Given below is a question followed by two statements numbered (I) and (II),…
2023
Given below is a question followed by two statements numbered (I) and (II), each containing some information. Decide which of the statements is/are sufficient to answer the question. Who is the tallest among six persons G, N, P, S. T and Q having different height ? Statement (I): Only two persons are shorter than 'Q' and height of only two persons lies between the height of 'Q' and 'S'. Statement (II) P is shorter than S but taller than T.
- A.
Both the Statements (I) and (II) together are necessary to answer the question.
- B.
Both the Statements (I) and (II) together are not sufficient to answer the question.
- C.
The Statement (1) alone is sufficient to answer the question while the Statement (II) alone is not sufficient to answer the question.
- D.
The Statement (II) alone is sufficient to the question while the Statement (1) alone is not sufficient to answer answer the question.
Attempted by 67 students.
Show answer & explanation
Correct answer: C
Answer: The first statement alone is sufficient; the second statement alone is not sufficient.
Interpret the first statement: "Only two persons are shorter than Q." This means Q is third from the bottom (there are two people shorter than Q).
Also from the first statement: "Only two persons lie between Q and S." That means there are exactly two people between Q and S, so S is three positions away from Q.
With Q at position 3 from the bottom, moving three positions higher places S at position 6 (the top). Therefore S is the tallest.
The second statement alone states only that P is shorter than S but taller than T. This gives a partial order among P, S and T but does not identify the tallest person among all six.
Conclusion: The information in the first statement is sufficient to determine the tallest person (S); the second statement is insufficient on its own.