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Bunuel
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Which of the following cannot be the outcome of raising an integer to 24 Nov 2023, 09:59
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C
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Which of the following cannot be the outcome of raising an integer to the 4th power?

A. 65,610,000
B. 68,574,961
C. 62,356,782
D. 52,200,625
E. 37,015,056
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C
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VibhuAnurag
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Which of the following cannot be the outcome of raising an integer to 27 Nov 2023, 15:10
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The answer is C.

Units digits of 4th powers of numbers ending in different digits:
0^4 = 0
1^4 = 1
2^4 = 6
3^4 = 1
4^4 = 6
5^4 = 5
6^4 = 6
7^4 = 1
8^4 = 6
9^4 = 1

Hence, it can be seen that none of our numbers end in 2.
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Which of the following cannot be the outcome of raising an integer to 10 Dec 2023, 09:08
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Two close options are B & C
But option B is divisible by 7, so a multiple of 7 can be its factor possible..
Option C is correct.

Bunuel
Which of the following cannot be the outcome of raising an integer to the 4th power?

A. 65,610,000
B. 68,574,961
C. 62,356,782
D. 52,200,625
E. 37,015,056
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Which of the following cannot be the outcome of raising an integer to 10 Dec 2023, 09:18
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To solve this question what I did was

I knew that if an integer starts with 5 then all its powers will end with a 5 so we can eliminate D
And that if an integer starts with 0 then all its powers will end with a 0 so we can eliminate A
So then I thought of listing other number’s units digit and see their patterns like that of the first 2 examples

Digit ending with 1 = 1,1,1. This always ends in 1,so we can eliminate B
Digit ending with 2 = 2,4,8,6,2 Now,this seems to be changing unlike the others,but what I can see in the pattern is that an integer with units digit of 2 and I raise to the power of 4 I get the units digits as 6

Eliminate E

That leaves us with C ,so it should be the answer.

Answer = C

If you want to check further then just list the numbers from 0 - 9 and see the units digit of the power of four.

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Which of the following cannot be the outcome of raising an integer to 10 Mar 2024, 21:45
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4th power means it’s a square term … and square term can not have 2, 3 , 7 , 8 as unit digit . Hence c is the only option .
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Which of the following cannot be the outcome of raising an integer to 24 Jan 2026, 00:02
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