PYQ Vault

Day 195: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 1 2020 (same type asked 5 times) See all 5 of this type

    12
    If α\alpha and β\beta are the roots of the quadratic equation x2+kx−15=0x^{2} + kx - 15 = 0 such that α−β=8\alpha - \beta = 8, then what is the positive value of kk ?

    Tap an option to check your answer.

  2. Question 2

    Time, Speed and Distance. Asked once: CDS 1 2017 (same type asked 5 times) See all 5 of this type

    44
    A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 8 km/hour and that of the policeman is 10 km/hour, then how far will the thief have to run before he is overtaken ?

    Tap an option to check your answer.

  3. Question 3

    Mensuration 2D. Asked once: CDS 1 2020 (same type asked 5 times) See all 5 of this type

    77
    Suppose a region is formed by removing a sector of 20∘20^\circ from a circular region of radius 30 feet. What is the area of this new region ?

    Tap an option to check your answer.

  4. Question 4

    Mensuration 3D. Asked once: CDS 1 2019 (same type asked 5 times) See all 5 of this type

    68
    A bucket is in the form of a truncated cone. The diameters of the base and top of the bucket are 6 cm and 12 cm respectively. If the height of the bucket is 7 cm, what is the capacity of the bucket ?

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type

    60
    Consider the following statements : 1. The value of cos⁡61∘+sin⁡29∘\cos 61^\circ + \sin 29^\circ cannot exceed 1. 2. The value of tan⁡23∘−cot⁡67∘\tan 23^\circ - \cot 67^\circ is less than 0. Which of the above statements is/are correct ?

    Tap an option to check your answer.