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n is a positive integer
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18 Nov 2019, 09:05
18 Nov 2019, 09:05
Expert Reply
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Question Stats:
75% (00:48) correct
24% (00:45) wrong based on 124 sessions
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\(n\) is a positive integer
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for the right answer and solution.
Quantity A |
Quantity B |
The remainder when \(3^{4n}\) is divided by 10 |
\(1\) |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for the right answer and solution.
Re: n is a positive integer
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19 Nov 2019, 09:40
19 Nov 2019, 09:40
1
If n=1 then Quantity B is greater (1/3<3/4)
If n=2, quantity A is greater (1/9>1/16)
Answer: D
If n=2, quantity A is greater (1/9>1/16)
Answer: D
Re: n is a positive integer
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21 Nov 2019, 08:52
21 Nov 2019, 08:52
3
3^4 = 81
Since last digit in 81 is 1, when 81 is multiplied by 81 any number of times we will end up with digit 1 at oneth place.
When any number is divided by 10 it leaves a remainder that is equal to the digit at oneth place.
Thus C is the answer.
Since last digit in 81 is 1, when 81 is multiplied by 81 any number of times we will end up with digit 1 at oneth place.
When any number is divided by 10 it leaves a remainder that is equal to the digit at oneth place.
Thus C is the answer.
