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Question

1A44 is divisible by 6, find the value of digit A

A

True

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B

False

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C

5

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D

0

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Solution

The correct option is A True 1A44 is divisible by 6 if it is divisible by both 2 and 3 both 1A44 is divisible by 2 , ⇒ 1 + A + 4 + 4 is divisible by 2 ⇒ 9 + A = 0 , 2, 4, 6, 8 , 10 ,12, 14 .... ⇒ A = -9 , -7 , -5, -3, -1, 1, 3 , 5 .... 1A44 is divisible by 3 ⇒ 1 + A + 4 + 4 is divisible by 3 ⇒ 9 + A = 0 , 3, 6 , 9 , 12, 15, 18............. ⇒ A = -9 , -6 , 0, 3, 6, 9 ............ Value of the digits common in equations (i) and (ii) is 3 ∴ A = 3

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