PYQ Vault
EbooksTutor

Day 27: CDS Maths

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

  1. Question 1

    Polynomials. Asked 3 times: CDS 2 2018*, CDS 2 2020*, CDS 1 2026 (* = numbers or wording changed that year) See all 3 times it was asked

    7
    The LCM and HCF of two polynomials p(x) and q(x) are (x+a)(x3−a3)(x + a)(x^3 - a^3) and (x2−ax+a2)(x^2 - ax + a^2), respectively. If p(x)=x4+a2x2+a4p(x) = x^4 + a^2x^2 + a^4, then what is q(x) equal to ?

    Tap an option to check your answer.

  2. Question 2

    Statistics. Asked 3 times: CDS 2 2022*, CDS 2 2023*, CDS 1 2026 (* = numbers or wording changed that year) See all 3 times it was asked

    39
    The sum of the deviations of a set of n numbers x1,x2,x3,…,xnx_1, x_2, x_3, \ldots, x_n measured from 15 is −90-90 and the sum of the deviations of the same numbers measured from −3-3 is 54. What is the arithmetic mean ?

    Tap an option to check your answer.

  3. Question 3

    Surds, Indices and Simplification. Asked 3 times: CDS 2 2020*, CDS 1 2022*, CDS 2 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    8
    What is 110+9+111+10+112+11+…+1196+195\frac{1}{\sqrt{10} + \sqrt{9}} + \frac{1}{\sqrt{11} + \sqrt{10}} + \frac{1}{\sqrt{12} + \sqrt{11}} + \ldots + \frac{1}{\sqrt{196} + \sqrt{195}} equal to ?

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Ratios and Identities. Asked 3 times: CDS 2 2018*, CDS 2 2023, CDS 1 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    32
    If 3sin⁡θ+5cos⁡θ=53 \sin \theta + 5 \cos \theta = 5, then what is the value of 5sin⁡θ−3cos⁡θ5 \sin \theta - 3 \cos \theta ?

    Tap an option to check your answer.

  5. Question 5

    Circles. Asked 3 times: CDS 2 2016*, CDS 2 2021*, CDS 2 2022 (* = numbers or wording changed that year) See all 3 times it was asked

    88
    Two circles touch externally. The sum of their areas is 89π89\pi square cm and the distance between their centres is 13 cm. What is the difference in their radii ?

    Tap an option to check your answer.