NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Problems and Solutions
Question 170

Question. 170

Population of a town = 450772. One out of 14 illiterate. Find number of illiterate persons.

Answer:

32,198 illiterate persons

Detailed Answer with Explanation:

“One out of 14” means \(\tfrac{1}{14}\) of the total are illiterate.

Write it as a multiplication:

\(\text{Illiterate} = \tfrac{1}{14} \times 450{,}772\)

Multiplying by \(\tfrac{1}{14}\) is the same as dividing by 14:

\(\text{Illiterate} = 450{,}772 \div 14\)

Do the division step by step:

\(45 \div 14 = 3\), remainder \(45 - 42 = 3\)

Bring down 0 → \(30\). \(30 \div 14 = 2\), remainder \(30 - 28 = 2\)

Bring down 7 → \(27\). \(27 \div 14 = 1\), remainder \(27 - 14 = 13\)

Bring down 7 → \(137\). \(137 \div 14 = 9\), remainder \(137 - 126 = 11\)

Bring down 2 → \(112\). \(112 \div 14 = 8\), remainder \(112 - 112 = 0\)

So the quotient is \(32{,}198\).

Check:

\(32{,}198 \times 14 = 450{,}772\) ✓

Therefore, the number of illiterate persons = \(32{,}198\).

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – Problems and Solutions | Detailed Answers