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Day 154: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 1 2022 (same type asked 6 times) See all 6 of this type

    5
    Suppose pp and qq are the LCM and HCF respectively of two positive numbers. If p:q=14:1p : q = 14 : 1 and pq=1134pq = 1134, then what is the difference between the two numbers?

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  2. Question 2

    Quadratic Equations. Asked once: CDS 1 2023 (same type asked 6 times) See all 6 of this type

    21
    If α\alpha and β\beta are the roots of the equation x2−7x+1=0x^2 - 7x + 1 = 0, then what is the value of α4+β4\alpha^4 + \beta^4?

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  3. Question 3

    Time and Work. Asked once: CDS 2 2018 (same type asked 6 times) See all 6 of this type

    40
    Twelve (12) men work 8 hours per day and require 10 days to build a wall. If 8 men are available, how many hours per day must they work to finish the work in 8 days ?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 2 2020 (same type asked 6 times) See all 6 of this type

    53
    A road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 42∘42^\circ in distance of 44 m ? (Assume π=227\pi = \dfrac{22}{7})

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  5. Question 5

    Mensuration 2D. Asked once: CDS 1 2019 (same type asked 6 times) See all 6 of this type

    43
    A piece of wire is in the form of a sector of a circle of radius 20 cm, subtending an angle 150∘150^\circ at the centre. If it is bent in the form of a circle, then what will be its radius ?

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