The sum of all two digit numbers divisible by 5 is: Options: A . &nbsp1035 B . &nbsp1245 C . &nbsp1230 D . &nbsp945 E . &nbspNone of these

The sum of all two digit numbers divisible by 5 is:

Question

The sum of all two digit numbers divisible by 5 is:

Answer: Option D

Required numbers are 10, 15, 20, 25, ..., 95

This is an A.P. in which a = 10, d = 5 and l = 95.

t_n = 95 a + (n - 1)d = 95

10 + (n - 1) x 5 = 95

(n - 1) x 5 = 85

(n - 1) = 17

n = 18

Requuired Sum =
n
(a + l)
=
18
x (10 + 95) = (9 x 105) = 945.
2
2

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