CAT 2004 — QA Question 28
Number TheoryEasy
The remainder, when (1523 + 2323) is divided by 19, is:
Answer & solution
Correct answer: 0
- A
4
- B
15
0
- D
18
Solution
(an + bn) is always divisible by (a + b) if n is odd
∴ (1523 + 2323) is divisible by (15 + 23) ie, 38.
⇒ 1523 + 2323 = 38x, which is divisible by 19.
⇒ Remainder when (1523 + 2323) is divided by 19 is 0.
Hence, option (c).