Day 258: CDS Maths

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

Question 1
Algebraic Identities and Simplification. Asked once: CDS 1 2025
4 $x, y, z$
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Question 2
Averages. Asked once: CDS 2 2019
64 $Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers ?$
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Question 3 (case study, 2 parts)
Circles. Asked once: CDS 2 2021
Consider the following for the next two (02) items that follow : $AB$ is a diameter of a circle with centre $O$ . Radius $OP$ is perpendicular to $AB$ . Let $Q$ be any point on arc $PB$ .
89 $\angle BAP$
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90 $\angle AQP$
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Question 4 (case study, 3 parts)
Data Interpretation. Asked once: CDS 1 2020
Directions for the following three (03) items : Read the following information and answer the three items that follow : The following data presents count of released convicts who have served prison terms $X$ , those who have received some educational or technical training during their term $Y$ and those who were offered Company placement $Z$ respectively, from six different jails A, B, C, D, E and F, in the year 2010.
$X$ $Y$ $Z$
A 86 45 25
B 1305 903 461
C 2019 940 474
D 1166 869 416
E 954 544 254
F 1198 464 174
38 $Jails with highest and smallest percentage of trained convicts are respectively$
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39 $Jail with highest placement rate of trained convicts is$
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40 $Jails from which more than half of the trained convicts are offered jobs, are$
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Question 5
Heights and Distances. Asked once: CDS 1 2020
55 $30^\circ$
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	$X$	$Y$	$Z$
A	86	45	25
B	1305	903	461
C	2019	940	474
D	1166	869	416
E	954	544	254
F	1198	464	174

Question 1

Question 2

Question 3 (case study, 2 parts)

Question 4 (case study, 3 parts)

Question 5