Q. Consider two Statements and a Question:
Statement-1: Each of A and D is heavier than each of B, E and F, but one of them is the heaviest.
Statement-2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A, B, C, D and E?
Which one of the following is correct in respect of the Statements and the Question?
(a) Statement-1 alone is sufficient to answer the Question
(b) Statement-2 alone is sufficient to answer the Question
(c) Both Statement-1 and Statement-2 are required to answer the Question
(d) Neither Statement-1 alone nor Statement-2 alone is sufficient to answer the Question
Correct Answer: (c) Both Statement-1 and Statement-2 are required to answer the Question
Question from UPSC Prelims 2021 CSAT Paper
Explanation :Â
Finding the Heaviest Person Between A, B, C, D, E
Analysis of Statement 1:
– Tells us either A or D is heaviest among A, B, E, and F
– No information about C
– Cannot determine the answer alone
Analysis of Statement 2:
– Tells us C is heavier than A
– No information about how C compares to B, E, F, or D
– Cannot determine the answer alone
Combining Both Statements:
1. From Statement 1:
– Either A or D is heaviest among A, B, E, F
2. From Statement 2:
– C is heavier than A
– C is heavier than D
3. Combined Logic:
– If C is heavier than both A and D
– And A or D was heaviest among A, B, E, F
– Then C must be heaviest among all (A, B, C, D, E)
Conclusion:
Both statements are necessary to conclude that C is the heaviest.
