CAT 2005 — DILR Question 23
Answer the following question based on the information given below.
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.
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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.
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.
Answer & solution
- A
If Statement 1 is true then Statement 2 is necessarily true.
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.
Truthful Ltd. has the highest market share in MP.
Thus Truthful Ltd. could be Firm A or Firm C.
Aggregate revenues of Firms A, B, C and D are 190, 217, 222 and 185 (in million rupees) respectively.
Thus, Aggressive Ltd. and Honest Ltd. could be A and D or B and C in some order.
Case 1: Truthful Ltd. = A
Aggressive Ltd. and Honest Ltd. = B and C
Profitable Ltd. = D
Case 2: Truthful Ltd. = C
Aggressive Ltd. and Honest Ltd. = A and D
Profitable Ltd. = B
If statement 1 is true, then Firm B is profitable Ltd., which means that Honest Ltd. is Firm A or D.
But, the total revenue of Firms A and D each is lesser than that of firm B.
Thus, if statement 1 is true, statement 2 is necessarily false.
Hence, option (b).