Firm Revenues across Three States
CAT 2005 Slot 1 · Data Interpretation & Logical Reasoning · Medium · DILR
This is a medium Data Interpretation & Logical Reasoning question set from the CAT 2005 Slot 1 paper. It tests DILR. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
Passage / data set
Revenues (in million rupees) of four firms (Honest, Aggressive, Truthful, Profitable) in UP, Bihar, and MP disguised as A, B, C, D:
| State | Firm A | Firm B | Firm C | Firm D |
|---|---|---|---|---|
| UP | 49 | 82 | 80 | 55 |
| Bihar | 69 | 72 | 70 | 65 |
| MP | 72 | 63 | 72 | 65 |
| Total | 190 | 217 | 222 | 185 |
Clues:
- In MP, Truthful Ltd. has highest market share (72).
- Aggressive Ltd.'s aggregate revenue differs from Honest Ltd.'s by Rs. 5 million.
Question 1 of 4
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.
B
Explanation
If St 1 is true, Profitable is B (lowest in MP = 63). Then A & D are Aggressive and Honest. Honest's total revenue (190 or 185) would be less than Profitable's (217). Thus Statement 2 is necessarily false.
Question 2 of 4
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.
C
Explanation
If St 1 is true, Aggressive is B (lowest revenue in MP = 63). Then Honest must be C (differs by 5 million: 222 vs 217). Honest (C) has lowest revenue in Bihar (70). Thus Statement 2 is necessarily true.
Question 3 of 4
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.
C
Explanation
Highest in UP is B (82). Highest in Bihar is B (72). Both statements assign firm B to different companies, which is impossible. Thus at most one statement can be true.
Question 4 of 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.
C
Explanation
If Profitable's lowest is from UP, Profitable can be A or D (lowest in UP). Then Truthful is D or A, both of which have their lowest revenue in UP (49 or 55). So Truthful's lowest revenue is definitely from UP.
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