Q1 of 239 Page 45

Choose the correct answer for the following:
The number of zeros of the cube root of 1000 is

Prime Factorization:

⇒ = (1000)^1/3

(1000)^1/3= ((2 × 2 × 2) × (5 × 5 × 5))^1/3

= (2³ × 5³)^1/3

= (10³)^1/3

We know that by law of exponents, (a^m)ⁿ = a^mn.

∴ (1000)^1/3= 10

Hence, there is only one zero in the cube root of 1000.

Choose the correct answer for the following:

Which of the following numbers is not a perfect cube?

Choose the correct answer for the following:

The cube of an odd natural number is

Choose the correct answer for the following:

The unit digit of the cube of the number 50 is

Choose the correct answer for the following:

The number of zeros at the end of the cube of 100 is

Questions · 239

1. Real Number System

1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1 1 2 3

Choose the correct answer for the following:The number of zeros of the cube root of 1000 is