Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 129)
129.
Which of the following numbers will completely divide (461 + 462 + 463 + 464) ?
3
10
11
13
Answer: Option
Explanation:

(461 + 462 + 463 + 464) = 461 x (1 + 4 + 42 + 43) = 461 x 85

     = 460 x (4 x 85)

     = (460 x 340), which is divisible by 10.

Discussion:
16 comments Page 2 of 2.

Rohit Patil said:   7 years ago
This can be solved easily by using a unit digit concept.

Janhawi said:   6 years ago
I think the answer is 11.
(1)

Atchaya s said:   6 years ago
Actually it will be the very easiest one.

It belongs to unit digit problem, for 4 their unit digits is only 4 and 6.

Because 4^1 = 4, 4^2 = 16 here unit digit is 6 then 4^3=64 here unit digit will be 6 this pattern follows. Here, 4 raises odd pwr it is 4 and 4have even pwr it has 6 apply it in the above que.

(4+6+4+6 = 20) it is completely divisible by 10 only then answer will be 10.
(4)

Pankaj Tiwari said:   4 years ago
What is the remainder of the solution? Anyone, please explain.

Sonu Kumar said:   4 years ago
How 1 will be applied in 1st one? Please explain to me.
(1)

Sayak Ojha said:   2 years ago
How (1+4+4²+4³)=85?
Anyone explain this step to me.
(2)


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