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Aptitude · Q53

Number System

Competitive Exams · Aptitude · question 53

Q53

The remainder , when (22225555 + 55552222) is divided by 7, is

A.
4
B.
5
C.
0
Answer
D.
2
E.
None of these

Answer: Option C

Solution

Answer: Option C
Solution:
an + bn is always divisible by (a + b) when n is odd.
So,
(22225555 + 55552222) is always divisible by (2222 + 5555) = 7777
And 7777 is multiple of 7,
so (22225555 + 55552222) is divisible by 7