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Mathematics 2017 JAMB Past Questions

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31
In how many ways can the word MACICITA be arranged?
  • A. \(\frac{8!}{2!}\)
  • B. \(\frac{8!}{3! 2!}\)
  • C. \(\frac{8!}{2! 2! 2!}\)
  • D. 8!
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32

y is inversely proportional to x and y is 6 when x = 7. Find the constant of the variation

  • A. 47
  • B. 42
  • C. 54
  • D. 46
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33
Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)
  • A. 2x + 2y = 9
  • B. 2x + 3y = 8
  • C. 2x + y = 9
  • D. x + 2y = 8
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34
Find ∫(x2 + 3x − 5)dx
  • A. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
  • B. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
  • C. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
  • D. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k
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35

In the diagram above MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140°, find, to the nearest cm, the length of the chord MN.

  • A. 10cm
  • B. 19cm
  • C. 17cm
  • D. 12cm
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