Question

If a seven-digit number made up of all distinct digits 8, 7, 6, 4, 3, `xa n dy` divisible by 3, then a. Maximum value of `b . c. x-y d.` e. is 9 f. Maximum value of `g . h. x+y i.` j. is 12 k. Minimum value of `l . m. x y n.` o. is 0 p. Minimum value of `q . r. x+y s.` t. is 3

Answer 1

Correct Answer - 8
The sum of digits is divisible by 3.
i.e., `8+7+6+4+2+x+y` or 27+x+y is divisible by 3 `thereforex+y` must be divisible by 3.
then, possible ordered pairs are
(0,3),(3,0),(1,5),(5,1)(,0,9),(9,0),(3,9),(9,3)
`therefore`Number of ordered pairs=8