Question

By using dot $(\cdot )$ patterns, which of the following numbers can be arranged in all the three ways namely a line, a triangle and a rectangle?

• A. $9$
• B. $10$
• C. $11$
• D. $12$

Answer 1

The correct option is B $10$

As we know that every number can be arranged as a line.
The number $10$ can be shown as
$1)$ In Line
$..........$
$2)$ In Triangle
$..........$
$3)$ In Rectangle
$..........$ or $..........$
Number $9$ cannot be arranged in rectangle.
Number $11$ cannot be arranged in triangle and rectangle.
While number $12$ cannot be arranged in triangle.
From the above patterns$\left(1\right),\left(2\right),\left(3\right)$ we can conclude that number $10$ can be arranged in all three patterns.