Question : 625 + 626 + 627 + 628 is divisible by:
Option 1: 256
Option 2: 254
Option 3: 255
Option 4: 259
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Correct Answer: 259
Solution :
6
25
+ 6
26
+ 6
27
+ 6
28
= 6
25
(1 + 6 + 6
2
+ 6
3
)
= 6
25
(7 + 36 + 216)
= 6
25
(259)
It is divisible by 259.
Hence, the correct answer is 259.
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