Day 233: CDS Maths

5 questions (8 parts). Try each one first, then open its answer.

Question 1 (case study, 3 parts)
Data Interpretation. Asked once: CDS 1 2024
Consider the following for the next three (03) items that follow : The following Pie-Chart-I shows the people migrating to Delhi from different Indian States (P, Q and R are three different States and S is the combined group of other States) and Pie-Chart-II indicates the different age groups A, B, C and D of these migrating people for each State.
83 $If the people coming from a particular State belonging to S are 15% and 24,000 in number, then what is the total number of migrating people belonging to the age group B ?$
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84 $What is the maximum of differences between the number of people coming from different groups P, Q, R and S ?$
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85 $What is the difference between number of people coming from R having age group A and those coming from Q having age group D ?$
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Question 2 (case study, 2 parts)
Heights and Distances. Asked once: CDS 2 2022
Consider the following for the next two (02) items that follow : The angle of elevation of a cloud at C from a point (P), H metres above the surface of a lake is $30^\circ$ . The height of the cloud from the surface of the lake is 2H metres. Let $\theta$ be the angle of depression of the reflection of the cloud in the lake from the point P.
46 $\theta$
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47 $What is PC equal to ?$
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Question 3
Inequalities. Asked once: CDS 2 2025
59 $5x + 3 < 8x - 9$
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Question 4
Linear Equations. Asked once: CDS 2 2023
24 $The combined age of a man and his wife is 6 times the combined age of their children. Two years ago their combined age was 10 times the combined age of their children; and six years later their combined age will be 3 times the combined age of their children. How many children do they have if each child is at least 2 years old ?$
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Question 5
Lines, Angles and Polygons. Asked once: CDS 1 2020
93 $\frac{y}{x} = 6$
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Question 1 (case study, 3 parts)

Question 2 (case study, 2 parts)

Question 3

Question 4

Question 5