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

Question

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

Alexey1989x · Answer

(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

kimiah39 · Answer

Isn't 0 a multiple of 3 though?

chetan2u · Answer

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

kimiah39 · Answer

oh okay great thank you!

Bunuel · Answer

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.

merajul · Answer

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

bumpbot · Answer

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

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