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Day 69: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Number System. This type asked 2 times: CDS 2 2022, CDS 1 2025. This one: CDS 1 2025 See all 2 of this type

    43
    There are two natural numbers m and n (m>n)(m > n). When m is divided by 12, it leaves a remainder 4. When n is divided by 12, it leaves a remainder 6. Which of the following statements is/are correct ? I. The remainder when (m+n)(m + n) is divided by 12 is 10. II. The remainder when (m−n)(m - n) is divided by 12 is 10. Select the correct answer using the code given below :

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  2. Question 2

    Ratio, Proportion and Variation. This type asked 2 times: CDS 1 2024, CDS 1 2025. This one: CDS 1 2025 See all 2 of this type

    44
    If (x+y):(y+z):(z+x)=3:5:6(x + y) : (y + z) : (z + x) = 3 : 5 : 6 and x+y+z=14x + y + z = 14, then what is x2+y2+z2x^2 + y^2 + z^2 equal to ?

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  3. Question 3 (case study, 2 parts)

    Statistics. This type asked 2 times: CDS 1 2017, CDS 1 2025. This one: CDS 1 2025 See all 2 of this type

    Consider the following for the next two (02) items that follow : The frequency distribution of marks obtained by students in an English examination is given below :
    Marks obtainedNumber of Students
    Below 4050
    Below 50125
    Below 60210
    Below 70315
    Below 80350
    91
    What is the number of students who scored between 60 and 70 marks ?

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    92
    What is the number of students who scored more than 50 marks ?

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  4. Question 4

    Statistics. This type asked 2 times: CDS 1 2021, CDS 1 2025. This one: CDS 1 2025 See all 2 of this type

    99
    Marks obtained by 60 students in a test (Maximum Marks-100) are given below : 60, 82, 63, 40, 88, 80, 24, 60, 09, 58, 44, 74 57, 60, 63, 30, 31, 64, 00, 62, 37, 54, 10, 99 35, 83, 58, 33, 92, 43, 66, 41, 78, 72, 32, 33 65, 11, 60, 17, 53, 93, 57, 03, 29, 31, 82, 50 63, 15, 41, 55, 72, 42, 32, 23, 30, 48, 67, 34 What is the percentage (approximate) of students getting marks higher than or equal to 60 but less than 80 ?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 2 times: CDS 2 2023, CDS 1 2025. This one: CDS 1 2025 See all 2 of this type

    34
    For how many values of α\alpha does the expression (sin⁡α+2)(sin⁡α+4)(sin⁡α−2)(sin⁡α−4)(\sin\alpha + 2)(\sin\alpha + 4)(\sin\alpha - 2)(\sin\alpha - 4) become zero ?

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