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Day 160: CDS Maths

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

  1. Question 1

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

    10
    Which one of the following is the largest divisor of 3x+3x+1+3x+23^{x} + 3^{x+1} + 3^{x+2}, if xx is any natural number ?

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  2. Question 2

    Number System. Asked once: CDS 1 2017 (same type asked 5 times) See all 5 of this type

    46
    Consider the following statements : 1. Of two consecutive integers, one is even. 2. Square of an odd integer is of the form 8n+18n + 1. Which of the above statements is/are correct ?

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  3. Question 3

    Polynomials. Asked once: CDS 1 2021 (same type asked 5 times) See all 5 of this type

    14
    If (x−k)(x - k) is the HCF of x2+ax+bx^2 + ax + b and x2+cx+dx^2 + cx + d, then what is the value of kk?

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  4. Question 4

    Lines, Angles and Polygons. Asked once: CDS 1 2022 (same type asked 5 times) See all 5 of this type

    1
    What is the ratio of interior angle to exterior angle of a regular polygon of nn sides?

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  5. Question 5

    Number System. Asked once: CDS 2 2024 (same type asked 5 times) See all 5 of this type

    7
    Let NN be the least positive multiple of 11 that leaves a remainder of 5 when divided by 6, 12, 15, 18. Which one of the following is correct ?

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