three digit number with even sum

The total number of three digit numbers, the sum of whose digits is even, is equal to:
(A) 450 (B) 350
(C) 250 (D) 325

3 Answers

1057
Ketan Chandak ·

There are 900 three digit numbers....half of them will have even sum and half odd sum...so i guess 450.

1133
Sourish Ghosh ·

450

2305
Shaswata Roy ·

We can fill the hundred's place in 9 ways (any digit from 1-9).

Ten's place in 10 ways (0-10)

The unit's digit can be however filled in only 5 ways as opposed to the usual 10 ways since it can be filled by either only even no.s or only odd no.s depending on whether the sum of the ten's place and the hundred's place digit is even or odd.

Hence no. of ways is 450.

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