Day 41: CDS Maths

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

Question 1
Number System. This type asked 3 times: CDS 1 2019, CDS 2 2021, CDS 1 2023. This one: CDS 1 2023 See all 3 of this type
30 $There are four bells which ring at an interval of 15 minutes, 25 minutes, 35 minutes and 45 minutes respectively. If all of them ring at 9 A.M., how many more times will they ring together in the next 72 hours?$
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Question 2
Time and Work. This type asked 3 times: CDS 2 2016, CDS 2 2022, CDS 1 2023. This one: CDS 1 2023 See all 3 of this type
35 $Three taps A, B and C together can fill a tank in 6 hours. Tap C alone can fill the tank in 12 hours. To fill the tank, when it is empty, all the three taps are started together. After working t hours, tap C is closed and the tank is filled in 8 more hours. What is t equal to ?$
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Question 3
Algebraic Identities and Simplification. This type asked 3 times: CDS 1 2021, CDS 1 2022, CDS 2 2022. This one: CDS 2 2022 See all 3 of this type
12 $\frac{x^6 - 24x^4 + 144x^2}{(x^2 + 4\sqrt{3}x + 12)(x - 2\sqrt{3})^2}$
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Question 4
Sequence and Series. This type asked 3 times: CDS 2 2018, CDS 1 2020, CDS 2 2022. This one: CDS 2 2022 See all 3 of this type
61 $x$
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Question 5
Time, Speed and Distance. This type asked 3 times: CDS 2 2017, CDS 2 2021, CDS 2 2022. This one: CDS 2 2022 See all 3 of this type
23 $What is the angle between the hour hand and the minute hand of a clock when the clock shows 4 hours 40 minutes ?$
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Question 1

Question 2

Question 3

Question 4

Question 5