Quantitative Ability (Part 9 of 9)

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  1. Let S denote the infinite sum 2 + 5x + 9 × 2 + 14 × 3 + 20 × 4 + ________, where|x|< 1 and the coefficient of xn-1 is n (n + 3) (n = 1,2, …) , Then S equals
    1. 2 − x/ (1 − x) 3
    2. 2 − x/ (1 + x) 3
    3. 2 + x/ (1 − x) 3
    4. 2 + x/ (1 + x) 3

    Answer: a

  2. ABCD is a rectangle. The points p and Q lie on AD and AB respectively. If the triangles PAQ, QBC and PCD all have the same areas and BQ = 2, then AQ =
    1. 1 + v5
    2. 1 − v5
    3. v7
    4. 2v7

    Answer: a

  3. For which value of k does the following pair of equations yield a unique solution for x such that the solution is positive? x2 − y2 = 0 (x-k) 2 + y2 = 1
    1. 2
    2. 0
    3. v2
    4. -v2

    Answer: c

  4. In an examination, the average marks obtained by students who passed was x % , while the average of those who failed was y % . The average marks of all students taking the exam was z % . Find in terms of x, y and z, the percentage of students taking the exam who failed.
    1. (z-x) / (y-x)
    2. (x-z) / (y-z)
    3. (y-x) / (z-y)
    4. (y-z) / (x-z)

    Answer: a

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