CAT 1996QA Question 39

Data SufficiencyEasy

Direction: Each question is followed by two statements, I and II. Mark the answer as

1. if the question cannot be answered even with the help of both the statements taken together.
2. if the question can be answered by any one of the two statements.
3. if each statement alone is sufficient to answer the question, but not the other one (e.g. statement I alone is required to answer the question, but not statement II and vice versa).
4. if both statements I and II together are needed to answer the question.

If a, b and c are integers, is (a – b + c) > (a + b – c)?

I. b is negative.
II. c is positive.

Answer & solution

Correct answer: 4

Answer: 4

Solution

This question can be answered by using the two statements.
Given (a – b + c) > (a + b – c).
It is nothing but is (–b + c) > (b – c).
Since b is negative and c is positive,
⇒ c > b
Using both statements
c > 0
b < 0
c > b
So always (a – b + c) > (a + b – c).

Related Data Sufficiency questions

See all Data Sufficiency questions →
CAT 1996 QA Q39: Direction: Each question is followed by two statements, I and II. Mark the answer as 1. if the question cannot — Solution | TheCATExam