Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 129)
129.
Which of the following numbers will completely divide (461 + 462 + 463 + 464) ?
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 1 of 2.
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.
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)
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.
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)
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
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
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.
I'm confusing.
(1)
Pankaj Tiwari said:
4 years ago
What is the remainder of the solution? Anyone, please explain.
Rohit Patil said:
7 years ago
This can be solved easily by using a unit digit concept.
Sonu Kumar said:
4 years ago
How 1 will be applied in 1st one? Please explain to me.
(1)
Srikant said:
9 years ago
I can't understand it, please explain me in detail.
Sayak Ojha said:
2 years ago
How (1+4+4²+4³)=85?
Anyone explain this step to me.
Anyone explain this step to me.
(2)
Souravmaya said:
8 years ago
How to take (1 + 4 + 4^2 + 4^3)?
Explain it.
Explain it.
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