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Day 213: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 2 2017 (same type asked 3 times) See all 3 of this type

    15
    If (x+2)(x + 2) is a common factor of x2+ax+bx^2 + ax + b and x2+bx+ax^2 + bx + a, then the ratio a:ba : b is equal to

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  2. Question 2

    Polynomials. Asked once: CDS 2 2017 (same type asked 3 times) See all 3 of this type

    7
    If 5x3+5x2−6x+95x^3 + 5x^2 - 6x + 9 is divided by (x+3)(x + 3), then the remainder is

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  3. Question 3

    Number System. Asked once: CDS 2 2022 (same type asked 9 times) See all 9 of this type

    27
    Consider the question and two statements given below : A 2-digit number is added to the number formed by reversing the digits of the 2-digit number. Question : What is the 2-digit number ? Statement-1 : The sum is divisible by 9. Statement-2 : The sum is divisible by 2. Which one of the following is correct in respect of the question and the statements ?

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  4. Question 4

    Polynomials. Asked once: CDS 2 2023 (same type asked 9 times) See all 9 of this type

    19
    What is the HCF of acx3+bcx2+adx2+acdx+bdx+bcdacx^3 + bcx^2 + adx^2 + acdx + bdx + bcd and adx3+acx2+bdx2+bcx+acdx+bcdadx^3 + acx^2 + bdx^2 + bcx + acdx + bcd if HCF (c,d)=1\text{HCF}\,(c, d) = 1, c≠dc \ne d ?

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  5. Question 5

    Number System. Asked once: CDS 2 2020 (same type asked 8 times) See all 8 of this type

    19
    Let d(n)d(n) denote the number of positive divisors of a positive integer nn. Which of the following are correct ? 1. d(5)=d(11)d(5) = d(11) 2. d(5)⋅d(11)=d(55)d(5) \cdot d(11) = d(55) 3. d(5)+d(11)=d(16)d(5) + d(11) = d(16) Select the correct answer using the code given below :

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