Cubes and Cube Roots Test

Result

Cubes and Cube Roots Test - 3

Score
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Rank
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Weekly Quiz Competition

Question 1
1 / -0

What is the smallest number which when multiplied by 3600 will give a perfect cube as the product?

A
100

B
60

C
50

D
40

Solution

3600 = 2 × 3 × 2 × 5 × 2 × 3 × 2 × 5
Pairing up, we get
3600 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5
So, to obtain a perfect cube, we need to multiply 3600 by 2 × 2 × 3 × 5 = 60.
So, the correct answer is 60.
Question 2
1 / -0

Which of the following statements is/are true?
(I) Cube of any odd number is even.
(II) A perfect cube does not end with two zeroes.

A
Both (I) and (II) are true

B
Both (I) and (II) are false

C
Only (I) is true

D
Only (II) is true

Solution

(i) Cube of an odd number is even. (False)

Cube of an odd number is always odd.

e.g. (11)³ = 11 × 11 × 11 = 121 × 11

= 1331

(ii) A perfect cube does not end with two zeroes. (True)

A perfect cube will end with 3, 6, 9 .......... zeroes.

e.g. 30³ = 27000 50³ = 125000

So, only (II) is correct.