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Solutions
Different colour pencils – black, blue, yellow, green, orange, red and white.
Numbers of colour pencils – 10, 14, 15, 20, 25, 28 and 34.
1. Black colour pencil is in box number three.
2. Green colour pencils is not in box 2.
3. There are 15 pencils in box 2 and 14 pencils in box 5.
Box number | Pencil Colour | Number of Pencils |
1 | | |
2 | Green
| 15 |
3 | Black | |
4 | | |
5 | | 14 |
6 | | |
7 | | |
4. The box that has yellow colour pencils is two boxes below the box which has green colour pencils.
5. The box with yellow colour pencil is kept just above the box that has orange colour pencil.
Box number | Pencil Colour | Number of Pencils |
1 | | |
2 | Green
| 15 |
3 | Black | |
4 | Green | |
5 | | 14 |
6 | Yellow | |
7 | Orange | |
6. There are total 10 white colour pencils.
Only box 1 has both the pencil colour and number of pencils vacant. So, box 1 has 10 white coloured pencils.
Box number | Pencil Colour | Number of Pencils |
1 | White | 10 |
2 | Green
| 15 |
3 | Black | |
4 | Green | |
5 | | 14 |
6 | Yellow | |
7 | Orange | |
7. The number of black colour pencils is equal to the difference between red and green colour pencils.
14, 15, 20, 25, 28 and 34.
Among the given set of numbers, we can see that 20 = 34 – 14, i.e, if there are 20 black colour pencils, 34 green colour pencils and 14 red colour pencils, then number of black colour pencils is equal to the difference between red and green colour pencils.
Box number | Pencil Colour | Number of Pencils |
1 | White | 10 |
2 | Green
| 15 |
3 | Black | 20 |
4 | Green | 34 |
5 | Red | 14 |
6 | Yellow | |
7 | Orange | |
8. The number of orange colour pencils is an even number.
25 and 28 are the remaining two numbers, among which 28 is an even number.
So, there are 28 orange colour pencils and 25 yellow colour pencils.
Hence, the final arrangement is:
Box number | Pencil Colour | Number of Pencils |
1 | White | 10 |
2 | Blue | 15 |
3 | Black | 20 |
4 | Green | 34 |
5 | Red | 14 |
6 | Yellow | 25 |
7 | Orange | 28 |
1. 1 – White → White colour pencil is in box 1.
2. Black – 20 → There are 20 black colour pencils.
3. 7 – Orange → Orange colour pencil is in box 7.
4. Red – 34 → There are 14 red colour pencils.
5. 6 – 25 → Box 6 has 25 pencils.
Hence, ‘Red – 34’ is the incorrect pair.