Question Details

Study the following information carefully and answer the questions given below:

Six persons are arranged in descending order according to their weight from left to right. Only T is lighter than Q whose weight is 17kg. S is twice heavier than Q and 14 kg lighter than N. Two persons between M and S. R is not the second heaviest among all.

Who is the heaviest among all?

Options

A

N

B

Either N or R

C

R

D

M

E

Either M or N

Show Answer

Correct Answer :

Option D

M

Solution :

The correct answer is M.

Let us determine the descending order of the six persons from left to right (from heaviest to lightest) step-by-step based on the given information:
Let the positions from left to right be represented as:
1 > 2 > 3 > 4 > 5 > 6 (where 1 is the heaviest and 6 is the lightest).

Step 1: Position of Q and T
We are given that "Only T is lighter than Q". This means Q is in the 5th position and T is in the 6th (lightest) position.
So, the arrangement is:
_ > _ > _ > _ > Q > T
The weight of Q is given as 17 kg.

Step 2: Calculate weights of S and N
S is twice heavier than Q:
Weight of S = 2 × 17 = 34 kg
S is 14 kg lighter than N, which means N is 14 kg heavier than S:
Weight of N = 34 + 14 = 48 kg

Step 3: Positions of M and S
We are given that there are "Two persons between M and S". The remaining positions for M and S are 1, 2, 3, and 4. The only way to have exactly two persons between them is if they occupy positions 1 and 4.
Since N is heavier than S (48 kg > 34 kg), S cannot be at position 1 (the heaviest position). Therefore, S must be at position 4, and M must be at position 1.
The arrangement now is:
M > _ > _ > S > Q > T

Step 4: Positions of N and R
The remaining two positions are 2 and 3, which must be occupied by N and R. We are given that "R is not the second heaviest among all" (position 2 is the second heaviest position). Thus, R cannot be at position 2. This leaves position 3 for R and position 2 for N.
The final descending order of weights is:
M (Heaviest) > N (48 kg) > R > S (34 kg) > Q (17 kg) > T (Lightest)

Comparing all positions, we find that M is the heaviest among all.

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