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Previous Year Questions

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Question :

Six boxes- A, B, C, D, E and F are kept in a stack one above the other but not necessarily in the same order. The bottommost box is 1 above that 2 and so on. At most three boxes are kept below box B. Two boxes are kept between box A and box D. Three boxes are kept between box C and box E. Box C is kept immediately above box B. How many boxes are kept above box E?

1. One

2. Three

3. Cannot be determined

4. Two

5. More than three

Correct Answer : 5
Solution :

Six boxes- A, B, C, D, E and F are kept in a stack one above the other but not necessarily in the same order. The bottommost box is 1 above that 2 and so on.

Two boxes are kept between Box A and box D.

Box C is kept immediately above box B.

Three boxes are kept between box C and box E.

Case 1Case 2Case 3Case 4
BoxBoxBoxBox
ACDC
CBCB
BABD
DA
EE
EDEA

At most three boxes are kept below box B.

Thus, Case 2 and Case 4 get cancelled.

Case 1Case 3
BoxBox
AD
CC
BB
DA
EE

Now, only box F is remaining.

Case 1Case 3
BoxBox
AD
CC
BB
DA
FF
EE

Five boxes are kept above box E.

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