Question

The number of six digit numbers divisible by 15, in which sum of digits is 48, is -

• A. 25
• B. 90
• C. 20
• D. 15

Answer 1

Answer: (D)

15

Answer 2

Number must be divisible by 3 & 5 as the sum is 48 so every number will be divisible by 3

For divisibility of 5, unit digit must be '5'

(i) 99988 5 ® $\frac{5!}{2!3!}$ = 10

(ii) 99997 5 ® $\frac{5!}{4!}$ = 5

Total numbers are = 15