Question

A seven-digit number made up of all distinct digits 8, 7, 6, 4, 2, x and y is divisible by 3. Then possible number of order pair (x, y) is-

• A. 4
• B. 8
• C. 2
• D. None of these

Answer 1

Answer: (B)

8

Answer 2

8, 7, 6, 4, 2, x and y

Any number is divisible by 3 if sum of digits is divisible by 3

i.e. x + y + 27 is divisible by 3.

x and y can take values from 0, 1, 3, 5, 9

possible pairs (5, 1) (3, 0), (9, 0) (9, 3) & (1, 5) (0, 3) (0, 9) (3, 9)