Q1. Two circles, both of radii 1 cm, intersect such that the circumference of each one passes through the centre of the other. What is the area (in cm2) of the intersection region?
(a) π/3-√3/4
(b) 2π/3+√3/2
(c) 4π/3-√3/2
(d) 2π/3-√3/2
Q2. A hemispherical bowl has 3.5 cm radius. It is to be painted inside as well as outside. Find the cost of painting it at the rate of Rs. 5 per 10 sq cm. (a) Rs. 50
(b) Rs. 81
(c) Rs. 56
(d) Rs. 77
Q3. 3 spherical balls of radii 1 cm, 2 cm and 3 cm are melted to form a single spherical ball. In the process, the loss of material is 25%. The radius of the new ball is :
(a) 6 cm
(b) 5 cm
(c) 3 cm
(d) 2 cm
Q4. In the given figure, AB = BC = CA = CD and AD = DE, then find ∠AEB.
(a) 60°
(b) 30°
(c) 15°
(d) 7.5°
Q5. Water is flowing at the rate of 3 Km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time will the cistern be filled?
(a) 1 hour
(b) 1 hour 40 mins
(c) 1 hour 20 mins
(d) 2 hour 40 mins
Q6. If tan^2 B=(1 –sinA)/(1 +sin A) then, find the value of A + 2B?
(a) π/2
(b) 3π/2
(c) 5π/2
(d) Π
Q7. If the price of potatoes increased first by 20% and subsequently by 40%. What is the final price per kilogram, if the original price was Rs. 25 per kilogram?
(a) 42
(b) 36
(c) 48
(d) 54
Q8.A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 cm2. Which one of the following is correct ?
(a) Both cube and cuboid can be painted
(b) Only cube can be painted
(c) Only cuboid can be painted
(d) Neither cube nor cuboid can be painted
Q9. If each side of a cube is decreased by 19%, then decrease in surface area is
(a) 40%
(b) 38.4%
(c) 35%
(d) 34.39%
Q10. The paint in certain container is sufficient to paint an area equal to 9.375 sq m. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?
(a) 100
(b) 200
(c) 50
(d) 175
Q11. Find the area of rhombus of side 12 cm whose three vertex are on the circumference and 4th on the centre of circle.
(a) 75 cm2
(b) 72√3 cm^2
(c) 62√8 cm^2
(d) 68√3 cm^2
Q12. If Sin θ + Sin^2 θ = 1, find cos^12 θ + 3cos^10 θ + 3 cos^8 θ + cos^6 θ + 1
(a) 0
(b) 86
(c) 2
(d) –30
Q13. Base of the Pyramid is a rectangle having sides 24cm × 18cm and its lateral edge is 17 cm. Find its volume.
(a) 1058 cm3
(b) 1152 cm3
(c) 1009 cm3
(d) 1262 cm3
Q14. In ∆ABC, AB = 16 cm, BC = 36 cm and AC = 28 cm, then find the length of median AD.
(a) 11 cm
(b) 14 cm
(c) 9 cm
(d) 10 cm
(a) 0
(b) –1
(c) 1
(d) 2
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