Day 16: CDS Maths

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

Question 1
Mensuration 3D. This type asked 4 times: CDS 2 2021, CDS 2 2022, CDS 1 2025, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type
76 $A room is L m long, B m wide and H m high. Further, L > B > H and L, B and H are integers. The length of the longest pole that can be placed in the room is 17 m and the length of the longest pole that can be placed on the floor is 15 m. What is the volume of the room ?$
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Question 2
Percentage, Profit and Loss. This type asked 4 times: CDS 2 2017, CDS 2 2021, CDS 1 2025, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type
27 $The ratio of the cost price of two articles X and Y is 1 : 2. A businessman earns a profit of p% by selling X and a loss of 3p% by selling Y. If he loses 20% in this transaction, then what is the value of p ?$
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Question 3
Polynomials. This type asked 4 times: CDS 1 2020, CDS 1 2025, CDS 1 2026, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type
3 $x^2 - 4x + 3$
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Question 4
Simple and Compound Interest. This type asked 4 times: CDS 2 2019, CDS 2 2023, CDS 1 2025, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type
28 $\log_{10} 2 = 0.301$
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Question 5
Surds, Indices and Simplification. This type asked 4 times: CDS 1 2019, CDS 1 2022, CDS 2 2023, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type
10 $x = 11 + 2\sqrt{30}$
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Question 1