Day 157: CDS Maths

5 questions (7 parts). Try each one first, then open its answer.

Question 1
Mensuration 2D. Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type
69 $The diagonals of a rhombus differ by 2 units and its perimeter exceeds the sum of the diagonals by 6 units. What is the area of the rhombus ?$
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Question 2
Mensuration 3D. Asked once: CDS 2 2023 (same type asked 5 times) See all 5 of this type
66 $A solid sphere of radius 3 cm is melted to form a hollow cylinder of height 4 cm and external diameter 10 cm. What is the thickness of the cylinder ?$
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Question 3
Quadratic Equations. Asked once: CDS 1 2021 (same type asked 5 times) See all 5 of this type
21 $k$
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Question 4
Quadrilaterals. Asked once: CDS 1 2019 (same type asked 5 times) See all 5 of this type
47 $All the four sides of a parallelogram are of equal length. The diagonals are in the ratio 1 : 2. If the sum of the lengths of the diagonals is 12 cm, then what is the area of the parallelogram ?$
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Question 5 (case study, 3 parts)
Statistics. Asked once: CDS 2 2022 (same type asked 5 times) See all 5 of this type
Consider the following for the next three (03) items that follow : A frequency distribution table is given below :
x 0 1 2 3 4 5
f 46 p q 25 10 5
Total frequency is 200 and mean of the distribution is 1.46.
48 $What is the value of p ?$
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49 $What is the value of q ?$
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50 $What is the median of the distribution ?$
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Question 1

Question 2

Question 3

Question 4

Question 5 (case study, 3 parts)