If the sum of digits of a number is divisible by three, then the number is always divisible by
(a) 2
(b) 3
(c) 6
(d) 9

Solution:

If the sum of digits of the number is divisible by 3 then the number is always divisible by 3.

e.g. the number 1221 is divisible by 3 because 1 + 2+ 2 + 1 = 6 which is divisible by 3 and hence 1221 is divisible by 3

Another example is no. 12. 12 = 1 + 2 = 3 which is divisible by 3 and hence 12 is divisible by 3.

The correct Answer is (b).

✦ Try This: If the last two digits of a number is divisible by 4 then the number is always divisible by : (a) 2, (b) 3, (c) 8, (d) 4

If the last two digits of a number are divisible by 4 then the number is divisible by 4.

E.g 124 is a three digit number. Its last two digits are 24 and it is divisible by 4. Therefore the number 124 is divisible by 4.

The correct choice is (d)

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16

NCERT Exemplar Class 8 Maths Chapter 13 Problem 11

If the sum of digits of a number is divisible by three, then the number is always divisible by (a) 2, (b) 3, (c) 6, (d) 9

Summary:

If the sum of digits of a number is divisible by three, then the number is always divisible by 3

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