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# (Paper) CDS: Elementary Mathematics Solved Exam Paper (II): 2006

**Combined Defence Services**

**CDS Elementary Mathematics Solved Exam Paper (II) : 2006**

**1.What is the value of n of a regular polygon of n sides for which its side is equal to the radius of the circumscribed circle?**

(a) 3

(b) 4

(c) 6

(d) 8

**2. If the angles of triangle are in the ratio 5:3:10, what is the difference between the largest angle and the smallest angle?**

(a) 20°

(b) 30°

(c) 50°

(d) 70°

**3. The sides of a triangle are 20 cm, 16 cm and 13 cm respect iv el y. Whi ch one of the following is correct?**

(a) The triangle is obtuse angled

(b) The traingle is right angled

(c) The triangle is acute engled

(d) Cannot be determined

**4. If one of the interior angles of a regular polygon is equal to 7/ 6 times one of the interior angles of a regular hexagon, then what is the number of sides of the polygon?**

(a) 7

(b) 8

(c) 9

(d) 10

**5. Some money is divided among Rajesh, Sonal and Chetan in such a way that 2 times shares of Rajesh, 3 times share of Sonal and 5 times share of Chetan are all equal. What is the ratio between the shares of Rajesh, Sonal and Chetan?**

(a) 10 : 6 : 15

(b) 15 : 10 : 6

(c) 6 : 10 : 15

(d) 15 : 6 : 10

**6. A piont A is 6.5 cm form the centre of a circle. The length of the tangent drawn from A to the circle is 6 cm. What is the radius of the circle?**

(a) 5 cm

(b) 4 cm

(c) 3.5 cm

(d) 2.5 cm

**7. If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original one?**

(a) 1 : 2

(b) 1 : 3

(c) 1 : 4

(d) 2 : 5

**8.What is the time needed to empty a cuboidal water reservoir 10 m long. 9 m wide and 3 deep at the ratio of 45 L/ m?**

(a) 100 h

(b) 90 h

(c) 80 h

(d) 60 h

**9. A cubical tank of each edge of length 6 m contains 72 m3 water in which a cube of edge 3 m is dropped which gets fully submerged. What is the height of water level that is raised in the tank? **

(a) 2/ 3 m

(b) 3/ 4 m

(c) 1 m

(d) 5/ 4 m

**10. A cross is formed by adjoining faces of 5 unit cubes. What is the total surface area of exposed surfaces?**

(a) 18 unit

(b) 20 unit

(c) 22 unit

(d) 26 unit