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This mock test of Olympiad Test: Cube And Cube Roots - 2 for Class 8 helps you for every Class 8 entrance exam.
This contains 10 Multiple Choice Questions for Class 8 Olympiad Test: Cube And Cube Roots - 2 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Which of the following is a perfect cube?

Solution:

343 = 7 × 7 × 7

∴ 343 is a perfect cube.

QUESTION: 2

What is the value of

Solution:

QUESTION: 3

The value of x^{3}y^{2}, if x= 3, y= -3 will be

Solution:

QUESTION: 4

Find the least number which should be added to 500, in order to make the 500, a perfect cube.

Solution:

500 = 2 × 5 × 5 × 5 = 2 × 5^{3
}

∴ 12 should be added to make the sum, a perfect cube

QUESTION: 5

What is the least number which should be subtracted from 1370, in order to make the resultant, a perfect square?

Solution:

1370 = 2 × 5 × 137 1370 > 103 = 1000

∴ 113 = 1331, 123 = 1728

∴ 1370-1331 = 39

∴ Required number = 39

QUESTION: 6

Solution:

= 0.004

QUESTION: 7

19^{3} – 9^{3} will have – as its one of the factors

Solution:

will have (19 – 9) has one of its factors

∴ 10 will be a factor of (193 – 93)

QUESTION: 8

21^{3} + 27^{3} will have – as its one of the factors

Solution:

21^{3 }+ 27^{3 }has (21 + 27) as its one of the factors

∴ 48 will be a factor of (21^{3} + 27^{3})

QUESTION: 9

Which is the least number which should be added to 1720,in order to make it a perfect cube?

Solution:

1720 > 1000 = 10^{3}

∴ 11^{3} = 1331, 12^{3} = 1728

∴ 1728 – 1720 = 8 should be added to 1720 to make the sum, a perfect cube.

QUESTION: 10

where ‘n’ is a natural number, then

Solution:

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