Which of the following is divisible by 8?

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96354142

37450176

57064214

None of these

answer is B.

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Detailed Solution

We have to find the number which is divisible by 8.
If the number formed by the last 3 digits is divisible by 8, then the number is divisible by 8
Consider the number - 96354142
The number formed by the last 3 digits is 142. Dividing 142 by 8, we get

142 = 17 × 8 + 6

, since we are getting a remainder, 142 is not divisible by 8.
Thus, 96354142 is also not divisible by 8.
Consider the number - 37450176
The number formed by the last 3 digits is 176.
Dividing 176 by 8, we get,

176 = 22 × 8 + 0

, since we are not getting a remainder, 176 is divisible by 8.
Thus, 37450176 is also divisible by 8.
Consider the number - 57064214
The number formed by the last 3 digits is 214. Dividing 214 by 8, we get
214=

26 \times 8 + 6

, since we are getting a remainder, 214 is not divisible by 8.
Thus, 57064214 is also not divisible by 8.
Hence, from above we have that the number 37450176 is divisible by 8.

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