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If n is a positive integer, what is the value of the hundreds digit of

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Bunuel
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If n is a positive integer, what is the value of the hundreds digit of [#permalink] New post   19 Nov 2017, 23:40
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If n is a positive integer, what is the value of the hundreds digit of 30^n ?

(1) 30^n > 1000
(2) n is a multiple of 3
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D
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Alexey1989x
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Re: If n is a positive integer, what is the value of the hundreds digit of [#permalink] New post   20 Nov 2017, 00:21
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(1) we can deduce that n>2
30^3=27000
Hundreds digit is Zero
(2) Lowest multiple is 3, so again we can find that hundreds digit is Zero
Answer D
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Re: If n is a positive integer, what is the value of the hundreds digit of [#permalink] New post   27 Nov 2017, 18:16
Isn't 0 a multiple of 3 though?
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Re: If n is a positive integer, what is the value of the hundreds digit of [#permalink] New post   27 Nov 2017, 18:18
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kimiah39 wrote:
Isn't 0 a multiple of 3 though?



Yes, 0 is a multiple of 3, but 0 is not a positive integer and it is given that n is a positive integer..
so n cannot be 0
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Re: If n is a positive integer, what is the value of the hundreds digit of [#permalink] New post   27 Nov 2017, 18:21
chetan2u wrote:
kimiah39 wrote:
Isn't 0 a multiple of 3 though?



Yes, 0 is a multiple of 3, but 0 is not a positive integer and it is given that n is a positive integer..
so n cannot be 0


oh okay great thank you!
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Re: If n is a positive integer, what is the value of the hundreds digit of [#permalink] New post   27 Nov 2017, 21:11
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kimiah39 wrote:
Isn't 0 a multiple of 3 though?


1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

For more check below:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.
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Re: If n is a positive integer, what is the value of the hundreds digit of [#permalink] New post   02 Nov 2019, 04:55
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If n is a positive integer, what is the value of the hundreds digit of 30^n ?

(1) 30^n > 1000
(2) n is a multiple of 3


30^1 =30 <1000
30^2=900 <1000
30^3=27000 >1000
30^4=540000 >1000
30^5=24300000 >1000
30^6=729000000 >1000

In any case hundreds digit is "0". So the correct option D
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Re: If n is a positive integer, what is the value of the hundreds digit of [#permalink] New post   24 Apr 2022, 07:39
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Re: If n is a positive integer, what is the value of the hundreds digit of [#permalink]
24 Apr 2022, 07:39
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