Hi Samprits,
When dealing with a DS question it is important that you use all pieces of information provided both in the question stem as well as the statement.
We know that 4 < A < 6 and n and m are integers. To find the value of T we need the value of A and the value of n since T = A * 10n.
Statement 1 : (A * 10^m)^0.5 = 23100Squaring both sides we get (A * 10^m) = (23100)^2 ------>
(A * 10^m) = (23100 * 23100) ------> A = (23100 * 23100)/10^m
Now since A needs to be between 4 and 6, we need A to be 2.31 * 2.31, since 2.31 * 2.31 is the only possible product which gives us a value of A between 4 and 6.
So the value of m which gives us A as 2.31 * 2.31 is 8.However statement 1 does not give us any information about n.
Insufficient.Statement 2 : n - m = 7 Here we can have multiple values for n and m and do not have any information about A.
Insufficient.Combining statements 1 and 2We have A = 2.31 * 2.31, m = 8 and since n - m = 7, n has to be 15.
Sufficient.Answer : C
Hope this helps!
CrackVerbal Academics Team