CAT 2025 Lesson : Interpretative Tables - Case 1

Answer questions 1 to 4 based on the following information:

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.
[CAT 2005]

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.

(1) If Statement 1 is true then Statement 2 is necessarily true.
(2) If Statement 1 is true then Statement 2 is necessarily false.
(3) Both Statement 1 and Statement 2 are true.
(4) 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.

(1) If Statement 2 is true then Statement 1 is necessarily false.
(2) If Statement 1 is false then Statement 2 is necessarily true.
(3) If Statement 1 is true then Statement 2 is necessarily true.
(4) 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.

(1) Both statements could be true.
(2) At least one of the statements must be true.
(3) At most one of the statements is true.
(4) None of the above.

4) If Profitable Ltd.’s lowest revenue is from UP, then which of the following is true?

(1) Truthful Ltd.’s lowest revenues are from MP.
(2) Truthful Ltd.’s lowest revenues are from Bihar.
(3) Truthful Ltd.’s lowest revenues are from UP.
(4) No definite conclusion is possible.

Solution

Case Solution:
Since the given table deals with the aggregate revenues of the firms, we can find the total revenue of all the firms.



Based on statement 1, Truthful Ltd. can be firm A or C because they have the highest revenue of MP in common.

Based on statement 2, Aggressive Ltd. and Honest Ltd. can be in the following combinations - Firms (A, D) / (D, A) / (B, C) / (C, B)

From the inference of the above, Truthful Ltd. and Profitable Ltd. can be in the following combinations Firms – (A, D) / (C, B)

1)
For answering these type of questions we have to use a table to represent the data given.



Statement 2 will be false because Profitable Ltd.'s revenue (217) can't be lesser than Honest Ltd.'s revenue (190 / 185).

Therefore, if statement 1 is true then statement 2 is necessarily false.

Answer: (2) If statement 1 is true then statement 2 is necessarily false.

2)


Both the statements as said in the case solution conclude that if Aggressive Ltd is the firm B then Honest Ltd should be the firm C. (B, C)
Therefore, if statement 1 is true then statement 2 is necessarily true.

Answer: (3) If statement 1 is true then statement 2 is necessarily true.

3)


From the above table, both the statements can't be true. But one of the two can be true which is stated in option 3.

Answer: (3) At most one of the statements is true.

4)


Based on the Table Interpretation,



From the above, it is clear that firm A is Truthful Ltd. and it has the lowest revenue from UP.

Answer: (3) Truthful Ltd.’s lowest revenues are from UP.

Answer:
1) (2) If Statement 1 is true then Statement 2 is necessarily false.
2) (3) If Statement 1 is true then Statement 2 is necessarily true.
3) (3) At most one of the statements is true.
4) (3) Truthful Ltd.’s lowest revenues are from UP.