## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 4 Playing with Numbers Ex 4.2

Question 1.

Which of the following numbers are divisible by 5 or by 10:

(i) 3725

(ii) 48970

(iii) 56823

(iv) 760035

(v) 7893217

(vi) 4500010

Solution:

Question 2.

Which of the following numbers are divisible by 2, 4 or 8:

(i) 54014

(ii) 723840

(iii) 6531088

(iv) 75689604

(v) 786235

(vi) 5321048

Solution:

Question 3.

Which of the following numbers are divisible by 3 or 9:

(i) 7341

(ii) 59031

(iii) 12345678

(iv) 560319

(v) 720634

(vi) 3721509

Solution:

Question 4.

Examine the following numbers for divisibility by 11:

(i) 10428

(ii) 70169803

(iii) 7136985

Solution:

Question 5.

Examine the following numbers for divisibility by 6:

(i) 93573

(ii) 217944

(iii) 5034126

(iv) 901352

(v) 639210

(vi) 1790184

Solution:

Question 6.

In each of the following replace ‘*’ by a digit so that the number formed is divisible by 9:

(i) 4710 * 82

(ii) 70 * 356722

Solution:

Question 7.

In each of the following replace ‘*’ by (i) the smallest digit (ii) the greatest digit so that the number formed is divisible by 3:

(a) 4 * 672

(b) 4756 * 2

Solution:

Question 8.

In each of the following replace ‘*’ by a digit so that the number formed is divisible by 11:

(i) 8 * 9484

(ii) 9 * 53762

Solution:

Question 9.

In each of the following replace ‘*’ by (i) the smallest digit 00 the greatest digit so that the number formed is divisible by 6:

(a) 2 * 4706

(b) 5825 * 34

Solution:

Question 10.

Which of the following numbers are prime:

(i) 101

(ii) 251

(iii) 323

(iv) 397

Solution:

Question 11.

Determine if 372645 is divisible by 45.

Solution:

Question 12.

A number is divisible by 12. By what other numbers will that number be divisible?

Solution:

Question 13.

A number is divisible by both 3 and 8. By which other numbers will that number be always divisible?

Solution:

Question 14.

State whether the following statements are true (T) or false (F):

(i) If a number is divisible by 4, it must be divisible by 8.

(ii) If a number is divisible by 3, it must be divisible by 9.

(iii) If a number is divisible by 9, it must be divisible by 3.

(iv) If a number is divisible by 9 and 10 both, it must be divisible by 90.

(v) If a number divides two numbers separately, then it must divide their sum.

(vi) If a number divides the sum of two numbers, then it must divide the two numbers separately. .

(vii) If a number is divisible by 3 and 8 both, it must be divisible by 12.

(viii) If a number is divisible by 6 and 15 both, it must be divisible by 90.

Solution: