Day 283: CDS Maths

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

Question 1
Statistics. Asked once: CDS 2 2017
92 $A small company pays each of its 5 category 'C' workers Rs. 20,000, each of its 3 category 'B' workers Rs. 25,000 and a category 'A' worker Rs. 65,000. The number of workers earning less than the mean salary is$
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Question 2
Surds, Indices and Simplification. Asked once: CDS 2 2020
13 $x^m = \sqrt[14]{x\sqrt{x\sqrt{x}}}$
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Question 3
Time, Speed and Distance. Asked once: CDS 1 2018
56 $What angle does the hour hand of a clock describe in 10 minutes of time ?$
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Question 4 (case study, 2 parts)
Triangles. Asked once: CDS 1 2025
Consider the following for the next two (02) items that follow : The perimeter of a triangle ABC is 105 cm. The altitudes AD, BE and CF are in the ratio $3 : 5 : 6$ .
57 $What is AB : BC : CA equal to ?$
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58 $What is the approximate area of the triangle ABC ?$
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Question 5
Trigonometric Ratios and Identities. Asked once: CDS 2 2024
11 $8\sin\theta - 4\sin^2\theta$
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Question 1