PYQ Vault

Day 93: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 1 2022 (same type asked 5 times) See all 5 of this type

    72
    A farmland is in the shape of a rhombus. The perimeter of the land is 100 m and the length of one of the diagonals is 40 m. The land is divided into four equal parts. What is the area of each part?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 1 2024 (same type asked 5 times) See all 5 of this type

    38
    From a circular metal plate of radius 7 cm and thickness 0.16 mm, a sector is cut off containing an angle 150∘150^\circ. The remaining piece is moulded into a spherical bead of radius r. What is the value of r in cm ?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 1 2023 (same type asked 5 times) See all 5 of this type

    44
    For what values of mm, is mx2+mx+8x+9mx^2 + mx + 8x + 9 a perfect square ?

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  4. Question 4

    Quadrilaterals. Asked once: CDS 2 2025 (same type asked 5 times) See all 5 of this type

    90
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : The diagonals of a rhombus ABCD are in the ratio 5:125 : 12. Is one of the diagonals equal to side of the rhombus? Statement-I : The sum of the diagonals =34= 34 cm. Statement-II : The length of a side =13= 13 cm. Which one of the following is correct in respect of the above Question and the Statements?

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  5. Question 5 (case study, 2 parts)

    Statistics. Asked once: CDS 2 2023 (same type asked 5 times) See all 5 of this type

    A grouped frequency distribution is given below :
    Weekly wages in Rupees (Rs.)Numbers of workers
    2050 - 25505
    2550 - 305010
    3050 - 3550k
    3550 - 40508
    4050 - 45502
    4550 - 505010
    47
    If average weekly wages earned by a worker is Rs. 3,520, then what is the value of k ?

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    48
    What is the median (approximate value) of the distribution ?

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