PYQ Vault
EbooksTutor

Day 333: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 2 2019

    60
    Consider the following for real numbers α,β,γ\alpha, \beta, \gamma and δ\delta : 1. sec⁡α=1/4\sec \alpha = 1/4 2. tan⁡β=20\tan \beta = 20 3. cosec⁡γ=1/2\operatorname{cosec} \gamma = 1/2 4. cos⁡δ=2\cos \delta = 2 How many of the above statements are not possible ?

    Tap an option to check your answer.

  2. Question 2

    Algebraic Identities and Simplification. Asked once: CDS 1 2017

    15
    If xy=245+yx\sqrt{\dfrac{x}{y}} = \dfrac{24}{5} + \sqrt{\dfrac{y}{x}} and x+y=26x + y = 26, then what is the value of xyxy ?

    Tap an option to check your answer.

  3. Question 3

    Mensuration 2D. Asked once: CDS 2 2019

    81
    A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle ?

    Tap an option to check your answer.

  4. Question 4

    Mensuration 3D. Asked once: CDS 2 2017

    57
    A hollow cube is formed by joining six identical squares. A rectangular cello tape of length 4 cm and breadth 0.5 cm is used for joining each pair of edges. What is the total area of cello tape used ?

    Tap an option to check your answer.

  5. Question 5

    Number System. Asked once: CDS 2 2019

    6
    Priya's age was cube of an integral number (different from 1) four years ago and square of an integral number after four years. How long should she wait so that her age becomes square of a number in the previous year and cube of a number in the next year ?

    Tap an option to check your answer.