Question 59

If 7129p465 is divisible by 9, then the value of p is:

Solution

Given, $$7129p465$$ is divisible by 9

$$=$$> Sum of digits of $$7129p465$$ is divisible by 9

$$=$$> $$7+1+2+9+p+4+6+5$$ = multiple of 9

$$=$$> $$34+p$$ = multiple of 9

The only possibility for $$34+p$$ is multiple of 9 is $$p=2$$ as $$0\le\ p\le\ 2$$

$$\therefore\ p=2$$

Hence, the correct answer is Option D

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