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n is a positive integer

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n is a positive integer [#permalink] New post   18 Nov 2019, 09:05
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A
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C
D

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75% (00:48) correct 24% (00:45) wrong based on 124 sessions

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n is a positive integer

Quantity A
Quantity B
The remainder when 34n 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

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C
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andrea29394
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Re: n is a positive integer [#permalink] New post   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
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Re: n is a positive integer [#permalink] New post   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.
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Re: n is a positive integer [#permalink] New post   21 May 2022, 02:54
Save time. Just take two values for n = 1, and 2.

For n=1. Quantity A: 3*3*3*3 = 81 => Remainder = 1.
For n =2. Quantity A: 81*81 = ----1 (unit digit) => Remainder = 1.

Hence answer C.
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Re: n is a positive integer [#permalink]
21 May 2022, 02:54
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