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Day 242: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Time and Work. Asked once: CDS 2 2018

    10
    Two workers 'A' and 'B' working together completed a job in 5 days. Had 'A' worked twice as efficiently as he actually did and 'B' worked one-third as efficiently as he actually did, the work would have completed in 3 days. In how many days could 'A' alone complete the job ?

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  2. Question 2

    Time, Speed and Distance. Asked once: CDS 1 2025

    50
    A train of certain length takes time t to pass completely through a station of length x. The same train with same speed takes time 2t to pass completely through another station of length y. What is the time taken by the train to pass completely through a station of length (x+y)(x + y) ?

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  3. Question 3

    Triangles. Asked once: CDS 2 2026

    69
    If two similar scalene triangles ABC and PQR have the same area, then which of the following statements is/are correct ? I. Both the triangles are congruent. II. Both the triangles have equal perimeters. Select the answer using the code given below :

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  4. Question 4 (case study, 2 parts)

    Trigonometric Ratios and Identities. Asked once: CDS 1 2026

    For the next two (02) items that follow : p=sin⁡θ1+cos⁡θ+sin⁡θp = \frac{\sin\theta}{1 + \cos\theta + \sin\theta} and q=1+sin⁡θ1+sin⁡θ−cos⁡θq = \frac{1 + \sin\theta}{1 + \sin\theta - \cos\theta}
    99
    Which one of the following is correct ?

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    100
    What is (p+1q)(q+1p)\left(p + \frac{1}{q}\right)\left(q + \frac{1}{p}\right) equal to ?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 2 2025

    5
    If (x+1)(x+p)(x2+p2)=x4−1(x+1)(x+p)(x^2+p^2)=x^4-1, then what is the value of pp?

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