Data Sufficiency - Quant/Math - CAT 2008
Question 4 the day:
June 27, 2002
In this question, there is a question statement which is followed by two statements. You have to decide whether the information provided in the two statements is sufficient for answering the question.
- Mark 1
- If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
- Mark 2
- If the question can be answered by using either statement alone.
- Mark 3
- If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
- Mark 4
- If the question cannot be answered even by using both the statements together.
- Question
- Is pq positive?
(A) (p + q)2 > (p - q)2
(B) (p - q)2 is positive
Correct Answer - (1)
Solution:
Statement A:
(p + q)2 > (p - q)2 => (p + q)2 - (p - q)2 > 0
=> 4 pq > 0 => pq is positive
Statement B:
(p - q)2 is positive => (p - q)2 > 0
=> p - q > 0 => p > q
Using this, we can't conclusively state that pq is positive or negative.
Therefore, Statement A alone is sufficient to answer the question and not the Statement B. Hence, the answer choice is 1.
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