Arithmetic

[tapanmittal]

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.

OA is B.
I am unable to understand the question.

[mclark30]

Hi tapanmittal,

1000m will look like this;

5 _ . _ _ (the blank spaces represent digits that we don't know)

If we then divide by 1000, we'll get m;

_ _ . _ 5 (decimal moves 3 places to the left)

Therefore the hundredths digit of m is 5.

[theCEO]

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.

OA is B.
I am unable to understand the question.

Lets say m = 0.1234
the hundreths digit of m = 2

1)
100 x 0.1234 = 12.34
The tenth digit = 3 and is not equal to the hundreths digit of m which is 2

2)
1000 x 0.1234 = 123.4
The tens digit = 2 which is equal to the hundreths digit of m which is 2
Therefore statement is sufficient

[GMATGuruNY]

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.

Statement 1: The tenths digit of 100m is 5.
Case 1: 100m = 0.5
Here, m = 0.005.
In this case, the hundredth digit of m is 0.

Case 2: 100m = 1.5
Here, m = 0.015.
In this case, the hundredth digit of m is 1.

Since the hundredth digit can be different values, INSUFFICIENT.

Statement 2: The tens digit of 1,000m is 5.
Case 3: 1000m = 50
Here, m = 0.05.
In this case, the hundredth digit of m is 5.

Case 4: 1000m = 152
Here, m = 0.152.
In this case, the hundredth digit of m is 5.

As Cases 3 and 4 illustrate, Statement 2 implies that the hundredth digit of m will always be 5.
SUFFICIENT.

The correct answer is B.

[Brent@GMATPrepNow]

Here are a few similar questions to practice with:
- https://www.beatthegmat.com/hundredth-digit-t280191.html
- https://www.beatthegmat.com/digit-ds-que ... 80317.html
- https://www.beatthegmat.com/decimal-ques ... 37999.html

Cheers,
Brent