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# What is the hundredths digit of the decimal m ?

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Intern
Joined: 02 Jul 2010
Posts: 15
What is the hundredths digit of the decimal m ?  [#permalink]

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21 Sep 2010, 12:49
5
1
10
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:13) correct 41% (01:25) wrong based on 381 sessions

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What is the hundredths digit of the decimal m ?

(1) The tenths digit of 100m is 5.
(2) The tens digit of 1,000m is 5.
Math Expert
Joined: 02 Sep 2009
Posts: 64101

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21 Sep 2010, 23:06
2
4
tatane90 wrote:
What is the hundreths digit of the decimal m ?
(1) The tenths digit of 100m is 5.
(2) The tens digit of 1,000m is 5.

I am not easy with this one.

What is the hundredths digit of the decimal m?

Let's say $$m=a.bcd$$. Hundredths digit would be the value of $$c$$. So the question is: $$c=?$$

(1) The tenths digit is 100m is 5 --> $$100m=100*a.bcd=abc.d$$ --> tenths digit of $$100z$$ is the value of $$d$$. So $$d=5$$. Not sufficient to calculate $$c$$.

(2) The tens digit of 1,000m is 5 --> $$1000m=1000*a.bcd=abcd$$ --> tens digit of $$1000m$$ is the value of $$c$$. So $$c=5$$. Sufficient.

Note: 1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS

Hope it helps.
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Manager
Joined: 16 Sep 2010
Posts: 180
Location: United States
Concentration: Finance, Real Estate
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21 Sep 2010, 14:15
2
B.

What is the hundreths digit of the decimal m ?
(1) The tenths digit of 100m is 5.
(2) The tens digit of 1,000m is 5.

To solve this lets randomly say that m = .05.

(1) 100 (.05) = 5.00 => 0 does not equal 5 (which is our hundreths digit) so A is insufficient
(2) 1000 (.05) = 50.00 since the 5 is in the tens digits and 5 = 5 we have a winner.

B is sufficient.
Intern
Joined: 02 Jul 2010
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21 Sep 2010, 14:36
What is the hundreths digit of the decimal m ?
(1) The tenths digit of 100m is 5.
if we take m = 0.005, thus the tenths digit of 100m is 5
and the hundreths digit of the decimal m is 0
Why is it not sufficient ?
How do you know that the tenths digit must be equal to the hundreths digit ?
Manager
Joined: 16 Sep 2010
Posts: 180
Location: United States
Concentration: Finance, Real Estate
GMAT 1: 740 Q48 V42

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21 Sep 2010, 14:44
tatane90 wrote:
What is the hundreths digit of the decimal m ?
(1) The tenths digit of 100m is 5.
if we take m = 0.005, thus the tenths digit of 100m is 5
and the hundreths digit of the decimal m is 0
Why is it not sufficient ?
How do you know that the tenths digit must be equal to the hundreths digit ?

Once you are past zero it goes tenths, hundredths, thousandths
So in the number 0.05 the number 5 is in the hundredths position. In 0.5 the number 5 is in the tenths position.

Taking this knowledge if something is in the hundredths position (meaning in the 0.0X location) and you multiply it by 1,000 you are shifting the decimal place three spaces to the right.

We started out at 000.0x and we end up shifting it to 0X0.00.

So by multiplying the hundredths position by 1,000 the digit shifts its location to the tens position.

Does this make sense or did I butcher that explanation?
Intern
Joined: 02 Jul 2010
Posts: 15

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22 Sep 2010, 12:25
thanks
with a.bcd it is much clearer for me
Manager
Joined: 20 Jul 2010
Posts: 166

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22 Sep 2010, 17:05
Nice one. I had missed basic basic math...was doing units, tenths, hundreths..
Manager
Joined: 19 Apr 2010
Posts: 168
Schools: ISB, HEC, Said

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23 Sep 2010, 23:22
I also missed this one. Nice Refersher on Basic concepts.
Manager
Joined: 23 Sep 2009
Posts: 86

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25 Sep 2010, 14:43
I forgot that after decimal point it is th tenths, hundred etc..
thank u bennel...
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Joined: 12 Aug 2015
Posts: 2522
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: What is the hundredths digit of the decimal m ?  [#permalink]

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19 Nov 2016, 00:41
1
1
tatane90 wrote:
What is the hundredths digit of the decimal m ?

(1) The tenths digit of 100m is 5.
(2) The tens digit of 1,000m is 5.

Let m be abc.pqr
So we need to get q
statement 1
100m=abcpq.r
tenths digit of 100m => 5
hence r=5
hence insufficient
statement 2
1000m=abcpqr
tens 1000m=q
hence q=5
hence sufficient
Hence B
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What is the hundredths digit of the decimal m ?  [#permalink]

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09 Nov 2019, 06:49
$$m=12.3456 \implies 100m=1234.56$$ we need a match with 4, however.

$$m=12.3456 \implies 1000m=12345.6$$ we get a match with 4!
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What is the hundredths digit of the decimal m ?   [#permalink] 09 Nov 2019, 06:49