The remainder when (1523 + 2323) is divided by 19, is :
B. 4
C. 15
D. 18
Answer: Option A
Solution (By Examveda Team)
(xn + an) is divisible by (x + a) when n is odd∴ (1523 + 2323) is divisible by (15 + 23)
⇒ (1523 + 2323) is divisible by 38 and hence by 19
⇒ On dividing (1523 + 2323) by 19, we get 0 as remainder.
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