Chapter Quiz

Number Relationships and Square Roots

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Question 1

What is the HCF of 36 and 48?

A. 6

B. 12

C. 18

D. 24

Question 2

The HCF of two numbers is 8 and their LCM is 192. If one number is 64, find the other.

A. 16

B. 24

C. 32

D. 48

Question 3

What is the LCM of 12, 18 and 24?

A. 36

B. 48

C. 72

D. 144

Question 4

Find the largest number that divides 77, 123 and 169 leaving the same remainder.

A. 23

B. 34

C. 46

D. 69

Question 5

Find the smallest number that when divided by 8, 12 and 15 leaves remainder 5 in each case.

A. 115

B. 120

C. 125

D. 130

Question 6

HCF of fractions 3/4 and 5/6 is:

A. 1/12

B. 15/2

C. 1/24

D. 15/4

Question 7

LCM of fractions 3/4 and 5/6 is:

A. 1/12

B. 15/2

C. 15/4

D. 5/4

Question 8

How many total factors does 360 have? (360 = 2³ × 3² × 5)

A. 18

B. 20

C. 24

D. 30

Question 9

What is the sum of all factors of 12?

A. 24

B. 28

C. 30

D. 32

Question 10

If HCF of two numbers is 12 and their LCM is 144, what is their product?

A. 1128

B. 1728

C. 1456

D. 1296

Question 11

What is the last digit of 7^45?

A. 1

B. 3

C. 7

D. 9

Question 12

What is the last digit of 3^100?

A. 1

B. 3

C. 7

D. 9

Question 13

What is the last digit of 2^50?

A. 2

B. 4

C. 6

D. 8

Question 14

What is the last digit of 9^75?

A. 1

B. 3

C. 7

D. 9

Question 15

What is the last digit of 4^37?

A. 2

B. 4

C. 6

D. 8

Question 16

Find √5329.

A. 71

B. 73

C. 77

D. 79

Question 17

Simplify: √50 + √72 - √98

A. √2

B. 2√2

C. 3√2

D. 4√2

Question 18

What is √(8 + 2√15)?

A. √3 + √5

B. √5 + √3

C. 2 + √5

D. √7 + 1

Question 19

Find √(12 + √(12 + √(12 + ...∞)))

A. 3

B. 4

C. 6

D. 12

Question 20

What is √(√(√65536))?

A. 2

B. 4

C. 8

D. 16

Question 21

Simplify: √(6-2√5)

A. √5 - 1

B. √5 + 1

C. √3 - √2

D. 2 - √5

Question 22

The value of (√5 + √3)(√5 - √3) is:

A. 2

B. 4

C. √15

D. 8

Question 23

Rationalise the denominator: 1/(√7 - √5)

A. (√7 + √5)/2

B. (√7 - √5)/2

C. (√7 + √5)/4

D. (√7 - √5)/12

Question 24

Find ∛17576.

A. 24

B. 26

C. 28

D. 32

Question 25

Find ∛314432.

A. 64

B. 66

C. 68

D. 72

Question 26

What is the last digit of the cube root of a perfect cube ending in 7?

A. 3

B. 7

C. 9

D. 1

Question 27

What is the value of (2³)⁴?

A. 2⁷

B. 2¹²

C. 8⁴

D. Both b and c

Question 28

Compare 2^30 and 3^20. Which is greater?

A. 2^30

B. 3^20

C. Both are equal

D. Cannot be determined

Question 29

What is the value of 5^0 + 3^(-1) + 2^(1/2)?

A. 1 + 1/3 + √2

B. 0 + 1/3 + √2

C. 5 + 3 + 2

D. 1 + 3 + 2

Question 30

The product of all factors of 12 is:

A. 144

B. 1728

C. 288

D. 864

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