Discussion :: Numbers
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The sum of all two digit numbers divisible by 5 is:
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 =\(\frac {n } { 2 }(a+1) =\)\( \frac { 18 } { 2 }\)x (10 + 95) = (9 x 105) = 945.
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