PYQ Vault
EbooksTutor

Day 250: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 1 2025

    13
    The inside of a bowl is part of a sphere. When water is put into the bowl to a depth dd, the water surface becomes a circle of radius 2d2d. What is the radius of the sphere ?

    Tap an option to check your answer.

  2. Question 2

    Number System. Asked once: CDS 2 2025

    20
    Let pp and qq be two natural numbers such that (p+q)p+q(p+q)^{p+q} is divisible by 512. What is the least value of (p+q)(p+q)?

    Tap an option to check your answer.

  3. Question 3

    Percentage, Profit and Loss. Asked once: CDS 1 2023

    13
    Twelve percent of bananas bought by a fruit vendor got lost during transportation. On selling the remaining bananas, the vendor's overall profit turned out to be 4%. If the vendor had not lost any bananas and had sold them at the price of the remaining bananas, what would have been his profit percentage?

    Tap an option to check your answer.

  4. Question 4

    Polynomials. Asked once: CDS 2 2024

    88
    If x3+px2+qx+rx^3 + px^2 + qx + r is an integer for all integral values of xx, then consider the following statements : I. pp must be an integer II. qq must be an integer III. rr must be an integer Which of the statements given above is/are correct ?

    Tap an option to check your answer.

  5. Question 5

    Quadratic Equations. Asked once: CDS 1 2025

    8
    If α\alpha and β\beta are the roots of the equation x+a+b=abxab+ax+bxx + a + b = \dfrac{abx}{ab + ax + bx}, then what is (αβ+α+β)(\alpha\beta + \alpha + \beta) equal to ?

    Tap an option to check your answer.