CDS II 2017 Elementary Mathematics Previous Year Paper (19-Nov-2017)

Question 1

A tent has been constructed which is in the form of a right circular cylinder surmounted by a right circular cone whose axis coincides with the axis of the cylinder. If the radius of the base is 50 m, the height of the cylinder is 10 m and the total height of the tent is 15 m, then what is the capacity of the tent in cubic meters?

Accepted Answer

87500&pi;/3

Answer

37500&pi;

Answer

26500&pi;/3

Answer

25000&pi;

Question 2

Two rectangular sheets of sizes 2&pi; &times; 4&pi; and &pi; &times; 5&pi; are available. A hollow right circular cylinder can be formed by joining a pair of parallel sides of any sheets. What is the maximum possible volume of the cylinder that can be formed this way?

Accepted Answer

8 &pi; 2

Answer

4 &pi; 2

Answer

1.25 &pi; 2

Answer

6.25 &pi; 2

Question 3

In triangle ABC, the medians AD and BE intersect at G. A line DF is drawn parallel to BE such that F is on AC. If AC = 9 cm, then what is CF equal to?

Accepted Answer

2.25 cm

Answer

3 cm

Answer

4.5 cm

Answer

6 cm

Question 4

In a triangle PQR, X is a point on PR and Y is a point on QR such that PR = 10 cm, RX = 4 cm, YR = 2 cm, QR = 5 cm. Which one of the following is correct?

Accepted Answer

XY is parallel to PQ

Answer

PQ = 2 XY

Answer

PX = QY

Answer

PQ = 3 XY

Question 5

Consider the following statements in respect of three straight lines A, B and C on a plane:

1. If A and C are parallel and B and C are parallel, then A and B are parallel

2. If A is perpendicular to C and B is perpendicular to C, then A and B are parallel

3. If the acute angle between A and C is equal to the acute angle between B and C; then A and B are parallel

Which of the above statements are correct?

Accepted Answer

1 and 2 only

Answer

1, 2 and 3

Answer

1 and 3 only

Answer

2 and 3 only

CDS II 2017 Elementary Mathematics Previous Year Paper (19-Nov-2017)

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