Question

Observe the pattern below and identify the number of orange and green boxes in the third and fifth block.

• A. Third: 6 orange boxes and 3 green boxes; Fifth: 15 orange boxes and 10 green boxes
• B. Third: 5 orange boxes and 2 green boxes; Fifth: 16 orange boxes and 11 green boxes
• C. Third: 4 orange boxes and 5 green boxes; Fifth: 11 orange boxes and 10 green boxes
• D. Third: 5 orange boxes and 3 green boxes; Fifth: 14 orange boxes and 9 green boxes

Answer 1

The correct option is A Third: 6 orange boxes and 3 green boxes; Fifth: 15 orange boxes and 10 green boxes

$\text{Detailed step-by-step solution:}$
In the given pattern, we can see that the number of colored boxes is increasing. Here, the two colors, orange and green, are used in a particular order.

The first block has only 1 orange box.

In the second block, the 3 boxes next to the orange box are all green.

In the fourth block, the 5 boxes next to the green boxes in the second block are orange, and the 7 boxes next to the orange boxes are green. So, orange and green are repeating in the pattern. Also, the number of colored boxes is increasing in a sequence.

So, the complete pattern will be as shown below.


The third block will have 6 orange and 3 green boxes.
The fifth block will have 15 orange and 10 green boxes.

Hence, Option D is correct.