Jamb 1980 Mathematics Questions
Question 31:
Solve the equation for the positive values of \(\theta\) less than 360o. 3 tan \(\theta\) + 2 = -1
- A 135<sup style='font-size: smaller;'>o</sup> or 315<sup style='font-size: smaller;'>o</sup>
- B 45<sup style='font-size: smaller;'>o</sup> or 135<sup style='font-size: smaller;'>o</sup>
- C 315<sup style='font-size: smaller;'>o</sup> or 180<sup style='font-size: smaller;'>o</sup>
- D 315v + 45<sup style='font-size: smaller;'>o</sup>
- E 360<sup style='font-size: smaller;'>o</sup> or 315<sup style='font-size: smaller;'>o</sup>
Question 32:
Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables.
- A 1.03
- B 2.31
- C 3.69
- D 10.5
- E 25
Question 33:
Simplify 102 + log105
- A 500
- B 2 log<sub style='font-size: smaller;'>10</sub> 5
- C 10
- D 25
- E Log<sub style='font-size: smaller;'>10</sub>5 x 10<sup style='font-size: smaller;'>100</sup>
Question 34:
Find the missing numerator \(\frac{5}{x + 1}\) - \(\frac{3}{1 - x}\) - \(\frac{7x - 1}{x^2 - 1}\) = \(\frac{?}{x + 1}\).
- A -1
- B X - 1
- C \(\frac{3(1 - 5x)}{x + 1}\)
- D 1
- E 3(1 - 5x)
Question 35:
The expression x3 - 4x2 + cx + d is such that x + 1 is its factor, and its value is 1 when x is -2. Find c and d.
- A C = 4 and d = -9
- B C = -4 and d = 9
- C C = -20 and d = -15
- D C = 20 and d = -15
- E C = -20 and d = 15