Day 190: CDS Maths

5 questions. Try each one first, then open its answer.

Question 1
Trigonometric Ratios and Identities. Asked once: CDS 1 2023 (same type asked 6 times) See all 6 of this type
53 $2\cos^2\theta + \sin\theta - 2 = 0$
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Question 2
Ratio, Proportion and Variation. Asked once: CDS 2 2023 (same type asked 6 times) See all 6 of this type
8 $\dfrac{2a}{3} = \dfrac{4b}{5} = \dfrac{3c}{4}$
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Question 3
Averages. Asked once: CDS 2 2019 (same type asked 6 times) See all 6 of this type
63 $The average of 50 consecutive natural numbers is x. What will be the new average when the next four natural numbers are also included ?$
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Question 4
Trigonometric Ratios and Identities. Asked once: CDS 2 2016 (same type asked 6 times) See all 6 of this type
79 $\frac{\cot A + \operatorname{cosec} A - 1}{\cot A - \operatorname{cosec} A + 1}$
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Question 5
Averages. Asked once: CDS 1 2018 (same type asked 6 times) See all 6 of this type
45 $The average of the ages of 15 students in a class is 19 years. When 5 new students are admitted to the class, the average age of the class becomes 18.5 years. What is the average age of the 5 newly admitted students?$
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Question 1