Choose 1; if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
Choose 2; if the question can be answered by using either statement alone.
Choose 3; if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4; if the question cannot be answered even by using both statements together.
Consider three real numbers, X, Y and Z. Is Z the smallest of these numbers?
- X is greater than at least one of Y and Z.
- Y is greater than at least one of X and Z.
Answer: C
From statement A, there are four possibilities.
X > Y > Z
X > Z > Y
Z > X > Y
Y > X > Z
∴ This statement alone is not sufficient.
From statement B, there are four possibilities.
Y > X > Z
Y > Z > X
X > Y > Z
Z > Y > X
∴ This statement alone is not sufficient.
Using both statements together we get,
Either X > Y > Z or Y > X > Z.
In both the cases Z is smallest.
Hence, option (c).