CAT 2000 — QA Question 62
Choose 1; if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
Choose 2; if the question can be answered by using either statement alone.
Choose 3; if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4; if the question cannot be answered even by using both statements together.
O is the centre of two concentric circles. ae is a chord of the outer circle and it intersects the inner circle at point; b and d. c is a point on the chord in between b and d. What is the value of ac/ce?
- bc/cd = 1
- A third circle intersects the inner circle at b and d and the point c is on the line joining the centres of the third circle and the inner circle.
Answer & solution
Correct answer: 2
- A
1
2
- C
3
- D
4
From statement A
bc = cd
If c is the midpoint of bd it would also be midpoint of ae because circles are concentric.
∴ ac = ce
∴ The question can be answered using statement A alone.
From Statement B
If c is the point on the line joining the two centres, it has to bisect the chord bd.
∴ c will also bisect the chord ae as the circles are concentric.
∴ ac = ce
∴ The question can be answered using statement B alone also.
Hence, option (b).