Question

Observe the pattern given below and find out which blocks will have the following number of blue and yellow boxes.

• A. (1) Sixth (2) Seventh
• B. (1) Fifth (2) Eight
• C. (1) Fifth (2) Sixth
• D. (1) Sixth (2) Eighth

Answer 1

The correct option is D (1) Sixth (2) Eighth

$\text{Detailed step-by-step solution:}$
In the given pattern, the number of boxes is increasing as we move from left to right.
Yellow and blue colors are repeated for each line of boxes in a particular order.
There is only 1 blue box in the first block.
In the second block, 2 more boxes are added in a line of yellow color below the boxes of the first block.
In the third block, 3 more blue boxes are added in a line below the boxes of the second block.
In the fourth block, 4 more yellow boxes are added in a line below the boxes of the third block.
So, we can see the number of boxes is increasing in a sequence starting from 1, and the colors blue and yellow are repeating in that particular order for each line of boxes added.
We have to find out the blocks which consist of the given number of blue and yellow boxes.
The complete pattern and the number of blue and yellow boxes for each block will be as shown below.


Therefore, we can see that the sixth block has 9 blue boxes and 12 yellow boxes. The eighth block has 16 blue boxes and 20 yellow boxes.

Hence, Option C is the correct answer.