Day 201: CDS Maths

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

Question 1
Ratio, Proportion and Variation. Asked once: CDS 2 2016 (same type asked 4 times) See all 4 of this type
35 $Incomes of Mahesh and Kamal are in the ratio 1 : 2 and their expenses are in the ratio 1 : 3. Which one of the following statements is correct ?$
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Question 2
Algebraic Identities and Simplification. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type
20 $\frac{1}{bc(a - b)(a - c)} + \frac{1}{ca(b - c)(b - a)} + \frac{1}{ab(c - a)(c - b)}$
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Question 3
Mensuration 3D. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type
66 $Three copper spheres of radii 3 cm, 4 cm and 5 cm are melted to form a large sphere. What is its radius ?$
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Question 4
Triangles. Asked once: CDS 2 2016 (same type asked 4 times) See all 4 of this type
56 $In an equilateral triangle another equilateral triangle is drawn inside joining the mid-points of the sides of given equilateral triangle and the process is continued up to 7 times. What is the ratio of area of fourth triangle to that of seventh triangle ?$
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Question 5
Trigonometric Ratios and Identities. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type
59 $\sin^6 \theta + \cos^6 \theta + 3 \sin^2 \theta \cos^2 \theta - 1$
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Question 1