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Question :

Directions : Eight boxes - J, K, L, M, N, O, P and Q are arranged one above the other in a stack, but not necessarily in the same order

Only L is kept above J. At most one box is kept below box P. Three boxes are kept between N and O. Q is kept immediately above N. Neither N nor O is kept immediate below J. Box K is kept below box M.

If all boxes are arranged in alphabetical order from topmost to bottommost positions in the stack, then the positions of how many boxes remain(s) unchanged?

1. One

2. Two

3. Three

4. Four

5. None

Correct Answer : 1
Solution :

Eight boxes - J, K, L, M, N, O, P and Q are arranged one above the other in a stack, but not necessarily in the same order

Only L is kept above J.

At most one box is kept below box P.

Case 1Case 2
Sr. no BoxesBoxes
1LL
2JJ
3
4
5
6
7P
8P

Q is kept immediate above N.

Three boxes are kept between N and O.

Case 1Case 2
Sr. no BoxesBoxes
1LL
2JJ
3OQ
4N
5
6Q
7NP
8PO

Neither N nor O is kept immediately below J.

Thus, case 1 is invalid.

Box K is kept below box M.

Therefore, the final arrangement is:

Sr. no Boxes
1L
2J
3Q
4N
5M
6K
7P
8O

If all boxes are arranged in alphabetical order from topmost to bottommost positions in the stack, then we get:

Sr. noBoxesAlphabetical order
1LJ
2JK
3QL
4NM
5MN
6KO
7PP
8OQ

So, the position of only one box remains unchanged.

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