NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Fill in the Blanks
Question 145

Question. 145

A number is divisible by 5, if it has ____ or ____ in its ones place.

Answer:

0 or 5

Detailed Answer with Explanation:

Divisibility rule for 5 (step by step)

  1. Look only at the ones place (the last digit on the right).

  2. If the ones place is 0 or 5, then the number is divisible by 5.

  3. If the ones place is not 0 or 5, then the number is not divisible by 5.

Examples

  • 30 ends with 0 → divisible by 5.

  • 85 ends with 5 → divisible by 5.

  • 120 ends with 0 → divisible by 5.

Non-examples

  • 42 ends with 2 → not divisible by 5.

  • 67 ends with 7 → not divisible by 5.

Quick checks (small divisions)

\(85 \div 5 = 17\)

\(30 \div 5 = 6\)

\(42 \div 5 = 8\) with remainder \(2\) → not divisible by 5.

Why this works: Multiples of 5 always end in 0 or 5, so any number that ends in 0 or 5 can be made by multiplying 5 by some whole number.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – Fill in the Blanks | Detailed Answers