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Question Numbers: 71-75 Direction: Read the following information carefully and answer the question that follow.
Nine boxes O, P, Q, R, S, T, U, V and W are kept one above another not necessarily in the same order. Bottom box is numbered as 1 and top box is numbered as 9.
Four boxes are placed between T and U. More than Four boxes are placed above the box U, which is even number box. Two boxes are placed between box O and P, which is placed just above box U. There are three boxes are placed between box S and box R, which is placed just above box T. More than three boxes are placed between box P and box V, which is placed above box O. More than two boxes are placed between box W and box Q, which is not placed above box P.
Solution:
Concept:This is a positional puzzle with nine boxes (
O,
P,
Q,
R,
S,
T,
U,
V,
W) placed from position
1 (bottom) to
9 (top). We need to find which box is at the
6th position.
Explanation:• Condition 1: Four boxes between
T and
U. More than four boxes above
U, and
U is even-numbered.
So
∣pos(T)−pos(U)∣=5 and
pos(U)<5. Hence
U can be
2 or
4.
If
U=2, then
T=7. If
U=4, then
T=9.
• Condition 2: Two boxes between
O and
P.
P is just above
U (so
pos(P)=pos(U)+1).
If
U=2:
P=3, then
∣pos(O)−3∣=3 gives
O=6.
If
U=4:
P=5, then
O could be
2 or
8.
• Condition 3: Three boxes between
S and
R.
R is just above
T.
For
U=2:
T=7 so
R=8. Then
∣pos(S)−8∣=4 gives
S=4.
For
U=4:
T=9 so
R=10 (impossible). So only
U=2 works.
So far:
U=2,
P=3,
S=4,
O=6,
T=7,
R=8. Free positions:
1,5,9. Remaining boxes:
V,W,Q.
• Condition 4: More than three boxes between
P and
V.
V is above
O (
pos(V)>6).
Only free position
>6 is
9. Check boxes between
P(3) and
V(9): five boxes, so
V=9.
• Condition 5: More than two boxes between
W and
Q.
Q is not above
P, so
pos(Q)≤3.
Free
≤3 only
1 (since
2,3 taken). So
Q=1. Then
∣pos(W)−1∣−1>2 gives
pos(W)≥5. Free
5 works: boxes between
W(5) and
Q(1) are
2,3,4 (three boxes) so
W=5.
Final arrangement (position → box):
1→Q,
2→U,
3→P,
4→S,
5→W,
6→O,
7→T,
8→R,
9→V.
The
6th position holds box
O.
Answer:O
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