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Day 145: CDS Maths

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type

    36
    XX and YY entered into partnership with Rs. 700 and Rs. 600 respectively. After 3 months XX withdrew 2/7 of his stock but after 3 months, he puts back 3/5 of what he had withdrawn. The profit at the end of the year is Rs. 726. How much of this should XX receive ?

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  2. Question 2

    Time, Speed and Distance. Asked once: CDS 2 2019 (same type asked 2 times) See all 2 of this type

    5
    Three cars A, B and C started from a point at 5 p.m., 6 p.m. and 7 p.m. respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and xx km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of xx ?

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  3. Question 3

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

    78
    In a triangle ABC, if 2∠A=3∠B=6∠C2 \angle A = 3 \angle B = 6 \angle C, then what is ∠A+∠C\angle A + \angle C equal to ?

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  4. Question 4

    Circles. Asked once: CDS 2 2019 (same type asked 2 times) See all 2 of this type

    87
    Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10310\sqrt{3} cm, then what is the diameter of the circle ?

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  5. Question 5

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

    58
    Two straight lines AB and AC include an angle. A circle is drawn in this angle which touches both these lines. One more circle is drawn which touches both these lines as well as the previous circle. If the area of the bigger circle is 9 times the area of the smaller circle, then what must be the angle A ?

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