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

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

[A].

1035

[B].

1245

[C].

1230

[D].

945

Answer: Option D

Explanation:

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

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

tn = 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.
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