AakashSingh wrote:
Are there more engineers than salespeople working at Soho Corp?
(1) Soho Corp Employs 2/3 as many clerical staff as engineers and salespeople combined.
(2) If 3 more engineers were employed by Soho Corp and the number of salespeople remained the same, then the numbers of engineers would be double the number of salespeople employed by the company.
This is from one of
MGMAT Strategy Guide for Algebra.
I would like to propose a mathematical way of solving this question. Though I seriously feel that mathematically, it would take more time to solve.
We can clearly notice that neither Statement 1 nor Statement 2 is individually correct.
Now we have to check if both the statement together can get us the answer.
From Statement 2, we have E+3 = 2S
From Statement 1, we have C=2/3(E+S)
Therefore, E+S+C=T (using T as the symbol for total)
After substituting the value of C from statement 1, and the value of E in the form of S from statement 2; we get,
E=(2T-5)/5
S=(T+5)/5
Now,
We have to compare which one is higher, E or S.
The values of E and S are clearly dependant on T.
If we look at E and S a little closely, then we can surely say that for E to be greater than S, T must be greater than 5. We do not have any constraint on the value of T.
So let us say, if T=5, we get E=1, S=2, C=2. All conditions are satisfied. E<S
But if T=10, we get E=3, S=3, C=4. All conditions are satisfied. E=S
And if T=15, we get E=5, S=4, C=11. All conditions are satisfied. E>S.
Hence, both Statement 1 and Statement 2 together are not getting us the uniform answer.