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Day 194: 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 5 times) See all 5 of this type

    30
    2122+462+842+464+21302^{122} + 4^{62} + 8^{42} + 4^{64} + 2^{130} is divisible by which one of the following integers ?

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  2. Question 2

    Number System. Asked once: CDS 2 2016 (same type asked 5 times) See all 5 of this type

    27
    Consider the following statements in respect of positive odd integers xx and yy : 1. x2+y2x^2 + y^2 is even integer. 2. x2+y2x^2 + y^2 is divisible by 4. Which of the above statements is/are correct ?

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  3. Question 3

    Polynomials. Asked once: CDS 1 2020 (same type asked 5 times) See all 5 of this type

    14
    If (x+k)(x + k) is the HCF of x2+5x+6x^{2} + 5x + 6 and x2+8x+15x^{2} + 8x + 15, then what is the value of kk ?

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  4. Question 4

    Lines, Angles and Polygons. Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type

    75
    If the sum of all interior angles of a regular polygon is twice the sum of all its exterior angles, then the polygon is

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  5. Question 5

    Number System. Asked once: CDS 1 2023 (same type asked 5 times) See all 5 of this type

    18
    What is the largest 5-digit number, which leaves remainder 7, when divided by 18 as well as by 11?

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