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4066

Integrate \(\int (4x^{-3} - 7x^2 + 5x - 6) \mathrm d x\).

  • A. \(-2x^{-2} - \frac{7}{3}x^3 + \frac{5}{2} x^2 - 6x\)
  • B. \(2x^2 + \frac{7}{3} x^3 - 5x + 6\)
  • C. \(12x^2 + 14x - 5\)
  • D. \(-12x^{-4} - 14x + 5\)
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4067

Find the probability that a number selected at random from 21 to 34 is a multiple of 3

  • A. \(\frac{3}{11}\)
  • B. \(\frac{2}{9}\)
  • C. \(\frac{5}{14}\)
  • D. \(\frac{5}{13}\)
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4068

If the 3rd and 7th terms of a G.P are 9 and 1/9 respectively. Find the common ratio.

  • A. \(\frac{1}{3}\)
  • B. \(\frac{1}{9}\)
  • C. \(\frac{2}{3}\)
  • D. \(\frac{2}{9}\)
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4069

If the universal set μ = {x : 1 ≤ x ≤ 20} and
A = {y : multiple of 3}
B = |z : odd numbers}
Find A ∩ B

  • A. {1, 3, 6}
  • B. {3, 5, 9, 12}
  • C. {3, 9, 15}
  • D. {2, 3, 9}
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4070

In a committee of 5, which must be selected from 4 males and 3 females. In how many ways can the members be chosen if it were to include 2 females?

  • A. 144 ways
  • B. 15 ways
  • C. 185 ways
  • D. 12 ways
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