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Day 135: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type

    6
    AA is a set of positive integers such that when divided by 2, 3, 4, 5 and 6 leaves the remainder 1, 2, 3, 4 and 5 respectively. How many integers between 0 and 100 belong to the set AA ?

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  2. Question 2

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

    5
    If I=a2+b2+c2I = a^2 + b^2 + c^2, where aa and bb are consecutive integers and c=abc = ab, then II is

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  3. Question 3

    Percentage, Profit and Loss. Asked once: CDS 1 2017 (same type asked 2 times) See all 2 of this type

    39
    59\dfrac{5}{9}th part of the population in a village are males. If 30% of the males are married, the percentage of unmarried females in the total population is

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  4. Question 4

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

    33
    Consider the following in respect of the polynomial x4k+x4k+2+x4k+4+x4k+6x^{4k} + x^{4k+2} + x^{4k+4} + x^{4k+6} : 1. The remainder is zero when the polynomial is divided by x2+1x^2 + 1. 2. The remainder is zero when the polynomial is divided by x4+1x^4 + 1. Which of the statements given above is/are correct ?

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  5. Question 5

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

    42
    Let the positive numbers a1,a2,a3,…,a3na_1, a_2, a_3, \ldots, a_{3n} be in GP. If P is the GM of a1,a2,a3,…,ana_1, a_2, a_3, \ldots, a_n and Q is the GM of an+1,an+2,an+3,…,a3na_{n+1}, a_{n+2}, a_{n+3}, \ldots, a_{3n}, then what is the GM of 3n numbers ?

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