Day 137: CDS Maths

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

Question 1
Quadratic Equations. Asked once: CDS 1 2022 (same type asked 2 times) See all 2 of this type
45 $How many quadratic equations have the sum of their roots equal to the product of their roots?$
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Question 2
Surds, Indices and Simplification. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type
100 $x + \cfrac{1}{1 + \cfrac{1}{2 + \cfrac{1}{3}}} = 2$
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Question 3
Time and Work. Asked once: CDS 2 2017 (same type asked 2 times) See all 2 of this type
37 $30 men can complete a job in 40 days. However, after 24 days some men out of the assigned 30 left the job. The remaining people took another 40 days to complete the job. The number of men who left the job is$
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Question 4
Time, Speed and Distance. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type
39 $The speeds of three cars are in the ratio 2 : 3 : 4. What is the ratio between the times taken by these cars to travel the same distance ?$
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Question 5
Mensuration 3D. Asked once: CDS 1 2018 (same type asked 2 times) See all 2 of this type
86 $A cube of maximum volume (each corner touching the surface from inside) is cut from a sphere. What is the ratio of the volume of the cube to that of the sphere ?$
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Question 1