**Q1. ABCD is a square of area 4, which is divided into four non overlapping triangles as shown in the figure. Then the sum of the perimeters of the triangles is**

**Q2. The sides of a triangle are 5, 12 and 13 units respectively. A rectangle is constructed which is equal in area to the triangle and has width of 10 units. Then the perimeter of the rectangle is**

(a) 30

(b) 26

(c) 13

(d) 25

(e) None of these

**Q3. Find the volume of a cone whose lateral surface are is 65 𝜋 and base radius is 5 units.**

(a) 100 𝜋

(b) 300 𝜋

(c) 150 𝜋

(d) 200 𝜋

(e) None of these

**Q4. There is a cylindrical container full of water, when a cube is immersed in this container, 2197 cc of water comes out, find the side of the cube.**

(a) 12

(b) 17

(c) 13

(d) 11

(e) None of these

**Q5. In a triangle ABC, AD is the perpendicular drawn from A to BC. AC = 13 cm, DC = 11 cm and BC = 16 cm. Find AB.**

(a) √72 cm

(b) 8 cm

(c) √73 cm

(d) 7 cm

(e) None of these

**Q6. In the adjoining figure, points A, B, C and D lie on the circle. If AD = 24 and BC = 12, then what is the ratio of the area of the triangle CBE to that of the triangle ADE.**

(a) 1 : 4

(b) 1 : 2

(c) 1 : 3

(d) Insufficient data

(e) None of these

(a) 2.1 cm

(b) 3.1 cm

(c) 1.2 cm

(d) 2.3 cm

(e) None of these

**Q8. An equilateral triangle is drawn on the diagonal of a square. The ratio of the area of the triangle to that of the square is**

**Q9. A copper wire is bent in the shape of a square of area 81 cm^2. If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is**

(a) 16

(b) 14

(c) 10

(d) 7

(e) None of these

**Q10. The volume (in m^3 ) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is**

(a) 75

(b) 750

(c) 7500

(d) 75000

(e) None of these

**Q11. The perimeter of a triangle is 40 cm and its area is 60 cm^2. If the largest side measures 17 cm, then the length of (in cm) of the smallest side of the triangle is**

(a) 4

(b) 6

(c) 8

(d) 15

(e) None of these

**Q12. The base of a triangular wall is 7 times its height. If the cost of painting the wall at Rs. 350 per 100 square meter is Rs. 1225, then what is the base length?**

(a) 50 m

(b) 70 m

(c) 75 m

(d) 100 m

(e) None of these

**Q13. A large solid metallic cylinder whose radius and height are equal to each other is to be melted and 48 identical solid balls are to be recast from the liquid metal so formed. What is the ratio of the radius of a ball to the radius of the cylinder?**

(a) 1 : 16

(b) 1 : 12

(c) 1 : 8

(d) 1 : 4

(e) None of these

**Q14. There is a square ABCD of area 64 cm^2. Four quarter circles are drawn in the square as shown in the diagram, what is the area of the shaded part**

**Q15. 2 cubes have volumes in the ratio 1:27. The ratio of the area of the face of one to that of the other is:**

(a) 1 : 2

(b) 1 : 3

(c) 1 : 6

(d) 1 : 9

(e) None of these

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