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eLitmus Sample Papers with Answers :: eLitmus Aptitude Test Paper

  1. The area of the triangle formed by the tangent and the normal to the parabola y2 = 4ax, both drawn at the same end of the latus rectum and the axis of the parabola is
  2. A.
    2 v2a2
    B.
    2a2
    C.
    4a2
    D.
    None of these

  3. The eccentricity of the eclipse 16x2 + 7y2 = 112 is
  4. A.
    4/3
    B.
    7/16
    C.
    3 / 17
    D.
    3 / 4

  5. A common tangent to the circle x2 + y2 = 16 and an ellipse x2 / 49 + y2 / 4 = 1 is
  6. A.
    y = x + 4v5
    B.
    y = x + v53
    C.
    y= x + z
    D.
    None of these

  7. If the hyperbolas x2 - y2 = a2 and xy = c2 are of equal size, then
  8. A.
    c2 = 2a2
    B.
    c = 2a
    C.
    2c2 = a2
    D.
    none of these

  9. If a circle cuts rectangles hyperbola xy = 1 in the point (xi, yi), i = 1, 2, 3, 4 then
  10. A.
    x1x2x3x4 = 0
    B.
    y1y2y3y4 = 1
    C.
    y1y2y3y4 = 0
    D.
    x1x2x3x4 = -1

  11. A boat M leaves shore A and at the same time boat B leaves shore B. They move across the river. They met at 500 yards away from A and after that they met 300 yards away from shore B without halting at shores. Find the distance between the shore A & B.
  12. A.
    1100 yards
    B.
    1200 yards
    C.
    1300 yards
    D.
    1400 yards

  13. Harish and Peter working separately can paint a building in 18 days and 24 days respectively. If they work for a day alternately, Harish beginning, in how many days, the painting work will be completed ?
  14. A.
    41/2 days.
    B.
    21/2 days
    C.
    63/4 days
    D.
    65/4 days

  15. A tank has two compartments I and II. Two taps X and Y, whose filling rates are in ratio of 2:1, are used to fill the tank. The ration fo time taken by tap X to fill compartment I and tap Y to fill compartment II is 16:25. Find the ratio of the times taken by tap X to fill compartment II and tap Y to fill compartment I.
  16. A.
    25:64
    B.
    16:25
    C.
    64:25
    D.
    4:5

  17. At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?
  18. A.
    p = q
    B.
    p < q
    C.
    p > q
    D.
    p = q/2

  19. A real number x satisfying 1- (1/n) ≤ 3 + (1/n), for every positive integer n, is best described by ≤
  20. A.
    1 < x < 4
    B.
    1 < x ≤ 3
    C.
    0 < x ≤4
    D.
    1 ≤ x ≤ 3