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
$\cdot$ $\cdot$ $\cdot$ $\cdot$ $\cdot$ $\cdot$ $\cdot$ $\cdot$ $\cdot$ $\cdot$
Also, the number 10 can be shown as a triangle as given below
$\cdot$
$\cdot$ $\cdot$
$\cdot$ $\cdot$ $\cdot$
$\cdot$ $\cdot$ $\cdot$ $\cdot$
And, the number 10 can also be shown as a rectangle, as given below :
$\cdot$ $\cdot$
$\cdot$ $\cdot$
$\cdot$ $\cdot$
$\cdot$ $\cdot$
$\cdot$ $\cdot$
(5 rows and 2 columns)
or
$\cdot$ $\cdot$ $\cdot$ $\cdot$ $\cdot$
$\cdot$ $\cdot$ $\cdot$ $\cdot$ $\cdot$
(2 rows and 5 columns)