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Previous Year Questions

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Question :

Directions [Set of 5 Questions]: Nine boxes viz. A, B, C, D, E, F, G, H, and I are stacked over each other. Box C is kept immediately above box F. Only two boxes are kept between boxes F and B. More than three boxes are kept between boxes B and H. Five boxes are kept between F and I. The number of boxes kept below box I is not more than three. Box A is kept immediately above box E. Only three boxes are kept between boxes A and D.

Which of the following boxes is related to box B in the same way, box B is related to box I?

1. C

2. G

3. F

4. H

5. D

Correct Answer : 3
Solution :

It is given that,

The boxes are A, B, C, D, E, F, G, H, and I.

Five boxes are kept between F and I.

The number of boxes kept below box I is not more than three.

Box C is kept immediately above box F.

We get,

Case 1Case 2
C
CF
F
I
I

Only two boxes are kept between boxes F and B.

More than three boxes are kept between boxes B and H.

Hence, case 2 is invalid.

Box A is kept immediately above box E.

We get,

Case 1Case 1.1
HH
CC
FF
A
E
BB
A
E
II

Only three boxes are kept between boxes A and D.

Hence, case 1.1 is invalid.

The final arrangement is,

Box
H
C
F
A
E
B
G
D
I

Here, box B is kept above I and two boxes are kept between B and I. Similarly, box F is kept above B and two boxes are kept between F and B.

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