2023 · Q73
Item contains a Question followed by two Statements. Answer each item using the following instructions : Question : Is m > n, where m, n are non-zero numbers?Statement I : (m)/(n)>1Statement II : m > 2n
Elementary MathematicsNumber System
- AChoose this option if the Question can be answered by one of the Statements alone but not by the other.
- BChoose this option if the Question can be answered by either Statement alone.
- CChoose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DChoose this option if the Question cannot be answered even by using both Statements together.
Explanation
Statement I (m/n > 1): with n > 0 it gives m > n (e.g. m=2,n=1, answer yes), but with n < 0 it gives m < n (e.g. m=−2,n=−1, answer no). Statement II (m > 2n): m=3,n=1 gives yes, yet m=−3,n=−2 satisfies it with m < n (answer no). Combined, (3,1) and (−3,−2) both satisfy the two statements while giving opposite answers, so the question is undecidable even with both (D). The stored key (B) is wrong and has been fixed.