CAT 2008 — QA Question 22
Answer the following question based on the information given below.
Five horses, Red, White, Grey, Black and Spotted participated in a race. As per the rules of the race, the persons betting on the winning horse get four times the bet amount and those betting on the horse that came in second get thrice the bet amount. Moreover, the bet amount is returned to those betting on the horse that came in third, and the rest lose the bet amount. Raju bets Rs. 3000, Rs. 2000 Rs. 1000 on Red, White and Black horses respectively and ends up with no profit and no loss.
Suppose, in addition, it is known that Grey came in fourth. Then which of the following cannot be true?
Answer & solution
- A
Spotted came in first
- B
Red finished last
White came in second
- D
Black came in second
- E
There was one horse between Black and White
We solve this question by options.
If we consider option (c) to be true, then White finishes second and one of the Red or Black horses will come in the first or third positions.
With White at the second position, the amount Raju receives at the end of the race will be at least Rs. 6000, and from Red or Black he will earn some money.
Therefore, the total money Raju receives will be more than Rs. 6000. Since his investment at the start of the race was only Rs. 6000, his profit could never be zero.
∴ Option (c) cannot be true.
Hence, option (c).