Comprehension
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
| States | Firm A | Firm B | Firm C | Firm D |
|---|---|---|---|---|
| UP | 49 | 82 | 80 | 55 |
| Bihar | 69 | 72 | 70 | 65 |
| MP | 72 | 63 | 72 | 65 |
Additional Information:
- 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.
Question: 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.
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.
Statement 1: Profitable Ltd. has the lowest share in MP market.
Statement 2: Honest Ltd.’s total revenue is more than Profitable Ltd.
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When two statements are linked, test consistency by fixing one as true and tracing its effect on the other using given data.
Updated On: Jul 31, 2025
- If Statement 1 is true then Statement 2 is necessarily true.
- If Statement 1 is true then Statement 2 is necessarily false.
- Both Statement 1 and Statement 2 are true.
- Neither Statement 1 nor Statement 2 is true.
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The Correct Option is A
Solution and Explanation
From the table, Truthful Ltd. has the highest MP revenue (72). If Profitable Ltd. has the lowest MP share, its MP revenue must be 63. Honest Ltd. will then have MP revenue 65. Summing across states, Honest Ltd.’s total would exceed Profitable Ltd.’s, hence Statement 2 follows if Statement 1 is true.
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Question: 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.
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.
Statement 1: Aggressive Ltd.’s lowest revenues are from MP.
Statement 2: Honest Ltd.’s lowest revenues are from Bihar.
Show Hint
When checking "necessarily" in logical reasoning, ensure that the truth of one statement forces the truth/falsity of the other in all valid scenarios.
Updated On: Jul 31, 2025
- If Statement 2 is true then Statement 1 is necessarily false.
- If Statement 1 is true then Statement 2 is necessarily true.
- If Statement 1 is true then Statement 2 is necessarily false.
- None of the above.
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The Correct Option is D
Solution and Explanation
From the data constraints, both statements are conditionally possible. No definitive necessity link exists between the two; multiple assignments of firms to revenues satisfy the conditions without enforcing a fixed truth relation between Statement 1 and Statement 2.
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Question: 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.
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.
Statement 1: Honest Ltd. has the highest share in the UP market.
Statement 2: Aggressive Ltd. has the highest share in the Bihar market.
Show Hint
For "could be true" checks, it is enough to find at least one consistent arrangement of data satisfying both statements.
Updated On: Jul 31, 2025
- Both statements could be true.
- At least one of the statements must be true.
- At most one of the statements is true.
- None of the above.
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The Correct Option is A
Solution and Explanation
UP’s highest revenue is 82, Bihar’s is 72. With firm assignments still flexible under constraints, it is possible to have Honest Ltd. as the firm with 82 in UP and Aggressive Ltd. with 72 in Bihar, satisfying both statements. No contradiction arises.
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Question: 4
If Profitable Ltd.’s lowest revenue is from UP, then which of the following is true?
If Profitable Ltd.’s lowest revenue is from UP, then which of the following is true?
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If multiple consistent data assignments lead to different answers for a statement, the correct conclusion is "No definite conclusion is possible".
Updated On: Jul 31, 2025
- Truthful Ltd.’s lowest revenues are from MP.
- Truthful Ltd.’s lowest revenues are from Bihar.
- Truthful Ltd.’s lowest revenues are from UP.
- No definite conclusion is possible.
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The Correct Option is D
Solution and Explanation
Even fixing Profitable Ltd. to have its lowest in UP does not uniquely determine the lowest revenue state for Truthful Ltd., as multiple assignments remain possible under constraints, leading to different minima for Truthful Ltd.
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