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Day 345: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 1 2018

    38
    Three numbers which are co-prime to each other, are such that the product of the first two is 286 and that of the last two is 770. What is the sum of the three numbers?

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  2. Question 2

    Triangles. Asked once: CDS 1 2017

    84
    ABC is a triangle and D is a point on the side BC. If BC = 12 cm, BD = 9 cm and ∠ADC=∠BAC\angle ADC = \angle BAC, then the length of AC is equal to

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  3. Question 3

    Mensuration 2D. Asked once: CDS 1 2018

    71
    A region of area A bounded by a circle C is divided into n regions, each of area A/n, by drawing circles of radii r1,r2,r3,…rn−1r_1, r_2, r_3, \ldots r_{n-1} such that r1<r2<r3<…rn−1r_1 < r_2 < r_3 < \ldots r_{n-1} concentric with the circle C. If pm=rm+1rmp_m = \dfrac{r_{m+1}}{r_m} where m=1,2,3,…(n−2)m = 1, 2, 3, \ldots (n-2), then which one of the following is correct ?

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  4. Question 4

    Number System. Asked once: CDS 1 2018

    23
    What is the difference between 0.9‾0.\overline{9} and 0.90.9?

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  5. Question 5

    Triangles. Asked once: CDS 2 2016

    46
    Let ABCABC be a right angled triangle with BC=5BC = 5 cm and AC=12AC = 12 cm. Let DD be a point on the hypotenuse ABAB such that ∠BCD=30∘\angle BCD = 30^\circ. What is length of CDCD ?

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