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Six boxes, M, N, O, P, Q and R, are kept one above the other but not necessarily in the same order. There is only one box between box N and box R. Box Q is immediately below box N. There are only two boxes between box Q and box M. There is no box above box P. Box R is third from the bottom. Which box is third from the top?

AQ

BO

CN

DR

Answer:

A. Q

Read Explanation:

Solution:

Six boxes - M, N, O, P, Q and R, are kept one above the other but not necessarily in the same order.

1. There is no box above box P.

2. Box R is third from the bottom.

P

 

 

R

 

 

3. There is only one box between box N and box R.

Case I

Case II

P

P

N

 

 

 

R

R

 

 

 

N

4. Box Q is immediately below box N.

The above condition cannot be satisfied in Case II, so it is eliminated.

Case I

P

N

Q

R

 

 

3. There are only two boxes between box Q and box M.

Case I

P

N

Q

R

 

M

Only one box O is left and it will occupy the vacant position.

So, the final arrangement is shown below:

Case I

P

N

Q

R

O

M

Clearly, box Q is third from the top.

Hence, ‘Q’ is the correct answer.


Related Questions:

Seven boxes A, B, C, D, E, F and G are placed on top of each other (not necessarily in the same order). Two boxes are placed between A and D. Three boxes are placed between D and F. C is placed immediately above G. D is placed immediately below E. G is placed above A. B is placed below E. Which of the following statements is correct? I. B is placed at the bottom. II. C is placed at the top.

Statements: Z ≤ X < P; B < A ≤ Z < C

Conclusions:

I. C < P

II. A ≥ X

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