PYQ Vault

Day 193: CDS Maths

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

  1. Question 1

    Time, Speed and Distance. Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type

    41
    A car did a journey in t hours. Had the average speed been x kmph greater, the journey would have taken y hours less. How long was the journey ?

    Tap an option to check your answer.

  2. Question 2

    Triangles. Asked once: CDS 1 2025 (same type asked 5 times) See all 5 of this type

    15
    In a triangle ABC, the bisector of angle A cuts BC at D. If AB + AC = 10 cm and BD : DC = 3 : 1, then what is the length of AC ?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type

    54
    What is the maximum value of 3sin⁡θ−43 \sin \theta - 4 ?

    Tap an option to check your answer.

  4. Question 4

    Algebraic Identities and Simplification. Asked once: CDS 1 2020 (same type asked 5 times) See all 5 of this type

    50
    If (x8+1x8)=47\left(x^8 + \frac{1}{x^8}\right) = 47, what is the value of (x6+1x6)\left(x^6 + \frac{1}{x^6}\right)?

    Tap an option to check your answer.

  5. Question 5

    Heights and Distances. Asked once: CDS 1 2017 (same type asked 5 times) See all 5 of this type

    100
    From an aeroplane vertically over a straight horizontal road, the angles of depression of two consecutive kilometre-stones on the opposite sides of the aeroplane are observed to be α\alpha and β\beta. The height of the aeroplane above the road is

    Tap an option to check your answer.