Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 75)
75.
Which of the following numbers will completely divide (325 + 326 + 327 + 328) ?
11
16
25
30
Answer: Option
Explanation:

(325 + 326 + 327 + 328) = 325 x (1 + 3 + 32 + 33) = 325 x 40

     = 324 x 3 x 4 x 10

     = (324 x 4 x 30), which is divisible by30.

Discussion:
23 comments Page 3 of 3.

Rambabu said:   1 decade ago
First we try to find factor of the number in terms of number given in option,

(3^25 + 3^26 + 3^27 + 3^28) = 325 x (1 + 3 + 32 + 33) = 325 x 40.

= 324 x 3 x 4 x 10.

= (324 x 4 x 30).

Here 30 is a factor of given number.

And every number must be divisible by its factor.

So correct answer is 30.

Irfan khan said:   1 decade ago
Can not understand. Someone explain please. ?

Kavi said:   1 decade ago
Please explain the method?


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