Day 238: CDS Maths

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

Question 1 (case study, 2 parts)
Circles. Asked once: CDS 2 2023
A line segment AB is bisected at C and semi-circles $S_1$ , $S_2$ and $S_3$ are drawn respectively on AB, AC and CB as diameters such that they all lie on same side of AB. A circle S is drawn touching internally $S_1$ and externally $S_2$ and $S_3$ .
41 $S_2$
Tap an option to check your answer.
42 $S_1$
Tap an option to check your answer.
Question 2 (case study, 2 parts)
Data Interpretation. Asked once: CDS 1 2022
Direction : Consider the following data for the two (02) items that follow : The table below gives the age-wise population percentage of a city :
Age group Percentage
Below 30 years 14.00
30–34.99 29.75
35–39.99 26.25
40–44.99 0
45–49.99 18.50
50 years and above 11.50
The number of persons below the age of 40 years is 10.5 lakhs.
91 $What is the total population of the city (in lakhs)?$
Tap an option to check your answer.
92 $1 : 2$
Tap an option to check your answer.
Question 3
Heights and Distances. Asked once: CDS 1 2022
53 $\theta$
Tap an option to check your answer.
Question 4
Inequalities. Asked once: CDS 2 2021
7 $x$
Tap an option to check your answer.
Question 5
Linear Equations. Asked once: CDS 1 2023
28 $The age of Q exceeds the age of P by 3 years. The age of R is twice the age of P and the age of Q is twice the age of S. Further, the age difference of R and S is 30 years. What is the sum of the ages of P and Q?$
Tap an option to check your answer.

Question 1 (case study, 2 parts)