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NCERT Solutions Ganita Prakash (Part 1) Chapter 8 Dividend, Divisor and the Quotient — In-text Questions

Book page 189 Updated on2026-09-05

Q1.
When do you think the quotient is less than the dividend and when is it greater than the dividend?
Answer

It depends on the divisor, exactly as with multiplication.

  • Divisor greater than 1 → quotient is less than the dividend.
  • Divisor between 0 and 1 → quotient is greater than the dividend.
  • Divisor equal to 1 → quotient equals the dividend.
DivisionDivisorQuotientCompared with dividend
6 ÷ 33 > 12less than 6
6 ÷ 1/41/4 < 124greater than 6
1/8 ÷ 1/41/4 < 11/2greater than 1/8
Why it happens: dividing by 1⁄4 is the same as multiplying by 4, because the reciprocal of a number below 1 is above 1. So a small divisor makes a big answer.
Q2.
Is there a similar relationship between the divisor and the quotient? Use your understanding of such relationships in multiplication to answer the questions above.
Answer

Yes — for a fixed dividend, the divisor and the quotient move in opposite directions.

12 ÷ 2 = 6
12 ÷ 4 = 3  (divisor doubled → quotient halved)
12 ÷ 1/2 = 24  (divisor made 4 times smaller than 2 → quotient 4 times bigger)

So the bigger the divisor, the smaller the quotient, and the smaller the divisor, the bigger the quotient. The two are equal only when divisor × divisor = dividend, for example 9 ÷ 3 = 3.

Tip: quotient × divisor = dividend, always. If one of the two factors grows, the other must shrink to keep the same product.
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