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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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301

Evaluate \(\frac{1}{1 - \sin 60°}\), leaving your answer in surd form.

  • A. \(1 - \sqrt{3}\)
  • B. \(2 - \sqrt{3}\)
  • C. \(4 - 2\sqrt{3}\)
  • D. \(4 + 2\sqrt{3}\)
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302

Find the equation of a circle with centre (-3, -8) and radius \(4\sqrt{6}\).

  • A. \(x^{2} - y^{2} - 6x + 16y + 23 = 0\)
  • B. \(x^{2} + y^{2} + 6x + 16y - 23 = 0\)
  • C. \(x^{2} + y^{2} + 6x - 16y + 23 = 0\)
  • D. \(x^{2} + y^{2} - 6x + 16y + 23 = 0\)
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303

Determine the coefficient of \(x^{2}\) in the expansion of \((a + 3x)^{6}\).

  • A. \(18a^{2}\)
  • B. \(45a^{4}\)
  • C. \(135a^{4}\)
  • D. \(1215a^{2}\)
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304

The mean of 2, 5, (x + 2), 7 and 9 is 6. Find the median.

  • A. 5.5
  • B. 6.0
  • C. 6.5
  • D. 7.0
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305

The probability that Kofi and Ama hit a target in a shooting competition are \(\frac{1}{6}\) and \(\frac{1}{9}\) respectively. What is the probability that only one of them hit the target?

  • A. \(\frac{1}{54}\)
  • B. \(\frac{13}{54}\)
  • C. \(\frac{20}{27}\)
  • D. \(\frac{41}{54}\)
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts