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Day 205: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 1 2023 (same type asked 9 times) See all 9 of this type

    9
    The sum of digits of a 2-digit number is 12. When the digits are reversed, the number becomes greater by eighteen. What is the difference between the digits in the number?

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  2. Question 2

    Polynomials. Asked once: CDS 1 2024 (same type asked 9 times) See all 9 of this type

    23
    What is the HCF of x4−13x2y2−300y4x^4 - 13x^2y^2 - 300y^4, x3−4x2y−4xy2−5y3x^3 - 4x^2y - 4xy^2 - 5y^3 and x3−125y3x^3 - 125y^3 ?

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  3. Question 3

    Number System. Asked once: CDS 2 2022 (same type asked 8 times) See all 8 of this type

    21
    Consider the number N=126×38×53N = 12^6 \times 3^8 \times 5^3. Which of the following statements is/are correct ? 1. The number of odd factors of N is 60. 2. The number of even factors of N is 720. Select the correct answer using the code given below :

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 1 2020 (same type asked 8 times) See all 8 of this type

    63
    If θ\theta lies in the first quadrant and cot⁡θ=6316\cot\theta = \frac{63}{16}, then what is the value of (sin⁡θ+cos⁡θ)(\sin\theta + \cos\theta) ?

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  5. Question 5

    Number System. Asked once: CDS 2 2024 (same type asked 8 times) See all 8 of this type

    25
    What is the remainder when 32553^{255} is divided by 28 ?

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