harshavmrg wrote:
3.2XY6
If X and Y each represent single digits in the decimal above, what digit does X represent?
(1) When the decimal is rounded to the nearest tenth, 3.2 is the result.
(2) When the decimal is rounded to the nearest hundredth, 3.24 is the result.
Statement 1 - Rounded to nearest tenth = 3.2
This means that X can be 0,1,2,3 or4 - any of these - because rounding up with these digits next to 2 would lead to 3.2 as the answer. -- not sufficient
Statement 2 - Rounded to 100ths - 3.24 - This means that X can be either 3 or 4.
Case when X is 3:-
3.23Y6 - If Y is 5,6,7,8 or 9 , then rounding up this number would give result - 3.24
Case when X is 4:-
3.24Y6 - If Y is 0,1,2,3 or 4, then rounding up the number would give - 3.24
So, we can see that in case of statement 2 as well, X can have 2 values - 3,4 - so not sufficient.
Combining both statements - still X can be either 3 or 4.
So Answer - E