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.

Vibhava said:   9 years ago
For x=odd means: 4 raised to odd no. ie. 4^1,4^3,4^5...will get 4,64,1024.
Here unit values are 4,4,4.

Similarly for x=even: 4 raised to even no. ie. 4^2,4^4,4^6... will get 16,256,4096...
here the unit places are 6,6,6.

So will get alternative 4 and 6 as unit places.
Hope I conveyed a little.
(1)

Srikant said:   9 years ago
I can't understand it, please explain me in detail.

Ashok said:   9 years ago
Please explain me about the unit place rules. I can't understand it. What is even and odd here.
I'm confusing.
(1)

Sandeep kumar gupta said:   9 years ago
As 4*4 = 16 and unit place of 16 is 6.

Shreya said:   1 decade ago
How 6 is at unit place?

Jijo said:   1 decade ago
In the case of 4,the unit values are 4 and 6

The unit value:
For x=odd no:(1,3,5,..), 4 raised to x = 4
For x=even no:(2,4,6,..), 4 raised to x = 6

In here unit values are 4,6,4 and 6

So 4+6+4+6=20, The unit value is 0

So it is divisible by 10


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