Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question.
Question: Five friends, S, T, U, V and W, are of different ages. Who is the second eldest among them? Statements: (I) W is younger than T. W is elder than U. (II) T is the eldest. Only one person is younger than V.
Data in statements I and II together are not sufficient to answer the question.
Data in statements I and II together are sufficient to answer the question.
Data in statement I alone is sufficient to answer the question while data in statement II is not.
Data in statement II alone is sufficient to answer the question while data in statement I is not.
Data in statement II alone is sufficient to answer the question while data in statement I is not.
Statement II directly names the eldest (T) and second youngest (V), leaving positions 2 and 3 for the remaining 3 people without fixed order. Statement I alone does not specify who is eldest. Combined, statement I (T > W > U) and II give T > W > U/V > U/V > S, pinpointing W as 2nd eldest.
Statement II directly names the eldest (T) and second youngest (V), leaving positions 2 and 3 for the remaining 3 people without fixed order. Statement I alone does not specify who is eldest. Combined, statement I (T > W > U) and II give T > W > U/V > U/V > S, pinpointing W as 2nd eldest.
Analyze Statement (I) Alone
Statement I gives: W is younger than T (T > W) and W is elder than U (W > U). Thus, T > W > U. However, the positions of S and V are unknown. S or V could be older than T or between T and W. Therefore, Statement I alone is not sufficient.
Analyze Statement (II) Alone
Statement II gives: T is the eldest (Rank 1). Only one person is younger than V, which means V is the 2nd youngest (Rank 4 out of 5). This leaves ranks 2, 3, and 5 for S, U, and W. Without further info, any of S, U, or W could be 2nd eldest. Therefore, Statement II alone is not sufficient.
Combine Statements (I) and (II)
From Statement II: Rank 1 = T, Rank 4 = V. From Statement I: T > W > U. Since T is at Rank 1 and W must be older than U, W and U must occupy ranks 2 and 3 respectively to preserve T > W > U. S takes the remaining Rank 5. The full sequence from eldest to youngest is T > W > U > V > S. Thus, W is uniquely identified as the second eldest.
A: Incorrect because statements I and II together fully solve the order and identify W as second eldest. C: Incorrect because statement I alone leaves the positions of S and V completely flexible. D: Incorrect because statement II alone leaves ranks 2, 3, and 5 unassigned among S, U, and W.
B is correct because combining both statements uniquely establishes the complete age hierarchy T > W > U > V > S, identifying W as the second eldest.
In Data Sufficiency age ranking questions, always test each statement independently by attempting to draw multiple valid orders. If a statement allows more than one person in the target rank, it is insufficient on its own.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants