PYQ Vault
EbooksTutor

Day 331: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 1 2020

    75
    A square and a rectangle have equal areas. If one side of the rectangle is of length numerically equal to the square of the length of the side of the square then the other side of the rectangle is

    Tap an option to check your answer.

  2. Question 2

    Mensuration 3D. Asked once: CDS 2 2017

    70
    A cylinder of height 2x is circumscribed by a sphere of radius 2x such that the circular ends of the cylinder are two small circles on the sphere. What is the ratio of the curved surface area of the cylinder to the surface area of the sphere ?

    Tap an option to check your answer.

  3. Question 3

    Number System. Asked once: CDS 1 2020

    18
    If mm and nn are positive integers such that mn=1331m^{n} = 1331, then what is the value of (m−1)n−1(m - 1)^{n-1} ?

    Tap an option to check your answer.

  4. Question 4

    Triangles. Asked once: CDS 1 2019

    36
    The perimeter of a triangle is 22 cm. Through each vertex of the triangle, a straight line parallel to the opposite side is drawn. What is the perimeter of triangle formed by these lines ?

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 2 2019

    56
    There are two parallel streets each directed North to South. A person in the first street travelling from South to North wishes to take the second street which is on his right side. At some place, he makes a 150∘150^\circ turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60∘60^\circ and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets ?

    Tap an option to check your answer.