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Mathematics 1978 JAMB Past Questions

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41

The angle of elevation of the top of a vertical tower from a point A on the ground is 60o. From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45o. Find the distance of A from the foot of the tower

  • A. 3 + \(\sqrt{3}\)
  • B. 5 + \(\sqrt{3}\)
  • C. 3 - \(\sqrt{3}\)
  • D. 1
  • E. \(\sqrt{3}\) + 1
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42
The vectors a and b are given in terms of two perpendicular units vectors i and j on a plane by a = 2i - 3j, b = -i + 2j. Find the magnitude of the vector a + 3b
  • A. 2
  • B. 4
  • C. \(\sqrt{10}\)
  • D. 35
  • E. 2.2
View Answer & Discuss (2) JAMB 1978
43
Add the same number to the numerator and denominator of \(\frac{3}{18}\). If the resulting fraction is \(\frac{1}{2}\), then the number added is
  • A. 13
  • B. 14
  • C. 15
  • D. 12
  • E. 11
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44

The smallest number such that when it is divided by 8 has a remainder of 6 and when it is divided by 9, has a remainder of 7 is

  • A. 387
  • B. 493
  • C. 502
  • D. 441
  • E. 634
View Answer & Discuss JAMB 1978
45
In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.
  • A. 4cm
  • B. 6cm
  • C. 3cm
  • D. 2cm
  • E. 1cm
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