What is the hundredths digit of the decimal m ?

Question

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

Bunuel · Accepted Answer

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.

Answer: B.

Note: 1234.567

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

Hope it helps.

u0422811 · Answer

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.

tatane90 · Answer

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 ?

u0422811 · Answer

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?

tatane90 · Answer

thanks
with a.bcd it is much clearer for me

saxenashobhit · Answer

Nice one. I had missed basic basic math...was doing units, tenths, hundreths..

prashantbacchewar · Answer

I also missed this one. Nice Refersher on Basic concepts.

vigneshpandi · Answer

I forgot that after decimal point it is th tenths, hundred etc..
so got the wrong answer..
thank u bennel...

stonecold · Answer

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

SchruteDwight · Answer

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!

CEdward · Answer

Bunuel , I am guessing for these types of questions, the way you've defined the decimal is by cheating and looking at the statements? 
e.g. statement 2 says 1000 x m so you know you will have to move things over 3 decimal places, hence m should start with 3 decimal places?

BLTN · Answer

Dear CEdward it does not matter how many digits the variable M comprise. For instance, M= 0.ABCDEF the hundredths digit is "B", So St.1: 100* M = AB.CDEF the ten ths is C =5 but we need to find B - Insuff. St.2: 1000*M = ABC.DEF the ten s digit is 5, So B = 5 - Suff. Hope it helps

GMATinsight · Answer

if ABC.DEF is a number in decimal form the
 C = Unit's Digit 
 B = Tens Digit 
 A = Hundreds Digit

D = Ten th  Digit 
 E = Hundred th  Digit 
 F = Thousand th  Digit

If m = ABC.DEF

Then we need to find E here

Statement 1  : The tenths digit of 100m is 5.

100m = ABCDE.F
i.e. F = 5

NOT SUFFICIENT

Statement 2  : The tens digit of 1,000m is 5.
m = ABC.DEF
1000m = ABCDEF
tens digit of 1000m will be E
i.e. E = 5

SUFFICIENT

Answer: Option B

What is the hundredths digit of the decimal m ?

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What is the hundredths digit of the decimal m ?

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