1.The height of an equilateral triangle is 4√3 cm. The ratio of the area of its circum circle to that of its in-circle is
(a) 3 : 1
(b) 4 : 1
(c) 3 : 2
(d) √3 : √2
2.A, B, C, D are midpoints of a rectangle. A = 10 cm. If one of the sides of the rectangle is 12 cms.
(a) 192
(b) 144
(c) 240
(d) 96
3.The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm. and breadth is less by 3 cm. The perimeter of the rectangle is
(a) 17 cm.
(b) 26 cm.
(c) 34 cm.
(d) 30 cm.
4.The area of an equilateral triangle inscribed in a circle is 4√3 cm2. The area of the circle is
(a) 22π/3 cm^2
(b) 16π/3 cm^2
(c) 32π/3 cm^2
(d) None
5.The base and attitude of a right angled triangle are 12 cm and 5 cm respectively. The perpendicular distance of its hypotenuse from its opposite vertex is
(a) 1/2 cm.
(b) 48/13 cm.
(c) 7 cm.
(d) 5 1/3 cm.
6. The area of a circle is increased by 22 cm, its radius is increased by 1 cm. The original radius of the circle is
(a) 6 cm.
(b) 3 cm.
(c) 5 cm.
(d) 4 cm.
7.If the sides of an equilateral triangle are increased by 20%, 30% and 50% respectively to form a new triangle, the increase in the perimeter of the equilateral triangle is
(a) 25%
(b) 33 1/2%
(c) 100
(d) 50%
8. A circular road runs round a circular ground. If the difference between the circumference of the outer circle and the inner circle is 44 m. Find the width of road.
(a) 8 m.
(b) 7 m.
(c) 17 m.
(d) 9 m.
9.Water flows in a tank of dimensions 200 m x 150 m.at the speed of 20 km/h by a rectangular pipe of dimensions 1.5 m x 1.25 m. How long (in minutes) will it take to raise the water level by 2 meter more.
(a) 76
(b) 96
(c) 92
(d) 60
10.The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 1728 sq. cm. What is the ratio of the breadth and the area of the rectangle?
(a) 3 : 32
(b) 1 : 24
(c) 1 : 48
(d) 1 : 40
Note : Answers will be updated soon................
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