PYQ Vault

Day 134: CDS Maths

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: CDS 1 2024 (same type asked 2 times) See all 2 of this type

    46
    If (a+b):(b+c):(c+a)=5:7:6(a + b) : (b + c) : (c + a) = 5 : 7 : 6, then what is the value of (a−b+c):(a+b−c)(a - b + c) : (a + b - c) ?

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  2. Question 2

    Statistics. Asked once: CDS 1 2017 (same type asked 2 times) See all 2 of this type

    58
    Consider the following frequency distribution :
    xFrequencyCumulative frequency
    188
    21018
    3f1f_129
    4f2f_245
    What are the values of f1f_1 and f2f_2 respectively ?

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  3. Question 3

    Statistics. Asked once: CDS 1 2021 (same type asked 2 times) See all 2 of this type

    92
    The following table shows the marks of 90 students in a test of 80 marks :
    MarksNumber of students
    1-105
    11-208
    21-3010
    31-4013
    41-5018
    51-6017
    61-7012
    71-807
    The percentage of students who have obtained less than or equal to 50% marks is

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 2 2023 (same type asked 2 times) See all 2 of this type

    29
    How many values of θ\theta will satisfy the equation (sin⁡2θ−4sin⁡θ+3)(4−cos⁡2θ+4sin⁡θ)=0(\sin^2\theta - 4\sin\theta + 3)(4 - \cos^2\theta + 4\sin\theta) = 0, where 0<θ<π20 < \theta < \dfrac{\pi}{2} ?

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  5. Question 5

    Averages. Asked once: CDS 1 2017 (same type asked 2 times) See all 2 of this type

    57
    An individual purchases three qualities of pencils. The relevant data is given below :
    QualityPrice per pencil (in Rs.)Money spent (in Rs.)
    A1.0050
    B1.50x
    C2.0020
    It is known that the average price per pencil is Rs. 1.25. What is the value of xx ?

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