PYQ Vault

Day 192: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 1 2021 (same type asked 5 times) See all 5 of this type

    66
    A conical vessel whose internal radius is 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. What is the height to which the water rises?

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  2. Question 2

    Quadratic Equations. Asked once: CDS 2 2017 (same type asked 5 times) See all 5 of this type

    22
    If the roots of the equation a(b−c)x2+b(c−a)x+c(a−b)=0a (b - c) x^2 + b (c - a) x + c (a - b) = 0 are equal, then which one of the following is correct ?

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  3. Question 3

    Quadrilaterals. Asked once: CDS 2 2017 (same type asked 5 times) See all 5 of this type

    80
    The diagonals of a rhombus are of length 20 cm and 48 cm. What is the length of a side of the rhombus ?

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  4. Question 4

    Time, Speed and Distance. Asked once: CDS 2 2017 (same type asked 5 times) See all 5 of this type

    40
    A boy went to his school at a speed of 12 km/hr and returned to his house at a speed of 8 km/hr. If he has taken 50 minutes for the whole journey, what was the total distance walked ?

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  5. Question 5

    Time, Speed and Distance. Asked once: CDS 2 2017 (same type asked 5 times) See all 5 of this type

    45
    A man rows down a river 18 km in 4 hours with the stream and returns in 10 hours. Consider the following statements : 1. The speed of the man against the stream is 1.8 km/hr. 2. The speed of the man in still water is 3.15 km/hr. 3. The speed of the stream is 1.35 km/hr. Which of the above statements are correct ?

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