Study the information carefully answer the questions given below

Six persons P , Q, R, S, T and U in a family have different weights. The third heaviest person weight is 40kg.
Q’s weight is in odd number and is lighter than S but heavier than R. The number of persons lighter than S is one more than P . T is heavier than R and U. T is 20kg more than P who is heavier than Q. The second lightest person is not Q.

The numbers of persons heavier than P is same as the numbers of persons lighter than _______.

The correct option is Q.

Let us analyze the given information step-by-step to determine the order of weights for the six persons: P, Q, R, S, T, and U.

Step 1: Understand the total number of persons and positions

There are 6 persons in total. Let us rank them from heaviest to lightest, from position 1 (heaviest) to position 6 (lightest):
Position 1 > Position 2 > Position 3 > Position 4 > Position 5 > Position 6

Step 2: Analyze the conditions related to S and P

The problem states: "The number of persons lighter than S is one more than P."
Here, "P" refers to the number of persons lighter than P. So, (number of persons lighter than S) = (number of persons lighter than P) + 1.
This means S is heavier than P, and there is exactly one position between S and P or S is placed one rank above P in terms of persons lighter than them.

Also, we are given:
- "P who is heavier than Q" ⇒ P > Q
- "Q’s weight is in odd number and is lighter than S but heavier than R" ⇒ S > Q > R
- "T is heavier than R and U" ⇒ T > R and T > U
- "T is 20kg more than P who is heavier than Q" ⇒ T > P
- "The second lightest person is not Q" ⇒ Q is not at position 5.

Step 3: Determine the exact arrangement

From T > P, S > P, P > Q, and Q > R:
P is heavier than Q and R.
Since P > Q and Q > R, and Q is not the second lightest (position 5), Q must be placed further up or R/U must fill the lightest positions.

Let's check the placement of persons from heaviest to lightest:
1. T is heavier than P (T = P + 20 kg).
2. S has one more person lighter than it than P does, which means S > P.
3. Since the third heaviest person is 40 kg, let's arrange them in order:
T > S > P > Q > R > U or S > T > P > Q > R > U

Let's verify the positions for T > S > P > Q > R > U:
- Position 1: T
- Position 2: S
- Position 3: P (Weight = 40 kg)
- Position 4: Q
- Position 5: R (Second lightest)
- Position 6: U (Lightest)

Let's check all given conditions with this arrangement:
1. Third heaviest person is P with weight 40kg.
2. T = P + 20kg = 60kg, which satisfies T > S and T > P.
3. Number of persons lighter than P is 3 (Q, R, U).
4. Number of persons lighter than S is 4 (P, Q, R, U), which is one more than 3. (Satisfied!)
5. Q is lighter than S and heavier than R (S > Q > R). (Satisfied!)
6. Second lightest person is R, which is not Q. (Satisfied!)
7. T is heavier than R and U. (Satisfied!)

Step 4: Answer the specific question

We need to find the person such that: "The number of persons heavier than P is the same as the number of persons lighter than _______."

- Number of persons heavier than P (T and S) = 2 persons.
- We need to find who has exactly 2 persons lighter than them.
- Looking at our order (T > S > P > Q > R > U), the persons lighter than Q are R and U, which is exactly 2 persons.

Therefore, the number of persons heavier than P is the same as the number of persons lighter than Q.