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.

What may be the possible weight of R?

The correct option is 39kg.

Step-by-Step Explanation:

Let us analyze the given information to arrange the six persons in descending order of their weight from left to right (Position 1 being the heaviest and Position 6 being the lightest):

1. "Six persons are arranged in descending order according to their weight from left to right."

We have 6 positions: 1 > 2 > 3 > 4 > 5 > 6.

2. "Only T is lighter than Q whose weight is 17kg."

This means Q is at position 5 (the second lightest), and T is at position 6 (the lightest).

So, Weight of Q = 17 kg.

The arrangement so far: _ > _ > _ > _ > Q (17kg) > T.

3. "S is twice heavier than Q and 14 kg lighter than N."

Weight of S = 2 × Weight of Q = 2 × 17 kg = 34 kg.

Weight of S = Weight of N - 14 kg

34 kg = Weight of N - 14 kg

Weight of N = 34 kg + 14 kg = 48 kg.

4. "Two persons between M and S."

Positions available for the first 4 persons are 1, 2, 3, and 4.

Since there are two persons between M and S among the remaining positions 1, 2, 3, and 4, M and S must occupy positions 1 and 4 (or vice versa).

Since Weight of N = 48 kg, Weight of S = 34 kg, and Q = 17 kg, S must be placed at position 4 to keep N heavier than S.

Therefore, M is at position 1 and S is at position 4.

The arrangement so far: M > _ > _ > S (34kg) > Q (17kg) > T.

5. "R is not the second heaviest among all."

The remaining positions are 2 and 3, and the remaining persons are N (48 kg) and R.

Position 2 is the second heaviest position. Since R is not at position 2, N must be at position 2 and R must be at position 3.

Final Weight Arrangement (from heaviest to lightest):

1. M

2. N (48 kg)

3. R

4. S (34 kg)

5. Q (17 kg)

6. T

Determining the Possible Weight of R:

From the arrangement, R's weight lies between N and S.

$34\text{kg}<\text{Weight of R}<48\text{kg}$

Looking at the options:

- 18kg (less than 34kg)

- 39kg (lies between 34kg and 48kg)

- 30kg (less than 34kg)

- 22kg (less than 34kg)

Thus, the possible weight of R is 39kg.