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Day 12: CDS Maths

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

  1. Question 1

    Lines, Angles and Polygons. This type asked 5 times: CDS 2 2020, CDS 1 2022, CDS 1 2024, CDS 2 2024, CDS 2 2025. This one: CDS 2 2025 See all 5 of this type

    73
    The difference between an interior angle and an exterior angle of a regular polygon is 120∘120^\circ. What is the number of sides of the polygon?

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  2. Question 2

    Number System. This type asked 5 times: CDS 2 2018, CDS 1 2023, CDS 2 2024, CDS 1 2025, CDS 2 2025. This one: CDS 2 2025 See all 5 of this type

    30
    A number NN is such that when divided by 4, 6, 7 or 9, it leaves 3 as remainder. What is the smallest 4-digit number that satisfies this property?

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  3. Question 3

    Quadratic Equations. This type asked 5 times: CDS 2 2019, CDS 1 2020, CDS 1 2022, CDS 1 2023, CDS 2 2025. This one: CDS 2 2025 See all 5 of this type

    57
    If one root of the equation 2x2−5px+2p2=02x^2 - 5px + 2p^2 = 0 exceeds the other by 4, then what is the value of pp ?

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  4. Question 4

    Time, Speed and Distance. This type asked 5 times: CDS 1 2017, CDS 2 2018, CDS 2 2022, CDS 1 2024, CDS 2 2025. This one: CDS 2 2025 See all 5 of this type

    52
    Two persons XX and YY leave place PP for place QQ at 7:00 a.m. and 7:10 a.m. respectively along the same path. XX walks at a speed of 4.8 km/hr and YY walks at a speed of 6 km/hr. How many kilometres from place PP will XX meet YY?

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  5. Question 5

    Mensuration 2D. This type asked 5 times: CDS 1 2019, CDS 1 2020, CDS 1 2021, CDS 1 2023, CDS 1 2025. This one: CDS 1 2025 See all 5 of this type

    84
    An arc AB of a circle subtends an angle x radian at the centre O. If the area of the sector AOB is equal to half of the square of length of arc AB, then what is x equal to ?

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