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
Five students P, Q, R, S and T have different weights. P is heavier than only two students. R is heavier than S but lighter than Q. T is not the heaviest. Who is the second lightest?
P
Q
R
S
S
Assign positions 1 to 5 from heaviest to lightest and anchor P at position 3, then insert the Q-R-S chain to satisfy all constraints.
Assign positions 1 to 5 from heaviest to lightest and anchor P at position 3, then insert the Q-R-S chain to satisfy all constraints.
Establish the skeleton
There are 5 students. P is heavier than only two students. This means P occupies the 3rd position (1st=heaviest, 5th=lightest). So, the order is: _ > _ > P > _ > _.
Incorporate the chain Q > R > S
We are given R > S and Q > R, forming the chain Q > R > S. Since P is at 3rd, and T is not the heaviest, Q must be at 1st, R at 2nd, and S at 4th, or Q at 1st, R at 2nd and P at 3rd. With P fixed at 3, the remaining positions are 1, 2, 4, 5. The chain Q-R-S must fit into these. Putting Q at 1, R at 2, and S at 4, leaves 5 for T. Order: Q > R > P > S > T.
Verify Constraints
Order Q(1), R(2), P(3), S(4), T(5). P is heavier than S and T (2 students) - Correct. R > S and R < Q - Correct. T is not the heaviest - Correct. The lightest is T, the second lightest is S.
A: P is the 3rd heaviest/lightest. B: Q is the heaviest. C: R is the 2nd heaviest.
D is correct because based on the constraints, the order from heaviest to lightest is Q, R, P, S, T, making S the second lightest.
In ranking puzzles, always identify the fixed position first (like P being heavier than only two others) to create an anchor before placing the remaining variables.