1.
The area of the largest circle that can be drawn inside a square of side 28 Cm in length is:
Answer: Option 'D'
Radius of required circle = 14 Cm
its area = 22/7 × 14 × 14
44 × 14 = 616 Cm2
2.
The sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq.m. Find the perimeter of rectangle.
Answer: Option 'C'
Let 6x and 5x be sides of the rectangle
6x × 5x = 1331
11x2 = 1331
x2 = 1331/11 = 121 => x = 11
Length = 6x = 6 × 11 = 66
Breadth = 5x => 5 × 11 = 55
Perimeter = 2 (l+b) => 2 (66+55) = 121 m
3.
A girl walking at the rate of 9 Km per hour crosses a square field diagonally in 12 seconds. The area of the field is:
Answer: Option 'D'
Distance covered in (9×1000)/(3600) × 12 = 30 m
Diagonal of squarre field = 30 m.
area of square field = 302/2
= 900/2 = 450 Sq.m
4.
The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
Answer: Option 'A'
Answer: Option 'A'
lb = 460 m2...(Equation 1)
Let the breadth = b
Then length, l = b × (100+15)/100 = 115b/100 ...(Equation 2)
From Equation 1 and Equation 2,
115b/100 × b = 460
b2 = 46000/115 = 400
⇒ b = √400 = 20 m
5.
The area of a square field is 4802 m2 the length of its diagonal is:
Answer: Option 'C'
Let the diagonal be d metres,
Then 1/2 d2 = 4802
d2 = 9604
d = √9604
d = 98 m