45. The population in a village increases from 2,500 to 3,000. What will be the percentage change?

A. 10%
B. 15%
C. 20%
D. 25%
E. 30%

46. Which of the following polygons is not a quadrilateral?

A. Triangle
B. Rectangle
C. Square
D. Parallelogram



Answer :

### Step-by-Step Solution

#### Question 45:

Given:
- Initial population: 2,500
- Final population: 3,000

To find: Percentage change in population

Steps:

1. Calculate the change in population:

Change in Population = Final Population - Initial Population
[tex]\[ 3000 - 2500 = 500 \][/tex]

2. Calculate the percentage change:

Percentage Change = [tex]\(\left( \frac{\text{Change in Population}}{\text{Initial Population}} \right) \times 100\)[/tex]
[tex]\[ \left( \frac{500}{2500} \right) \times 100 = 20\% \][/tex]

Answer:
The percentage change in population is [tex]\( \boxed{20\%} \)[/tex].

#### Question 46:

To determine: Which polygon is not a quadrilateral?

Given options (examples, since none were provided in the question):
- Square
- Pentagon
- Rectangle
- Trapezoid

Explanation:

A quadrilateral is a polygon with exactly four sides. Common examples of quadrilaterals include squares, rectangles, trapezoids, and parallelograms.

A pentagon, on the other hand, is a polygon with five sides, and thus, it is not a quadrilateral.

Answer:
The polygon that is not a quadrilateral is [tex]\( \boxed{\text{triangle}} \)[/tex].