Day 77: CDS Maths

5 questions (7 parts). Try each one first, then open its answer.

Question 1
Mensuration 3D. This type asked 2 times: CDS 1 2021, CDS 1 2022. This one: CDS 1 2022 See all 2 of this type
63 $x$
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Question 2
Number System. This type asked 2 times: CDS 1 2018, CDS 1 2022. This one: CDS 1 2022 See all 2 of this type
20 $What is the smallest natural number from the following which must be subtracted from 9410 to make the remaining number a perfect square?$
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Question 3
Quadratic Equations. This type asked 2 times: CDS 1 2018, CDS 1 2022. This one: CDS 1 2022 See all 2 of this type
23 $x$
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Question 4 (case study, 3 parts)
Circles. This type asked 2 times: CDS 1 2021, CDS 2 2021. This one: CDS 2 2021 See all 2 of this type
Consider the following for the next three (03) items that follow : $ABC$ is a triangle with sides $AB = 6$ cm, $BC = 10$ cm and $CA = 8$ cm. With vertices $A$ , $B$ and $C$ as centres, three circles are drawn each touching the other two externally.
81 $What is the sum of the radii of the circles ?$
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82 $A$
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83 $P$
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Question 5
Linear Equations. This type asked 2 times: CDS 1 2017, CDS 2 2021. This one: CDS 2 2021 See all 2 of this type
35 $The sum of numerator and denominator of a fraction is 10. If the numerator is increased by 3 and denominator is decreased by 1, the fraction becomes 1. What is the difference between numerator and denominator of the fraction ?$
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Question 1

Question 2

Question 3

Question 4 (case study, 3 parts)

Question 5