Directions: Read the following information carefully and answer the questions given below:
Nine boxes - P, Q, R, S, T, U, V, W, and X are kept one above another in a single stack, but not necessarily in the same order. Only one box is kept between box S and box U. Box R is kept three boxes above box T. Box S is kept four boxes below box R. As many boxes are kept between box R and box P as between box S and box U. Box S is kept above box V. Box Q is kept immediately below box U. Only two boxes are kept between box X and box V. Box W is kept above box P.
If box W is related to box S in a similar way box P is related to box V, then which among the following boxes is related to box T?
Correct Answer :
Box U
Solution :
The correct answer is Box U.
Step-by-step Explanation:
1. Analyzing the given clues to build the stack layout (from Position 1 at the top to Position 9 at the bottom):
• Clue 1: Box R is kept three boxes above Box T. (This means if Box R is at position x, Box T is at position x + 3).
• Clue 2: Box S is kept four boxes below Box R. (Box S is at position x + 4).
• Clue 3: Only one box is kept between Box S and Box U. (Box U is 2 positions away from S).
• Clue 4: Box Q is kept immediately below Box U. (Position of Box Q = Position of Box U + 1).
• Clue 5: As many boxes are kept between Box R and Box P as between Box S and Box U. Since there is 1 box between S and U, there must also be 1 box between R and P.
• Clue 6: Box W is kept above Box P.
• Clue 7: Box S is kept above Box V, and only two boxes are kept between Box X and Box V.
2. Evaluating the position arrangement:
Placing Box R at position 1:
• Position 1: Box R
• Position 4: Box T (3 positions below R)
• Position 5: Box S (4 positions below R)
• Position 7: Box U (2 positions below S, keeping 1 box between S and U)
• Position 8: Box Q (immediately below U)
• Position 3: Box P (1 box between R and P)
• Position 2: Box W (above P)
• Position 6: Box V (below S, between S and U)
• Position 9: Box X (2 boxes, U and Q, between V and X)
Complete Stack Order (Top to Bottom):
1. Box R
2. Box W
3. Box P
4. Box T
5. Box S
6. Box V
7. Box U
8. Box Q
9. Box X
3. Establishing the pattern/relationship:
• Box W (Position 2) is related to Box S (Position 5): Box S is 3 places below Box W (2 + 3 = 5).
• Box P (Position 3) is related to Box V (Position 6): Box V is 3 places below Box P (3 + 3 = 6).
• Applying the exact same pattern to Box T (Position 4):
The box related to Box T will be located 3 places below it, which is position 4 + 3 = 7.
Position 7 is occupied by Box U.
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