CAT 2003 Slot 1 — QA Question 24
Each question is followed by two statements, A and B. Answer each question using the following instructions
Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose 2 if the question can be answered by using either of the statements alone.
Choose 3 if the question can be answered by using both statements together but not by either statement alone.
Choose 4 if the question cannot be answered on the basis of the two statements.
Each question is followed by two statements, A and B. Answer each question using the following instructions
Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose 2 if the question can be answered by using either of the statements alone.
Choose 3 if the question can be answered by using both statements together but not by either statement alone.
Choose 4 if the question cannot be answered on the basis of the two statements.
Is
A. −3 ≤ a ≤ 3
B. One of the roots of the equation 4x2 − 4x + 1 = 0 is a
Answer & solution
1
- B
2
- C
3
- D
4
R.H.S. and L.H.S. are infinite GP's with common ratio = .
∴ We need to find whether
...(i)
This statement (i) is always true for a < 1.
Using statement A alone:
It does not give any conclusion regarding value of a i.e. whether it is less than 1 or not.
So, statement A alone is not sufficient to answer the question.
Using statement B alone:
4a2 − 4a + 1 = 0 …(ii)
∴ a = 1/2
So, statement B alone is sufficient to answer the question.
Hence, option (a).