Day 100: CDS Maths

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

Question 1
Data Interpretation. Asked once: CDS 1 2020 (same type asked 4 times) See all 4 of this type
36 $1 : 2 : 3$
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Question 2
Heights and Distances. Asked once: CDS 1 2025 (same type asked 4 times) See all 4 of this type
25 $60^\circ$
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Question 3 (case study, 2 parts)
Mensuration 3D. Asked once: CDS 1 2025 (same type asked 4 times) See all 4 of this type
A hall is of length $l$ , breadth b and height h. The maximum distance between any two points (say P and Q) inside the hall is 14 m, whereas the maximum distance between two points (say P and R) on the floor is $6\sqrt{5}$ m.
61 $What is h equal to ?$
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62 $\alpha$
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Question 4
Percentage, Profit and Loss. Asked once: CDS 1 2025 (same type asked 4 times) See all 4 of this type
71 $A person sells article X for Rs. 34,500 and makes a profit of 15%. He sells article Y at a loss of 10%. He neither loses nor gains on the whole because of these two transactions. What is the selling price of article Y ?$
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Question 5 (case study, 2 parts)
Polynomials. Asked once: CDS 1 2026 (same type asked 4 times) See all 4 of this type
For the next two (02) items that follow : $x^4 + px^3 + qx^2 + x + 6$ is divisible by $x^2 - x - 6$ .
81 $What is the value of p ?$
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82 $What is the value of q ?$
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Question 1