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Question (21)

QN0018301

The smallest taxicab number mentioned in the chapter is:

(A) 1000
(B) 1331
(C) 1729
(D) 2197

Correct Answer: C

Explanation:

1729 is the smallest number expressible as the sum of two cubes in two different ways.

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Question (22)

QN0018302

1729 can be expressed as:

(A) 1³ + 12³ and 9³ + 10³
(B) 2³ + 11³ and 8³ + 9³
(C) 3³ + 10³ and 7³ + 8³
(D) 4³ + 9³ and 5³ + 8³

Correct Answer: A

Explanation:

1729 = 1³ + 12³ = 9³ + 10³.

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Question (23)

QN0018303

The sum 3 + 5 is equal to:

(A) 2³
(B) 3³
(C) 4³
(D) 5³

Correct Answer: A

Explanation:

3 + 5 = 8 = 2³.

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Question (24)

QN0018304

The sum 13 + 15 + 17 + 19 equals:

(A) 27
(B) 64
(C) 125
(D) 216

Correct Answer: B

Explanation:

13 + 15 + 17 + 19 = 64 = 4³.

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Question (25)

QN0018305

The sum 21 + 23 + 25 + 27 + 29 is:

(A) 64
(B) 81
(C) 100
(D) 125

Correct Answer: D

Explanation:

21 + 23 + 25 + 27 + 29 = 125 = 5³.

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Question (26)

QN0018306

The value of ∛8 is:

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

Correct Answer: B

Explanation:

2³ = 8.

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Question (27)

QN0018307

The cube root of 1000 is:

(A) 5
(B) 8
(C) 10
(D) 20

Correct Answer: C

Explanation:

10³ = 1000.

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Question (28)

QN0018308

If y = x³, then x is called the:

(A) Square root of y
(B) Cube root of y
(C) Factor of y
(D) Multiple of y

Correct Answer: B

Explanation:

x is the cube root of y.

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Question (29)

QN0018309

Which of the following is the cube root of 3375?

(A) 5
(B) 10
(C) 15
(D) 20

Correct Answer: C

Explanation:

15³ = 3375.

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Question (30)

QN0018310

Which number is not a perfect cube?

(A) 512
(B) 729
(C) 500
(D) 1000

Correct Answer: C

Explanation:

500 cannot be written as the cube of an integer.

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