Direction: Read the following information carefully and answer the given questions.
There are six boxes P, Q, R, S, T, and U they have different colors Red, yellow, black, white, green, and violet but not necessarily in the same order. They are kept one above another in the stack. There is one box between Box P and the one with a Yellow color. The box which has Red is immediately below the box which has a yellow color. There is one box between the boxes with Red color and Box Q. There are as many boxes above one with White color as the below Box S. Box S is below white. The one which has Green color is immediately above the one which has Violet but immediately below Box T. Three boxes are between Box U and the one which has Black color. Box Q does not have a Violet color.
Which of the following statements is/are true?
I. Box T is yellow in color.
II. The one that has a Black color is adjacent to Box Q.
III. Two boxes are above the one that has the Red color.
- AOption (a)
Only II
- BOption (b)
Only III
- COption (c)
Both I and II
- DOption (d)
Only I
- EOption (e)
Both II and III
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Correct answer
Only III
Why this answer is correct
1) There is one box between Box P and the one with a Yellow color. The box which has Red is immediately below the box which has a yellow color. There is one box between the boxes with a Red color and Box Q.
| Case 1 | Case 2 | Case 3 | Case 4 | Case 5 | |||||
|---|---|---|---|---|---|---|---|---|---|
| Box | Color | Box | Color | Box | Color | Box | Color | Box | Color |
| P | P | Yellow | |||||||
| Q | P | Red | |||||||
| Yellow | Yellow | Q | P | P | |||||
| Red | Red | Yellow | Q | Q | |||||
| Red | Yellow | ||||||||
| Q | Red |
| Case 6 | Case 7 | Case 8 | Case 9 | Case 10 | |||||
|---|---|---|---|---|---|---|---|---|---|
| Box | Color | Box | Color | Box | Color | Box | Color | Box | Color |
| Q | |||||||||
| Yellow | Yellow | Q | |||||||
| Red | Yellow | Red | Yellow | Q | |||||
| P | Red | P | Red | Yellow | |||||
| Q | P | P | Red | ||||||
| Q | P |
2) The one which has Green color is immediately above the one which has Violet but immediately below Box T.
| Case 1 | Case 2 | Case 3 | Case 4(a) | Case 4(b) | Case 5 | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Box | Color | Box | Color | Box | Color | Box | Color | Box | Color | Box | Color |
| P | P | T | T | Yellow | |||||||
| Q | P | Green | Green | T | T | Red | |||||
| Yellow | Yellow | Q | Violet | P | Violet | P | Green | P | Green | ||
| T | Red | T | Red | Yellow | Q | Q | Violet | Q | Violet | ||
| Green | Green | Red | Yellow | Yellow | |||||||
| Q | Violet | Violet | Red | Red |
| Case 6 | Case 7 | Case 8 | Case 9 | Case 10 | |||||
|---|---|---|---|---|---|---|---|---|---|
| Box | Color | Box | Color | Box | Color | Box | Color | Box | Color |
| Q | T | ||||||||
| Yellow | Yellow | Q | Green | ||||||
| T | Red | Yellow | T | Red | Yellow | Q | Violet | ||
| P | Green | T | Red | P | Green | T | Red | Yellow | |
| Q | Violet | P | Green | Violet | P | Green | Red | ||
| Q | Violet | Violet | P |
- Box Q does not have a Violet color. There are as many boxes above one with White color as the below S. S is below white. Cases 1, 3, 4(b), 5, 6, 7, and 10 are not satisfying the given condition. That is why they are eliminated.
| Case 2(a) | Case 2(b) | Case 4(a) | Case 8 | Case 9 | |||||
|---|---|---|---|---|---|---|---|---|---|
| Box | Color | Box | Color | Box | Color | Box | Color | Box | Color |
| P | White | P | T | White | Q | White | White | ||
| Q | Q | White | Green | Yellow | Q | ||||
| Yellow | Yellow | P | Violet | T | Red | Yellow | |||
| T | Red | T | Red | Q | P | Green | T | Red | |
| Green | S | Green | Yellow | Violet | P | Green | |||
| S | Violet | Violet | S | Red | S | S | Violet |
4) Three boxes are between Box U and the one which has Black color. Cases 2(a), Case 2(b), Case 4(a), and Case 9 are not satisfying the given condition. That is why they are eliminated.
| Box | Color |
|---|---|
| Q | White |
| U | Yellow |
| T | Red |
| P | Green |
| Violet | |
| S | Black |
The final arrangement is:
| Box | Color |
|---|---|
| Q | White |
| U | Yellow |
| T | Red |
| P | Green |
| R | Violet |
| S | Black |
Box T has a Red color. The one that has Black is not adjacent to Box Q. Hence, Only III (Two boxes are above the one that has the Red color.) is true.