Seven boxes of different colours, Red, Yellow, Blue, Green, Orange, Violet and Indigo were stocked one on the other, not necessarily in the same order. No other box was placed below the orange box. The Violet box was placed second to the top of the Blue box. The Green box was second to the bottom of the Indigo box. The Red box was placed at the topmost position. The Yellow box was exactly above the Indigo box. Which of the following is the correct pair of box and its position?

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RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 14 June 2022 Shift 2)
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  1. Violet box – 7th position from the top
  2. Yellow box – 5th position from the top
  3. Green box – 3rd position from the top
  4. Blue box – 6th position from the top

Answer (Detailed Solution Below)

Option 4 : Blue box – 6th position from the top
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Detailed Solution

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Seven boxes of different colours, Red, Yellow, Blue, Green, Orange, Violet and Indigo were stocked one on the other, not necessarily in the same order.

1. No other box was placed below the orange box.

2. The Red box was placed at the topmost position.

Red

 

 

 

 

 

Orange

3. The Green box was second to the bottom of the Indigo box. 

4. The Yellow box was exactly above the Indigo box. 

Case I

Case II

Red

Red

Yellow

 

Indigo

Yellow

 

Indigo

Green

 

 

Green

Orange

Orange

5. The Violet box was placed second to the top of the Blue box.

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

The final arrangement is shown below:

Case I

Red

Yellow

Indigo

Violet

Green

Blue

Orange

 

  1. Violet box – 7th position from the top → False (4th position from the top)
  2. Yellow box – 5th position from the top → False (2nd position from the top)
  3. Green box – 3rd position from the top → False (5th position from the top)
  4. Blue box – 6th position from the top → True

Hence, 'Blue box – 6th position from the top' is the correct answer.

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