PYQ Vault
EbooksTutor

Day 262: CDS Maths

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

  1. Question 1

    Surds, Indices and Simplification. Asked once: CDS 1 2022

    10
    If (x+1+x2)(y+1+y2)=1(x + \sqrt{1 + x^2})(y + \sqrt{1 + y^2}) = 1, where xx and yy are real numbers, then what is the value of (x+y)2(x + y)^2 ?

    Tap an option to check your answer.

  2. Question 2

    Time, Speed and Distance. Asked once: CDS 2 2022

    39
    X takes 3 hours longer than Y to walk 30 km. If X doubles his speed, he takes 2 hours less than Y. What is the speed of Y ?

    Tap an option to check your answer.

  3. Question 3

    Triangles. Asked once: CDS 1 2026

    57
    ABC is a triangle right-angled at B. If AC=(p+q)2AC = \frac{(p + q)}{2} and BC=(p−q)2BC = \frac{(p - q)}{2}, then which of the following statements is/are correct ? I. The value of AB is equal to the geometric mean of p and q. II. The perimeter of the triangle is p(q+1)p(q + 1). Select the answer using the code given below :

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 1 2025

    30
    If m2(sin⁡θ−1)+n2(sin⁡θ+1)=0m^2(\sin\theta - 1) + n^2(\sin\theta + 1) = 0, where 0<θ<π20 < \theta < \frac{\pi}{2}, then what is (m2+n2)cos⁡θ−(m2−n2)cot⁡θ(m^2 + n^2)\cos\theta - (m^2 - n^2)\cot\theta equal to ?

    Tap an option to check your answer.

  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 1 2025

    39
    If x2+y2+z2=3x^2 + y^2 + z^2 = 3, where x, y and z are integers, then how many values can (xy+yz+zx)(xy + yz + zx) have ?

    Tap an option to check your answer.