Cubes And Cube Roots Test

Result

Cubes And Cube Roots Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statement(s) is/are CORRECT?

Statement - 1: Cube root of 6,81,472 is an irrational number.
Statement - 2: Cube of an odd number may or may not be an odd number.

A
Only statement 2.

B
Only statement 1.

C
Both statements 1 and 2.

D
Neither statement 1 nor 2.

Solution

1. Cube root of 6,81,472 is 88 which is a rational number. Any real number that cannot be written in a fraction form is an irrational number. These numbers include the non-terminating, non-repeating decimals, such as pi (3.1515926).

2. Cube of an odd number is always an odd number.
E.g : 3³ = 27
5³ = 125

7³ = 343

So, both the statements are incorrect.
Question 2
1 / -0

Find the value of 57³ - 57² - 27³.

A
162261

B
169872

C
146711

D
146625

Solution

57³ - 57² - 27³
= 185193 - 3249 - 19683
= 162261
Question 3
1 / -0

What is the smallest number that can be multiplied by 5400 to make it a perfect cube?

A
5

B
3

C
2

D
9

Solution

5400 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5

So, if we multiply 5400 by another 5, it will become 27000, which is a perfect cube.