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Question (31)

QN0018311

The prime factorisation of a perfect cube can be grouped into:

(A) Pairs
(B) Triplets
(C) Quadruplets
(D) Singles only

Correct Answer: B

Explanation:

Prime factors of a perfect cube occur in groups of three.

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Question (32)

QN0018312

The cube root of 64 is:

(A) 2
(B) 3
(C) 4
(D) 8

Correct Answer: C

Explanation:

4³ = 64.

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Question (33)

QN0018313

The cube root of 512 is:

(A) 6
(B) 7
(C) 8
(D) 9

Correct Answer: C

Explanation:

8³ = 512.

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Question (34)

QN0018314

The cube root of 729 is:

(A) 7
(B) 8
(C) 9
(D) 10

Correct Answer: C

Explanation:

9³ = 729.

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Question (35)

QN0018315

What number should be multiplied by 1323 to make it a perfect cube?

(A) 3
(B) 5
(C) 7
(D) 11

Correct Answer: C

Explanation:

1323 × 7 = 9261 = 21³.

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Question (36)

QN0018316

Which statement is true?

(A) The cube of every odd number is even.
(B) The cube of an odd number is odd.
(C) Every cube ends in 0.
(D) Every cube is a square.

Correct Answer: B

Explanation:

Odd × Odd × Odd = Odd.

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Question (37)

QN0018317

The cube root of 4913 is:

(A) 15
(B) 16
(C) 17
(D) 18

Correct Answer: C

Explanation:

17³ = 4913.

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Question (38)

QN0018318

The cube root of 12167 is:

(A) 21
(B) 22
(C) 23
(D) 24

Correct Answer: C

Explanation:

23³ = 12167.

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Question (39)

QN0018319

The cube root of 32768 is:

(A) 28
(B) 30
(C) 31
(D) 32

Correct Answer: D

Explanation:

32³ = 32768.

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