Question

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.

• A. Neither I nor II
• B. Both I and II
• C. Only II
• D. Only I

Answer 1

Answer:

D. Only I

Solution:

Step 1-  Two boxes are placed between A and D.

Case 1                                            

Boxes

A

D

Case 2

Boxes

D

A

Step 2- Three boxes are placed between D and F.

Case 1

Boxes

F

A

D

Case 2

Boxes

D

A

F

Step 3-  D is placed immediately below E. G is placed above A.

Case 1

Boxes

G

F

A

E

D

Case 2

Boxes E

D

G

A

F

Step 4-   C is placed immediately above G and B is placed below E.

Case 1 

Here, case 1 is not possible because if we placed C immediately abov G and B is placed below E then the number of boxes is more than 7.

Case 2

Boxes E

D

C

G

A

F

B

Statements :-

I. B is placed at the bottom.✅

From the above table we see that B is placed at the bottom.

II. C is placed at the top.❌

C is placed between D and G.

Hence, this statement is incorrect.

Hence, the correct answer is Only I.