Day 42: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

Question 1
Trigonometric Ratios and Identities. This type asked 3 times: CDS 1 2017, CDS 1 2020, CDS 2 2022. This one: CDS 2 2022 See all 3 of this type
59 $3600\sec^2\theta + 121\operatorname{cosec}^2\theta$
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Question 2 (case study, 2 parts)
Data Interpretation. This type asked 3 times: CDS 1 2021, CDS 2 2021, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type
Direction : Consider the following data for the two (02) items that follow : The expenditure (in lakhs of rupees) of a company for the years 2011 to 2017 is as under :
Year Expenditure
2011 13.8
2012 15.4
2013 10.4
2014 13.1
2015 15.8
2016 17.2
2017 19.4
93 $How many times the increase in expenditure in a year exceeded by more than 15% as compared to previous year?$
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94 $In which year, the percentage increase in expenditure is maximum as compared to its previous year?$
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Question 3
Mensuration 2D. This type asked 3 times: CDS 2 2016, CDS 2 2020, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type
90 $n$
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Question 4
Mensuration 3D. This type asked 3 times: CDS 2 2016, CDS 1 2021, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type
64 $3 : 7$
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Question 5
Quadratic Equations. This type asked 3 times: CDS 1 2017, CDS 2 2017, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type
38 $ax^2 + bx + c = 0$
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Question 1