1.

Let N be the least positive integer such that whenever a non-zero digit c is written after the last digit of N, the resulting number is divisible by c. The sum of the digits of N is(a) 9(b) 18(c) 27(d) 36

Answer»

Answer is : (a) 9

As N be the least positive integer and when a non-zero digit C is written after the last digit of N, the resulting number is divisible by C.

So, 10N + C is divisible by C.

∴10 N must be divisible by C.

Now, the least integer (N) which is divisible by digit ‘C’ i.e. (1 to 9) must be L.C.M of {1, 3, 4, 6, 7, 9}.

= L.C.M of {4, 7, 9} = 252 = N

and sum of digits of number ‘N’ is 2+5+2 = 9


Discussion

No Comment Found

Related InterviewSolutions