Civil Services Examination · Question 2
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: For two distinct real numbers x and y, which of them is bigger? Statement I: x² < y < 1 Statement II: y < √x < 1
Show answer & explanation
Answer: (D) Cannot be answered even using both statements
Explanation
Even together (x² < y < √x with 0 < x < 1), y can be on either side of x: with x = 0.25, y can be anything between 0.0625 and 0.5, e.g. 0.1 (y < x) or 0.4 (y > x). So the question cannot be answered.