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Intern  Joined: 02 Jul 2010
Posts: 16
What is the hundredths digit of the decimal m ?  [#permalink]

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5
1
5 00:00

Difficulty:   35% (medium)

Question Stats: 62% (01:11) correct 38% (01:19) wrong based on 346 sessions

### HideShow timer Statistics 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.
Manager  Joined: 16 Sep 2010
Posts: 189
Location: United States
Concentration: Finance, Real Estate
GMAT 1: 740 Q48 V42 ### Show Tags

1
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
Posts: 16

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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: 189
Location: United States
Concentration: Finance, Real Estate
GMAT 1: 740 Q48 V42 ### Show Tags

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?
Math Expert V
Joined: 02 Sep 2009
Posts: 56370

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2
2
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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Intern  Joined: 02 Jul 2010
Posts: 16

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thanks
with a.bcd it is much clearer for me
Manager  Joined: 20 Jul 2010
Posts: 205

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Nice one. I had missed basic basic math...was doing units, tenths, hundreths..
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Manager  Joined: 20 Apr 2010
Posts: 174
Schools: ISB, HEC, Said

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I also missed this one. Nice Refersher on Basic concepts.
Manager  Joined: 23 Sep 2009
Posts: 105

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I forgot that after decimal point it is th tenths, hundred etc..
thank u bennel...
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Current Student D
Joined: 12 Aug 2015
Posts: 2609
Schools: Boston U '20 (M)
GRE 1: Q169 V154 Re: What is the hundredths digit of the decimal m ?  [#permalink]

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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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Re: What is the hundredths digit of the decimal m ?  [#permalink]

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_________________ Re: What is the hundredths digit of the decimal m ?   [#permalink] 18 Aug 2018, 07:47
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