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MCQs

Total Questions : 72 | Page 2 of 8 pages
Question 11. The eccentricity of the eclipse 16x2 + 7y2 = 112 is
  1.    4/3
  2.    7/16
  3.    3 / 17
  4.    3 / 4
 Discuss Question
Answer: Option D. -> 3 / 4




Question 12. 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
  1.    2 v2a2
  2.    2a2
  3.    4a2
  4.    None of these
 Discuss Question
Answer: Option C. -> 4a2




Question 13. If the hyperbolas x2 - y2 = a2 and xy = c2 are of equal size, then
  1.    c2 = 2a2
  2.    c = 2a
  3.    2c2 = a2
  4.    none of these
 Discuss Question
Answer: Option C. -> 2c2 = a2




Question 14. If a circle cuts rectangles hyperbola xy = 1 in the point (xi, yi), i = 1, 2, 3, 4 then
  1.    x1x2x3x4 = 0
  2.    y1y2y3y4 = 1
  3.    y1y2y3y4 = 0
  4.    x1x2x3x4 = -1
 Discuss Question
Answer: Option B. -> y1y2y3y4 = 1




Question 15. A common tangent to the circle x2 + y2 = 16 and an ellipse x2 / 49 + y2 / 4 = 1 is
  1.    y = x + 4v5
  2.    y = x + v53
  3.    y= x + z
  4.    None of these
 Discuss Question
Answer: Option D. -> None of these




Question 16. 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.
  1.    1100 yards
  2.    1200 yards
  3.    1300 yards
  4.    1400 yards
 Discuss Question
Answer: Option B. -> 1200 yards




Question 17. 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.
  1.    25:64
  2.    16:25
  3.    64:25
  4.    4:5
 Discuss Question
Answer: Option A. -> 25:64




Question 18. 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 ?
  1.    41/2 days.
  2.    21/2 days
  3.    63/4 days
  4.    65/4 days
 Discuss Question
Answer: Option A. -> 41/2 days.




Question 19. 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?
  1.    p = q
  2.    p < q
  3.    p > q
  4.    p = q/2
 Discuss Question
Answer: Option C. -> p > q




Question 20. A real number x satisfying 1- (1/n) ≤ 3 + (1/n), for every positive integer n, is best described by ≤
  1.    1 < x < 4
  2.    1 < x ≤ 3
  3.    0 < x ≤4
  4.    1 ≤ x ≤ 3
 Discuss Question
Answer: Option C. -> 0 < x ≤4




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