Jamb Mathematics Past Questions For Year 1978
Question 16
Simplify \(\frac{a - b}{a + b}\) - \(\frac{a + b}{a - b}\)
- A. \(\frac{4ab}{a - b}\)
- B. \(\frac{-4ab}{a^2 - b^2}\)
- C. \(\frac{-4ab}{a^{-2} - b}\)
- D. \(\frac{4ab}{a^{-2} - b^{-2}}\)
Question 17
A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is
- A. \(\sqrt{3}\) units
- B. 3 units
- C. \(\sqrt{41 + 20 \sqrt{2}}\) units
- D. \(\sqrt{41 - 20 \sqrt{2}}\) units
Question 18
The minimum point on the curve y = x² - 6x + 5 is at
- A. (1, 5)
- B. (2, 3)
- C. (-3, -4)
- D. (3, -4)
Question 19
If \(\left(3x - \frac{1}{4}\right)^{\frac{1}{2}} > \frac{1}{4} - x \), then the interval of values of x is
- A. x > \(\frac{1}{3}\)
- B. x < \(\frac{1}{3}\)
- C. x < \(\frac{1}{4}\)
- D. x < \(\frac{9}{16}\)
- E. x > \(\frac{9}{16}\)
Question 20
A canal has rectangular cross section of width10cm and breadth 1m. If water of uniform density 1 gm cm-3 flows through it at a constant speed of1000mm per minute, the adjacent sea is
- A. 100000
- B. 1000000
- C. 120000
- D. 30000
- E. 350000
