Hi j_shreyans,

The question that you've posted is remarkably similar to the one posted here:

https://www.beatthegmat.com/digit-ds-que ... 80317.html

Read through my explanation, then try taking the same approach with this prompt. I bet that you can solve it.

GMAT assassins aren't born, they're made,
Rich

j_shreyans wrote:What is the hundredths digit of the decimal z?

Statement 1- The tenths digit of 100z is 2

Statement 2 - The unit digit of 1000z is 2

OAE

Target question: What is the hundredths digit of the decimal z?

Statement 1: The tenths digit of 100z is 2
Notice what happens when we take a decimal like 0.123456 and multiply it by 100.
We get 12.345 (the tenths digit is 3)
In the original decimal, the 3 was in the thousandths place.
So, statement 1 tells us that the THOUSANDTHS digit of z is 3
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The unit digit of 1000z is 2
Notice what happens when we take a decimal like 0.123456 and multiply it by 1000.
We get 123.45 (the units digit is 3)
In the original decimal, the 3 was in the thousandths place.
So, statement 2 tells us that the THOUSANDTHS digit of z is 3
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

NOTE: Since statements 1 and 2 BOTH tell us the same thing (i.e., the THOUSANDTHS digit of z is 3), the combined statements are NOT SUFFICIENT

Answer = E

Cheers,
Brent