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Direction: Study the following information carefully and answer the questions given below:
Eight boxes viz. P, Q, R, S, T, U, V and W kept one above another such that the bottommost box is numbered 1 while the box above it is 2, and so on.
Box U is a prime-numbered box but not box 5. The number of boxes above W is equal to the number of boxes below box U. Box number of box S is twice of box number of box V. Box P is just above box U. Box Q is two boxes above box T.
Which box is just above box S?
U
Q
R
T
V
Let’s break this down step by step:
- There are 8 boxes stacked, numbered 1 (bottom) to 8 (top).
- U is on a prime number position, but not on 5. So possible spots: 2, 3, or 7.
- Boxes above W = boxes below U. So W and U are symmetrically arranged.
- S’s position = 2 x V’s position. So S can’t be at 1, 3, 5, 7.
- P is just above U.
- Q is two boxes above T.
What this means is:
- W must be position 4 or 5, because only those positions allow for equal boxes above and below (4 below, 4 above at box 5; 3 above, 3 below at 4). But U could be at 2, 3, or 7, which connects later.
- S & V: valid pairs are (2,1), (4,2), (6,3), (8,4).
Let’s fit it:
1. Try U at 3 (prime, not 5). Then P is at 4.
2. For W symmetry: boxes above W = boxes below U. If U is 3: boxes below U = 2, so boxes above W = 2 ? W must be box 6.
3. S & V pick (4,2) — possible, as S is at 4, V at 2.
4. List what we have:
- Box 1: ___
- Box 2: V
- Box 3: U
- Box 4: S
- Box 5: P (just above U)
- Box 6: W
- Box 7: ___
- Box 8: ___
But wait, P must be just above U (so U at 3, P at 4), but 4 is S per (S=2xV=4). Can’t fit both there. So U is not at 3.
Try U at 7 (prime):
- Boxes below U = 6, so above W = 6. Only possible if W is at 1, but number of boxes above W = 7, not 6.
- Try U at 2: boxes below U = 1, so boxes above W = 1 ? W is at 8 (only one above is not possible as top box, so not fitting).
Let’s try U at 2:
- P at 3.
- S & V: S = 2xV; pairs could be S=4, V=2. But V can’t be at 2, already occupied by U. Try next options.
U at 3:
- P at 4.
- S & V: S=6, V=3: But 3 has U, so not possible.
- S=8, V=4: S at 8, V at 4; P at 4 which conflicts.
U at 7:
- P at 8.
- S=2xV: S=2, V=1.
- So box 1: V; box 2: S.
- W is such that boxes above = below U (U at 7: below=6), so W is at 1 (with 7 above? No room).
Try U at prime, not 2,3,7—let’s double-check our deductions.
Go back to:
- Q is two above T: means Q is at T+2.
Let’s map this positionally (Trial):
Let’s try:
1. V: 1
2. S: 2
3. U: 3
4. P: 4
5. T: 5
6. Q: 7 (But 5+2=7; so Q at 7, T at 5) Possible?
7. W, R - left.
But boxes above W = boxes below U. If U is 3, below = 2. So above W = 2; W is at box 6 (positions 7 and 8 above, so 2 above W). Does that fit?
- So W at 6, above W are 7,8; below U are 1,2.
So, list:
1. V
2. S
3. U
4. P
5. T
6. W
7. Q
8. R
Check: Box S is at 2. Which box is just above S? Box 3, which is U.
So:
- Option 1: U ? This is the box immediately above S.
- Option 2: Q (it's at 7)
- Option 3: R (8)
- Option 4: T (5)
- Option 5: V (1)
Final answer:
Option 1: U
Here's what happened, bullet-style:
- The only way to get S and V relation with the other constraints is S=2, V=1.
- The only prime spot possible for U is 3; boxes above W equaling boxes below U makes W=6.
- With mapping, box 3 (U) is just above box 2 (S).
- So box U is just above box S.
You nailed it—Option 1 is correct.
By: Parvesh Mehta ProfileResourcesReport error
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