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P, Q, R, S, T, U and V are sitting in a row facing South. S is on the immediate left of R. Q is at an extreme end and has T as his neighbor. S is sitting fifth from the left. V is between U and T. Which of the following must be true?

(A) P is sitting on the extreme right.

(B) There are four people sitting between R and T.

(C) U is an immediate neighbor of S.

(D) P is sixth from the left.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 2

Given information:

  • 7 people: P, Q, R, S, T, U, V sitting in a row facing South
  • S is on the immediate left of R
  • Q is at an extreme end and has T as his neighbor
  • S is sitting fifth from the left
  • V is between U and T

Let the positions be numbered 1 to 7 from left to right.


From "S is sitting fifth from the left":

Position 5: S

From "S is on the immediate left of R":

Position 5: S

Position 6: R


From "Q is at an extreme end and has T as his neighbor":

Q must be at position 1 or position 7.

If Q is at position 7, then T would be at position 6. But position 6 is already occupied by R.

Therefore, Q is at position 1 and T is at position 2.

Position 1: Q

Position 2: T

Position 5: S

Position 6: R


From "V is between U and T":

Since T is at position 2, the arrangement must be T...V...U (in that order from left to right).

Remaining positions: 3, 4, 7

Remaining people: P, U, V

Since V must be between T and U, we have:

Position 3: V

Position 4: U

Position 7: P


Final arrangement:

Position 1: Q | Position 2: T | Position 3: V | Position 4: U | Position 5: S | Position 6: R | Position 7: P


Evaluating each statement:

(A) P is sitting on the extreme right - P is at position 7 (extreme right). TRUE

(B) There are four people sitting between R and T - R is at position 6, T is at position 2. Between them are V, U, and S (3 people). FALSE

(C) U is an immediate neighbor of S - U is at position 4, S is at position 5 (adjacent). TRUE

(D) P is sixth from the left - P is at position 7. FALSE

Only statements (A) and (C) are true.

Therefore, the correct answer is Option 2: (A) and (C) only.

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