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?
Correct Answer :
M
Solution :
The correct answer is Option 4: M.
Let's analyze the given information step-by-step to arrange the six persons in descending order of their weight from left to right (from position 1 to position 6, where position 1 is the heaviest and position 6 is the lightest).
Step 1: Understand the positions and weights of Q, T, S, and N.
1. "Six persons are arranged in descending order according to their weight from left to right."
Let the positions from heaviest to lightest be:
1 > 2 > 3 > 4 > 5 > 6
2. "Only T is lighter than Q whose weight is 17kg."
This means Q is at position 5, and T is at position 6 (the lightest person).
Weight of Q = 17 kg.
So, the order so far is: _ > _ > _ > _ > Q (17 kg) > T
3. "S is twice heavier than Q..."
Weight of S = 2 × 17 kg = 34 kg.
4. "...and 14 kg lighter than N."
Weight of N = Weight of S + 14 kg = 34 kg + 14 kg = 48 kg.
Since N is heavier than S, and both are heavier than Q (17 kg), N must be placed to the left of S.
Step 2: Determine the placement of M, S, N, and R.
1. "Two persons between M and S."
Since Q and T occupy positions 5 and 6, S can be placed at position 4 or earlier.
If S is at position 4:
Two persons between M and S would place M at position 1 (since positions 2 and 3 are between position 1 and position 4).
So, M is at position 1, and S is at position 4.
2. Now, we have positions 2 and 3 remaining for N and R.
Since Weight of N = 48 kg and Weight of S = 34 kg, N must be heavier than S, so N must occupy position 2 or position 3.
We are given: "R is not the second heaviest among all."
This means R cannot be at position 2.
Therefore, N must be at position 2 (the second heaviest), and R must be at position 3.
Step 3: Final arrangement and verification.
The complete arrangement from heaviest to lightest is:
1. M (Heaviest)
2. N (48 kg)
3. R
4. S (34 kg)
5. Q (17 kg)
6. T (Lightest)
All conditions given in the problem statement are fully satisfied:
- Only T is lighter than Q.
- S (34 kg) is twice heavier than Q (17 kg) and 14 kg lighter than N (48 kg).
- There are two persons (N and R) between M and S.
- R is at position 3, which means R is not the second heaviest.
Hence, M is the heaviest among all.
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