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
Among 5 friends, P, Q, R, S and T, each having different weights, who is the lightest? I: P is heavier than Q but lighter than T. R is heavier than T. II: S is lighter than P but heavier than Q.
Data in statement I alone is sufficient
Data in statement II alone is sufficient
Data in both statements together are required
Data in either statement alone is sufficient
Data in both statements together are required
Represent the weight hierarchy using inequality symbols and integrate the statements to see if a single person occupies the lowest rank.
Represent the weight hierarchy using inequality symbols and integrate the statements to see if a single person occupies the lowest rank.
Analyze Statement I
From P > Q and T > P, we get T > P > Q. Adding R > T, the sequence is R > T > P > Q. Here, Q is the lightest, but the position of S is unknown, so I alone is insufficient.
Analyze Statement II
From S > Q and P > S, we get P > S > Q. The positions of R and T are unknown, so II alone is insufficient.
Combine Statements I and II
Combining the findings: R > T > P and P > S > Q. This results in the complete order R > T > P > S > Q. We can now clearly identify that Q is the lightest.
A: Statement I is insufficient because S's position is unknown. B: Statement II is insufficient because R and T are missing. D: Either statement alone cannot define the position of all 5 members relative to the lightest weight.
C is correct because both statements are required to establish a complete weight chain of 5 individuals, confirming Q is the lightest.
In ranking-based data sufficiency questions, always check if all variables mentioned in the question are accounted for in the combined statements before concluding.
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