PYQ Vault
EbooksTutor

Day 251: CDS Maths

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

  1. Question 1

    Quadrilaterals. Asked once: CDS 1 2026

    54
    Let ABCD be a parallelogram and E be the midpoint of BC. The diagonal BD and line segment AE intersects at F. If BF=2.4BF = 2.4 cm, then what is BD equal to ?

    Tap an option to check your answer.

  2. Question 2

    Ratio, Proportion and Variation. Asked once: CDS 2 2021

    24
    If (2ab−b2):(6a2−ab)=1:6(2ab-b^2):(6a^2-ab)=1:6, then what is (a+b):(a−b)(a+b):(a-b) equal to ?

    Tap an option to check your answer.

  3. Question 3

    Sequence and Series. Asked once: CDS 1 2019

    33
    If 0<θ<90∘0 < \theta < 90^\circ, sin⁡θ=35\sin\theta = \dfrac{3}{5} and x=cot⁡θx = \cot\theta, then what is the value of 1+3x+9x2+27x3+81x4+243x51 + 3x + 9x^2 + 27x^3 + 81x^4 + 243x^5 ?

    Tap an option to check your answer.

  4. Question 4

    Sets. Asked once: CDS 1 2023

    89
    Let X={x∣x=2+4k, where k=0, 1, 2, 3,…24}X = \{x \mid x = 2 + 4k, \text{ where } k = 0,\ 1,\ 2,\ 3, \ldots 24\}. Let S be a subset of X such that the sum of no two elements of S is 100. What is the maximum possible number of elements in S ?

    Tap an option to check your answer.

  5. Question 5

    Simple and Compound Interest. Asked once: CDS 2 2020

    16
    The simple interest on a certain sum is one-fourth of the sum. If the number of years and the rate of annual interest are numerically equal, then the number of years is

    Tap an option to check your answer.