CAT 2003 Slot 1 — QA Question 53
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.
In each question there are two statements: A and B.
Choose 1 if the question can be answered by one of the statements alone but not by the other.
Choose 2 if the question can be answered by using either statement alone.
Choose 3 if the question can be answered by using both the statements together but cannot be answered using either statement alone.
Choose 4 if the question cannot be answered even by using both the statements A and B.
If A and B run a race, then A wins by 60 seconds. If B and C run the same race, then B wins by 30 seconds. Assuming that C maintains a uniform speed, what is the time taken by C to finish the race?
A. A and C run the same race and A wins by 375 metres.
B. The length of the race is 1 km.
Answer & solution
- A
1
- B
2
3
- D
4
From the question, if A and C participate in a race, A will win by 90 seconds.
From statement A,
âµ A beats C by 375 m or 90 sec.
∴ C's speed =
But the length of the track is not known.
∴ Statement A is not sufficient to find the time taken by C to complete the race.
From Statement B we cannot find the speed of C.
∴ Statement B alone is not sufficient.
After combining both the statements A and B, the time taken by C to complete the race
= 240 sec
Hence, option (c).