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If the number 91876*2 is completely divisible by 8, then the smallest whole number in place of * will be:(a) 1                     (b) 2                      (c) 3                   (d) 4

Question

If the number 91876*2 is completely divisible by 8, then the smallest whole number in place of * will be:(a) 1                     (b) 2                      (c) 3                   (d) 4

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Solution

For a number to be divisible by 8, the last three digits of the number must be divisible by 8.

Here, the last three digits are 8, 7 and *.

Let's try the options one by one:

(a) If * is 1, the last three digits become 871. 871 is not divisible by 8.

(b) If * is 2, the last three digits become 872. 872 is divisible by 8.

So, the smallest whole number in place of * that makes the number 91876*2 divisible by 8 is 2.

Therefore, the answer is (b) 2.

This problem has been solved

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