PYQ Vault

Day 179: CDS Maths

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

  1. Question 1

    Sequence and Series. Asked once: CDS 1 2018 (same type asked 3 times) See all 3 of this type

    52
    The arithmetic mean of two numbers is 10 and their geometric mean is 8. What are the two numbers?

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  2. Question 2

    Sequence and Series. Asked once: CDS 2 2016 (same type asked 3 times) See all 3 of this type

    25
    What is 1+112+122+1+122+132+…+1+120072+120082\sqrt{1 + \frac{1}{1^2} + \frac{1}{2^2}} + \sqrt{1 + \frac{1}{2^2} + \frac{1}{3^2}} + \ldots + \sqrt{1 + \frac{1}{2007^2} + \frac{1}{2008^2}} equal to ?

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  3. Question 3

    Statistics. Asked once: CDS 2 2016 (same type asked 3 times) See all 3 of this type

    88
    The median of set of 9 distinct observations is 20.520.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

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  4. Question 4

    Time, Speed and Distance. Asked once: CDS 1 2017 (same type asked 3 times) See all 3 of this type

    31
    A passenger train departs from Delhi at 6 p.m. for Mumbai. At 9 p.m., an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km ?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 1 2020 (same type asked 3 times) See all 3 of this type

    17
    If x2+9y2=6xyx^{2} + 9y^{2} = 6xy, then what is y:xy : x equal to ?

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