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22 Aug 2019, 03:15
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
90% (00:57) correct
10%
(00:06)
wrong
based on 10
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What will be the digit in the unit's place of a single digit which belongs to the set of natural numbers, when this number is raised to the power 5?
a. The number itself
b. Number + 1
c. Number – 1
d. Number / 1
e. None of the above
a. The number itself
b. Number + 1
c. Number – 1
d. Number / 1
e. None of the above
This Question is Locked Due to Poor Quality
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22 Aug 2019, 06:04
Kudos
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Simply try 1^5, 2^5, 3^5,...and we can see the pattern that all these results have the same digit in the unit's place like the number itself.
Since we only care about the last digit, we can do it quickly:
1^5=1 => 1
2^5= 32 => 2
3^5 ~ 3^2 *3^2 *3 ~ 9*9*3 ~ 1*3 ~3
4^5 ~ 4^2 * 4^2 * 4 ~ 6*6*4~6*4~4
...
IMO: A
Since we only care about the last digit, we can do it quickly:
1^5=1 => 1
2^5= 32 => 2
3^5 ~ 3^2 *3^2 *3 ~ 9*9*3 ~ 1*3 ~3
4^5 ~ 4^2 * 4^2 * 4 ~ 6*6*4~6*4~4
...
IMO: A
22 Aug 2019, 07:20
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GeorgeKo111
What will be the digit in the unit's place of a single digit which belongs to the set of natural numbers, when this number is raised to the power 5?
a. The number itself
b. Number + 1
c. Number – 1
d. Number / 1
e. None of the above
a. The number itself
b. Number + 1
c. Number – 1
d. Number / 1
e. None of the above
What is the source? Digits are not numbers, so mathematically the question doesn't make sense. I also don't understand the distinction between answer A and answer D; if you divide a number by 1, as we're doing in answer D, you don't change your number, so A and D are the same. Since your units digit never changes if you raise an integer to a 5th power (or 9th, 13th, 17th etc power), both A and D are correct, if I'm understanding the intention behind the problem correctly.
This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
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