Honest, Aggressive, Truthful and Profitable Ltd.

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(CAT 2005)

The table below presents the revenue (in million rupees) of four firms in three states. These firms, Honest Ltd., Aggressive Ltd., Truthful Ltd. and Profitable Ltd. are disguised in the table as A, B, C and D, in no particular order.



Further, it is known that:
• In the state of MP, Truthful Ltd. has the highest market share.
• Aggressive Ltd.’s aggregate revenue differs from Honest Ltd.’s by Rs. 5 million.

1. What can be said regarding the following two statements?
Statement 1: Profitable Ltd. has the lowest share in MP market.
Statement 2: Honest Ltd.’s total revenue is more than Profitable Ltd.
a. If Statement 1 is true then Statement 2 is necessarily true.
b. If Statement 1 is true then Statement 2 is necessarily false.
c. Both Statement 1 and Statement 2 are true.
d. Neither Statement 1 nor Statement 2 is true.

2. What can be said regarding the following two statements?
Statement 1: Aggressive Ltd.’s lowest revenues are from MP.
Statement 2: Honest Ltd.’s lowest revenues are from Bihar.
a. If Statement 2 is true then Statement 1 is necessarily false.
b. If Statement 1 is false then Statement 2 is necessarily true.
c. If Statement 1 is true then Statement 2 is necessarily true
d. None of the above.

3. What can be said regarding the following two statements?
Statement 1: Honest Ltd. has the highest share in the UP market.
Statement 2: Aggressive Ltd. has the highest share in the Bihar market.
a. Both statements could be true.
b. At least one of the statements must be true.
c. At most one of the statements is true.
d. None of the above.

4. If Profitable Ltd.’s lowest revenue is from UP, then which of the following is true?
a. Truthful Ltd.’s lowest revenues are from MP.
b. Truthful Ltd.’s lowest revenues are from Bihar.
c. Truthful Ltd.’s lowest revenues are from UP.

d. No definite conclusion is possible.


For answers click here.

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