Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

If 4xy7 is exactly divisible by 3, then the least value of (x + y) is

(a) 1

(b) 4

(c) 5

(d) 7

Solution:

(a) 1

If a number is divisible by 3, the sum of the digits is also divisible by 3.

$4+x+y+7=11+(x+y)$

For the sum to be divisible by 3 :

$11+(x+y)=12 \Rightarrow(x+y)=1$

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