Question

Observe the pattern and find out the number of circles and triangles in the fifth and seventh blocks.

• A. Fifth: 5 circles and 4 triangles; Seventh: 6 circles and 5 triangles
• B. Fifth: 4 circles and 5 triangles; Seventh: 6 circles and 7 triangles
• C. Fifth: 5 circles and 5 triangles; Seventh: 7 circles and 7 triangles
• D. Fifth: 5 circles and 4 triangles; Seventh: 7 circles and 6 triangles

Answer 1

The correct option is D Fifth: 5 circles and 4 triangles; Seventh: 7 circles and 6 triangles

$\text{Detailed step-by-step solution:}$
In the given pattern, the number of boxes is increasing as we move from left to right, along with the number of circles and triangles in a particular order.

The first block has only 1 box and 1 circle in it.

The second block has 2 boxes, 2 circles, and 1 triangle.

The third block has 3 boxes, 3 circles, and 2 triangles.

So, we can see that 1 box with 1 circle and 1 triangle is added in every next block from the second block onwards.

The complete pattern till the seventh block will be as shown below.

Therefore, the fifth block will have 5 boxes with 5 circles and 4 triangles. The seventh block will have 7 boxes with 7 circles and 6 triangles.

Hence, Option B is correct.