NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 1: Number System - Multiple Choice Questions
Question 10

Question. 10

The value of \(5\div(-1)\) does not lie between

(a)

0 and –10

(b)

0 and 10

(c)

–4 and –15

(d)

–6 and 6

Detailed Answer with Explanation:

Step 1: Remember: dividing any number by −1 just changes its sign.

(5 div (-1) = -5)

Step 2: Now check where (-5) lies for each pair.

Between 0 and −10 means all numbers from (-10) up to (0).

(-10 < -5)

(-5 < 0)

So (-5) is between 0 and −10.
Between 0 and 10 means positive numbers only.

(-5) is negative, so it is not between 0 and 10.
Between −4 and −15 means numbers from (-15) up to (-4).

(-15 < -5)

(-5 < -4)

So (-5) is between −4 and −15.
Between −6 and 6 covers many numbers from negative to positive.

(-6 < -5)

(-5 < 6)

So (-5) is between −6 and 6.

Conclusion: The only pair that does not contain (-5) is “0 and 10”. Therefore, the correct option is (b).