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
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.
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