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Day 131: 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 2 times) See all 2 of this type

    37
    Consider the following statements : 1. n3−nn^3 - n is divisible by 6. 2. n5−nn^5 - n is divisible by 5. 3. n5−5n3+4nn^5 - 5n^3 + 4n is divisible by 120. Which of the statements given above are correct ?

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  2. Question 2

    Percentage, Profit and Loss. Asked once: CDS 2 2020 (same type asked 2 times) See all 2 of this type

    29
    The number of items in a booklet is NN. In the first year there is an increase of xx% in this number and in the subsequent year there is a decrease of xx%. At the end of the two years, what will be the number of items in the booklet ?

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  3. Question 3

    Polynomials. Asked once: CDS 1 2020 (same type asked 2 times) See all 2 of this type

    22
    If f(x)f(x) is divided by (x−α)(x−β)(x - \alpha)(x - \beta) where α≠β\alpha \ne \beta, then what is the remainder ?

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  4. Question 4

    Quadrilaterals. Asked once: CDS 1 2024 (same type asked 2 times) See all 2 of this type

    48
    In a quadrilateral ABCD, AB = 6 cm, BC = 18 cm, CD = 6 cm and DA = 10 cm. If diagonal BD = x, then which one of the following is correct ?

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  5. Question 5

    Statistics. Asked once: CDS 2 2018 (same type asked 2 times) See all 2 of this type

    59
    Let xˉ1\bar{x}_1 and xˉ2\bar{x}_2 (where xˉ2>xˉ1\bar{x}_2 > \bar{x}_1) be the means of two sets comprising n1n_1 and n2n_2 (where n2<n1n_2 < n_1) observations respectively. If xˉ\bar{x} is the mean when they are pooled, then which one of the following is correct ?

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