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Day 48: CDS Maths

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

  1. Question 1

    Number System. Asked 2 times: CDS 1 2024*, CDS 2 2025 (* = numbers or wording changed that year) See all 2 times it was asked

    29
    What is the digit at hundreds place of the number (25)10(25)^{10}?

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  2. Question 2

    Polynomials. Asked 2 times: CDS 1 2017*, CDS 2 2025 (* = numbers or wording changed that year) See all 2 times it was asked

    9
    (x+2)(x+2) is a factor of which one of the following?

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  3. Question 3

    Simple and Compound Interest. Asked 2 times: CDS 1 2017*, CDS 2 2025 (* = numbers or wording changed that year) See all 2 times it was asked

    58
    An amount of Rs. 10,000 is borrowed at 10%10\% per annum on compound interest for 3 years, compounded annually, and paid back in 3 equal annual installments during these years. What is the amount of each installment (approximately)?

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  4. Question 4

    Simple and Compound Interest. Asked 2 times: CDS 2 2019*, CDS 1 2025 (* = numbers or wording changed that year) See all 2 times it was asked

    49
    What is the least number of complete years in which a sum of money put out at 20% compound interest (compounded annually) will be more than doubled ?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked 2 times: CDS 2 2023*, CDS 1 2025 (* = numbers or wording changed that year) See all 2 times it was asked

    33
    If tan⁡θ=sin⁡α−cos⁡αsin⁡α+cos⁡α\tan\theta = \frac{\sin\alpha - \cos\alpha}{\sin\alpha + \cos\alpha}, where θ\theta and α\alpha (α≠π4)\left(\alpha \ne \frac{\pi}{4}\right) are acute angles, then what is 2sin⁡θ\sqrt{2}\sin\theta equal to ?

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