SOLVED PAPER 2020 (CDS) (I) (Elementary Mathematics)

Total Questions: 100

91. What is the area of the shaded region in the given figure, if the radius of each of the circles is 2 cm?

Correct Answer: (a)
Solution:Side of the equilateral triangle ABC = 2 × 2 = 4cm

92. In the given figure, what is the area of the shaded region?

Correct Answer: (b)
Solution:Diameter of circle

93. Simplify the question

Correct Answer: (c) 15°
Solution:


94. ABCD is a trapezium, where AB is parallel to DC. If AB = 4cm BC = 3cm CD = 7 cm and DA = 2cm then what is the area of the trapezium?

Correct Answer: (d)
Solution:Area of trapezium, when the lengths of parallel and non-parallel sides are given

95. Angles are shown in the given figure. What is the value of angle 1 + ∠2+ ∠3 + ∠4 + ∠5 + ∠6 + ∠7 + ∠8 ?

Correct Answer: (b) 360°
Solution:Sum of angles of a quadrilateral = 360°

96. In the given figure PQ is parallel to RS, ∠ZAEF = 95°, ∠BHS = 110°, and ∠ABC = x°. Then, what is the value of x?

Correct Answer: (b) 25
Solution:∠BEF = 180° - 95° = 85°and ∠FHG = 110°

97. In the given figure AB is parallel to CD and AC is parallel to BD. If ∠EAC = 40°, ∠FDG = 55°, ∠HAB = x°, then what is the value of x?

Correct Answer: (a) 85
Solution:Given, AB CD || and AC || BD.

98. In the given figure, there are three semi-circles ABC, AEF and CDF. The distance between A and C is 28 units and F is the mid-point of AC. What is the total area of the three semi-circles?

Correct Answer: (d) 462 square units
Solution:Given, AC = 28 units

99. What is the approximate area of the shaded region in the figure given?

Correct Answer: (d) 30.5 cm²
Solution:

100. Consider the following statements with reference to the given figure.


1. The sum of the areas of ΔAOD and ΔBOC is equal to the sum of the areas of ΔAOB and ΔDOC.
2. ∠AOD = ∠BOC
3. AB + BC + CD + DA > AC + BD

Which of the above statements are correct?

Correct Answer: (b) 2 and 3
Solution:∠AOD =∠BOC