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MCQs

Total Questions : 72 | Page 7 of 8 pages
Question 61. The area bounded by the curves y = x4 - 2x3 + x2 - 3, the x-axis and the two ordinates corresponding to the points of minimum of this Function is
  1.    91 / 15
  2.    91 / 30
  3.    19 / 30
  4.    None of these
 Discuss Question
Answer: Option B. -> 91 / 30




Question 62. If v,w,x,y, and z are non negative integers, each less than 11, then how many distinct combinations of (v,w,x,y,z) satisfy v(11^4) + w(11^3) +x(11^2) + y(11) + z =151001 ?
  1.    0
  2.    1
  3.    2
  4.    3
 Discuss Question
Answer: Option B. -> 1




Question 63. If a, ß are the roots of ax2 - 2bx + c = 0 then a3 ß3 + a2ß3 + a3ß2 is
  1.    c2(c + 2b) / a3
  2.    bc3 / a3
  3.    c2 / a3
  4.    None of these
 Discuss Question
Answer: Option A. -> c2(c + 2b) / a3




Question 64. The sixth term of a HP is 1/61 and the 10th term is 1/105. The first term of the H.P. is
  1.    1/39
  2.    1/28
  3.    1/17
  4.    1/6
 Discuss Question
Answer: Option D. -> 1/6




Question 65. Let Sn denote the sum of first n terms of an A.P..If S2n = 3Sn, then the ratio S3n / 5n is equal to
  1.    4
  2.    6
  3.    8
  4.    10
 Discuss Question
Answer: Option B. -> 6




Question 66. Solution of |3 “ x| = x “ 3 is
  1.    x < 3
  2.    x > 3
  3.    x = 3
  4.    x = 3
 Discuss Question
Answer: Option D. -> x = 3




Question 67. If the product of n positive numbers in 1, then their sum is
  1.    a positive integer
  2.    divisible by n
  3.    equal to n + (1 / n)
  4.    never less than n
 Discuss Question
Answer: Option D. -> never less than n




Question 68. The area bounded by the curves y = |x| - 1 and y = - |x| + 1 is
  1.    1
  2.    2
  3.    2 v2
  4.    4
 Discuss Question
Answer: Option B. -> 2




Question 69. Three lines 3x + 4y + 6 = 0, 2x 3y 2 2 0 + + = and 4x 7y 8 0 + + = are
  1.    Parallel
  2.    Sides of a triangles
  3.    Concurrent
  4.    None of these
 Discuss Question
Answer: Option C. -> Concurrent




Question 70. Angle between the pair of straight lines x2 “ xy “ 6y2 “ 2x + 11y “ 3 = 0 is
  1.    450 , 1350
  2.    tan-1 2, p = tan-1 2
  3.    tan-1 3, p = tan-1 3
  4.    None of these
 Discuss Question
Answer: Option D. -> None of these




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