Question

If n is an integer such that 1nn352 is a six-digit number exactly divisible by 24, what will be

the sum of the possible values of n?​

Answer 1

Answer:

1nn352 is divisible by 24.

So, it is divisible by 8 and 3.

The number formed by last three digits is 352 = 8* 44

So, the given number is divisible by 8 for any digit in place of n.

Now, the sum of digits of the given number = 2n + 11

2n + 11 is divisible by 3 if n = 2 or 5 or 8

So, the sum of the possible values of n

= 2 + 5 + 8 = 15.

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