CAT 2007 — QA Question 18
Answer the next 2 questions based on the information given below.
Let a1 = p and b1 = q, where p and q are positive quantities.
Define:
an = pbn−1 bn = qbn−1, for even n > 1 and
an = pan − 1 bn = qan − 1, for odd n > 1.
Each question is followed by two statements A and B. Answer each question using the following instructions.
Mark (1) if the question can be answered by using statement A alone but not by using statement B alone.
Mark (2) if the question can be answered by using statement B alone but not by using statement A alone.
Mark (3) if the question can be answered by using both the statements together but not by using either of the statements alone.
Mark (4) if the question cannot be answered on the basis of the two statements.
Rahim plans to draw a square JKLM with a point O on the side JK but is not successful. Why is Rahim unable to draw the square?
A. The length of OM is twice that of OL.
B. The length of OM is 4 cm.
Answer & solution
1
- B
2
- C
3
- D
4
- E
5
Let p be the side of square JKLM.
From Statement A,
OM = 2 × OL
OM is maximum when it is the diagonal of the square and has length
When OM is maximum,
∴ OM ≠ 2 × OL if O lies on JK.
∴ Rahim is unable to draw the square.
Statement B offers no additional or relevant information.
Hence, option (a).