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Day 339: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 2 2017

    50
    If A=sin⁡45∘−sin⁡30∘cos⁡45∘+cos⁡60∘A = \frac{\sin 45^\circ - \sin 30^\circ}{\cos 45^\circ + \cos 60^\circ} and B=sec⁡45∘−tan⁡45∘cosec⁡45∘+cot⁡45∘B = \frac{\sec 45^\circ - \tan 45^\circ}{\operatorname{cosec} 45^\circ + \cot 45^\circ}, then which one of the following is correct ?

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  2. Question 2

    Mensuration 2D. Asked once: CDS 2 2018

    98
    In the figure given below, the diameter of bigger semicircle is 108 cm. What is the area of the shaded region ?

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  3. Question 3

    Mensuration 3D. Asked once: CDS 2 2016

    44
    A cubic metre of copper weighing 9000 kg is rolled into a square bar 9 m long. An exact cube is cut off from the bar. How much does the cube weigh ?

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  4. Question 4

    Number System. Asked once: CDS 1 2019

    78
    Let xx be the smallest positive integer such that when 14 divides xx, the remainder is 7; and when 15 divides xx, the remainder is 5. Which one of the following is correct ?

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  5. Question 5

    Triangles. Asked once: CDS 2 2017

    65
    In an equilateral triangle ABC, BD is drawn perpendicular to AC. What is BD2BD^2 equal to ?

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