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Day 234: CDS Maths

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

  1. Question 1

    Logarithms. Asked once: CDS 1 2025

    19
    What is log⁡102000+log⁡10400+4log⁡1025+5log⁡1020\log_{10} 2000 + \log_{10} 400 + 4 \log_{10} 25 + 5 \log_{10} 20 equal to ?

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  2. Question 2

    Mensuration 2D. Asked once: CDS 2 2024

    82
    There are nn concentric squares. The area of the innermost square is 1 unit and the distance between corresponding corners of any two consecutive squares is 1 unit. Consider the following statements : I. The diagonal of the nnth square is 2n+2−22n + \sqrt{2} - 2 II. The area included between nnth square and (n−1)(n - 1)th square is independent of nn Which of the statements given above is/are correct ?

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  3. Question 3

    Mensuration 3D. Asked once: CDS 2 2026

    73
    A cubical wooden block of length 10 cm is sliced to produce a cross-section of maximum area. What is the area of the cross-section ?

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  4. Question 4

    Number System. Asked once: CDS 1 2026

    22
    If the HCF of p and q (p>q)(p > q) is G, then which of the following statements is/are correct ? I. HCF of p and (p+q)(p + q) is G II. HCF of p, (p−q)(p - q) is G Select the answer using the code given below :

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  5. Question 5

    Percentage, Profit and Loss. Asked once: CDS 2 2025

    56
    Two students XX and YY appeared in a test. The score of XX is 20 more than that of YY. If the score of XX is 75%75\% of the sum of the scores of XX and YY, then what is the ratio of score of XX to score of YY ?

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