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:
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
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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