Directions: Read the given information carefully and answer the...

Following the common explanation, we get "9m".

From direction diagram, the distance between R3 and S4 (lightest person) is 9m (6m + 3m = 9m)

Hence, option B is correct.

Final image:

Common Explanation

References:

Six students namely P1, Q2, R3, S4, T5 and U6 are standing in different directions in a playground.

T5, who is 4m to the east of R3, is heavier than only two persons.

T5 is 6m north of U6.

P1, who is the heaviest among all, is standing 4m to the west of Q2.

Both R3 and U6, who is standing 5m northeast of S4, are heavier than the person who is standing nearest to R3.

S4 is 3m south of Q2.

P1, Q2 and U6 are horizontally in line.

Inferences:

From above statements,

Statements are taken to refer the direction of all students

T5 is 4m to the east of R3.

T5 is 6m north of U6.

P1 is standing 4m to the west of Q2.

U6 is standing 5m northeast of S4.

S4 is 3m south of Q2.

P1, Q2 and U6 are horizontally in line.

Now given, P1, Q2 and U6 are horizontally in line.

To find the distance between Q2 and U6:

5² − 3² = 25 − 9 = 16 = 4 m

Therefore Q2 is standing 4m west to U6 and Q2 is 6m south to R3. By combining both directions we get the complete directions of all students as shown below.

References:

Each of these persons has different weight.

T5, who is 4m to the east of R3, is heavier than only two persons.

P1, who is the heaviest among all, is standing 4m to the west of Q2.

Q2 is lighter than T5 but not the lightest.

Both R3 and U6, who is standing 5m northeast of S4, are heavier than the person who is standing nearest to R3.

Inferences:

From above statements,

Statements are taken to refer the weight of all students

Let the position of heaviest to lightest person is numbered as 1 to 6.

Given, T5 is heavier than only two persons. Therefore T5 is the 4^th heaviest person.

Given, P1 is the heaviest person.

Given, Q2th heaviest person.

Given, R3 and U6 are heavier than the person who is standing nearest to R3. From direction the nearest person to R3 is T5. Therefore R3 and U6 are heavier than T5 i.e. 2^nd and 3^rd heaviest persons (not in same order). Finally S4 is the lightest person among all students

By using above all information we get the complete arrangement is shown in decreasing order from left end.