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Day 216: CDS Maths

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

  1. Question 1

    Averages. Asked once: CDS 1 2017 (same type asked 6 times) See all 6 of this type

    56
    Let a,b,c,d,e,f,ga, b, c, d, e, f, g be consecutive even numbers and j,k,l,m,nj, k, l, m, n be consecutive odd numbers. What is the average of all the numbers ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 1 2019 (same type asked 6 times) See all 6 of this type

    35
    What is the value of sin⁡19∘cos⁡71∘+cos⁡73∘sin⁡17∘\dfrac{\sin 19^\circ}{\cos 71^\circ} + \dfrac{\cos 73^\circ}{\sin 17^\circ} ?

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  3. Question 3

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

    61
    A hollow sphere of external and internal diameters 6 cm and 4 cm respectively is melted into a cone of base diameter 8 cm. What is the height of the cone ?

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  4. Question 4

    Mensuration 3D. Asked once: CDS 2 2016 (same type asked 4 times) See all 4 of this type

    45
    Into a conical tent of radius 8.4 m and vertical height 3.5 m, how many full bags of wheat can be emptied, if space required for the wheat in each bag is 1.96 m31.96\ \text{m}^3 ?

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  5. Question 5

    Number System. Asked once: CDS 2 2021 (same type asked 9 times) See all 9 of this type

    32
    A two-digit number is such that the product of the digits is 8. If 63 is added to this number, the digits interchange their places. What is the sum of the digits in the number ?

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