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The areas of two circular fields are in the ratio 16 : 49. If the radius of the bigger field is 14 m, then what is the radius of the smaller field? |
A) 4 m B) 8 m C) 9 m D) 10 m Correct Answer : 8 m Explanation : Let r1 and r2 be the radius of the circles. As is given, Ratio of area πr12/πr22 = 16/49 |
If each of the dimensions of a rectangle is increased by 200%, the area is increased by? |
A) 300% B) 400% C) 600% D) 800% Correct Answer : 800% Explanation : Let the length and width of the rectangle are x and y respectively. Now, Length and Width of rectangle after increasing by 200% New area = 3x*3y = 9xy Percentage increase in area = (9xy-xy)*100 / xy = 800 % |
A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent in the form of a circle, it encloses an area equal to? |
A) 121 cm2 B) 144 cm2 C) 154 cm2 D) 168 cm2 Correct Answer : 154 cm2 Explanation : As is given, area of square = a2 = 121 cm2 length of the wire = Perimeter of square of side a = 4a = 4*11 = 44cm Let the radius of circle be r cm. Then, Now, Area of circle = πr2 = (22/7) *7*7 = 154 cm2 |
If the area of a square is 16 cm2, then the area of the square joining the mid-points of the sides is? |
A) 32 cm2 B) 8 cm2 C) 4 cm2 D) 16 cm2 Correct Answer : 8 cm2 Explanation : Area of square, b² = 16 cm² Diagonal of square inside the big square = Side of big square |
The area of a triangle is 150 m2 . The ratio of its base to its height is 3:4. Find the length of its base ? |
A) 45 cm B) 30 cm C) 15 cm D) 10 cm Correct Answer : 15 cm Explanation : Let the base and height be 3x & 4x. Hence the length of the base is 15 cm. |