Day 14: CDS Maths

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

Question 1
Mensuration 3D. This type asked 5 times: CDS 2 2016, CDS 2 2017, CDS 1 2018, CDS 2 2022, CDS 2 2023. This one: CDS 2 2023 See all 5 of this type
52 $A lamp shade is in the shape of a part of a cone and its top and bottom ends are circles whose circumferences are respectively 30 cm and 40 cm. The perpendicular distance between the ends is 6 cm. If the cone were to be completed, then how far would its vertex be from the top end ?$
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Question 2
Mensuration 2D. This type asked 5 times: CDS 2 2016, CDS 2 2018, CDS 1 2019, CDS 1 2020, CDS 2 2020. This one: CDS 2 2020 See all 5 of this type
79 $If the perimeter of a circle and a square are equal, then what is the ratio of the area of the circle to that of the square ?$
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Question 3
Time and Work. This type asked 5 times: CDS 1 2017, CDS 2 2018, CDS 1 2019, CDS 2 2019, CDS 1 2020. This one: CDS 1 2020 See all 5 of this type
48 $In a water tank there are two outlets. It takes 20 minutes to empty the tank if both the outlets are opened. If the first outlet is opened, the tank is emptied in 30 minutes. What is the time taken to empty the tank by second outlet?$
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Question 4
Mensuration 2D. Asked 4 times: CDS 2 2016*, CDS 2 2017*, CDS 2 2018*, CDS 2 2024 (* = numbers or wording changed that year) See all 4 times it was asked
50 $What is the area of a triangle having sides 4, 4 and 6 units ?$
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Question 5
Time and Work. Asked 4 times: CDS 1 2019*, CDS 1 2021*, CDS 2 2021*, CDS 1 2024 (* = numbers or wording changed that year) See all 4 times it was asked
45 $(x + 1)$
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Question 1

Question 2

Question 3

Question 4

Question 5