Question

4a56 is a four-digit numeral divisible by 33. What is the value of a?​

Answer 1

Step-by-step explanation:

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Answer 2

Given data: 4a56 divisible by 33

To find: Value of a

Solution:

First 33 is the multiple of 3 × 11, So we need to check divisibility of the given number by 3 and 11.

Consider a = 0, 4+0+5+6 = 15 (multiple of 3) and 9-6 = 3 (not multiple of 11).

a = 1, 4+1+5+6 = 16 (not multiple of 3) and 9-7 = 2 (not multiple of 11).

a = 2, 4+2+5+6 = 17 (not multiple of 3) and 9-8 = 1 (not multiple of 11).

a = 3, 4+3+5+6 = 18 (multiple of 3) and 9-9 = 0 (multiple of 11).

Hence the value of a is 3.