Civil Services Examination · Question 4

Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: X is a collection of certain odd numbers whereas Y is a collection of certain even numbers. T consists of the numbers all of which are either from X or from Y. Is every number of T from Y? Statement I: The sum of any two numbers belonging to T is even. Statement II: If both p and q are picked from T, then (p - 1)q is even.

1. AAnswerable using one statement alone, but not the other
2. BAnswerable using either statement alone
3. CAnswerable using both statements together, but not either alone
4. DCannot be answered even using both statements