is the LCM of 5, 7, and 10?
A) 35
B) 70
C) 105
D) 140
3. What is the HCF of 13 and 17?
A) 1
B) 13
C) 17
D) 221
4. 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
5. The sum of the squares of the first three odd natural numbers is:
A) 14
B) 35
C) 50
D) 62
6. What is the square root of 0.0004?
A) 0.002
B) 0.02
C) 0.2
D) 2
7. Find the square root of 1024.
A) 30
B) 31
C) 32
D) 33
8. 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
9. What is the value of 5^-2?
A) -10
B) 1/10
C) 1/25
D) 25
10. The LCM of 14 and 21 is:
A) 7
B) 21
C) 28
D) 42
11. The HCF of 98 and 126 is:
A) 2
B) 7
C) 14
D) 49
12. What is the smallest perfect square divisible by 4, 6, and 9?
A) 36
B) 72
C) 108
D) 144
13. What is the square root of 1/16?
A) 1/2
B) 1/4
C) 1/8
D) 4
14. What is the value of 100^0.5?
A) 1
B) 10
C) 50
D) 100
15. If 3^x = 81, then x is equal to:
A) 2
B) 3
C) 4
D) 9
16. What is the smallest number that divides 48, 60, and 72 exactly?
A) 12
B) 24
C) 120
D) 240
17. Find the largest number that divides 62 and 132 without leaving a remainder.
A) 2
B) 4
C) 6
D) 11
18. What is the square root of 12.25?
A) 3.0
B) 3.5
C) 4.0
D) 4.5
19. What is the square of 0.5?
A) 0.025
B) 0.25
C) 2.5
D) 5
20. What is the value of 3^2 * 3^0?
A) 0
B) 3
C) 9
D) 27
21. Express 1/8 as a power of 2.
A) 2^3
B) 2^-3
C) 8^-1
D) 1/2^8
22. The LCM of 12 and 18 is:
A) 6
B) 18
C) 24
D) 36
23. The HCF of 18 and 42 is:
A) 2
B) 3
C) 6
D) 9
24. Which of the following numbers does NOT have a square root that is a whole number?
A) 400
B) 441
C) 484
D) 500
25. What is the square root of 576?
A) 22
B) 23
C) 24
D) 25
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 value of (4^3)^2?
A) 4^5
B) 4^6
C) 4^9
D) 12^2
28. What is the LCM of any two consecutive integers?
A) Their sum
B) Their difference
C) Their product
D) 1
29. The HCF of two prime numbers is always:
A) 1
B) The smaller prime number
C) The larger prime number
D) Their product
30. What is the smallest number by which 200 must be multiplied to get a perfect square?
A) 1
B) 2
C) 3
D) 5
31. The number of digits in the square root of 14400 is:
A) 2
B) 3
C) 4
D) 5
32. What is the square root of 1.21?
A) 0.11
B) 1.1
C) 11
D) 12.1
33. Simplify 6^4 / 6^3.
A) 1
B) 6
C) 6^7
D) 36
34. What is the value of 7^1 * 7^2?
A) 7^1
B) 7^2
C) 7^3
D) 49^3
35. Find the LCM of 15 and 20 using prime factorization.
A) 30
B) 45
C) 60
D) 75
36. Find the HCF of 45 and 75 using prime factorization.
A) 3
B) 5
C) 15
D) 25
37. Which of the following is a perfect square?
A) 121
B) 123
C) 125
D) 128
38. 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
39. 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
40. The square root of 0.81 is:
A) 0.09
B) 0.9
C) 9
D) 8.1
41. What is the square of 15?
A) 20
B) 25
C) 215
D) 225
42. What is the value of 10^0?
A) 0
B) 1
C) 10
D) Undefined
43. Simplify (3^4) / (3^2).
A) 3^2
B) 3^6
C) 3^8
D) 9
44. Find the LCM of 6, 8, and 10.
A) 60
B) 80
C) 120
D) 240
45. Find the HCF of 24, 36, and 60.
A) 4
B) 6
C) 12
D) 24
46. Which number is the smallest perfect square greater than 50?
A) 49
B) 64
C) 81
D) 100
47. What is the square root of 144?
A) 10
B) 11
C) 12
D) 13
48. What is the value of 2^5?
A) 10
B) 16
C) 25
D) 32
49. Express 5 x 5 x 5 x 5 in exponential form.
A) 5^3
B) 5^4
C) 4^5
D) 5 x 4
50. What is the least common multiple (LCM) of 8 and 12?
A) 16
B) 24
C) 32
D) 48
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