Jamb 2006 Mathematics Questions
Question 36:
The solution set of the shaded area above is
- A Y ≥ 0, y ≥ x and y + x ≤ 4
- B Y ≤ x, y + x ≤ 4
- C Y + x ≥ 4, y ≤ x
- D Y ≤ x, y + x ≤ 4 and y ≥ 0
Question 37:
A binary operation \(\oplus\) defined on the set of real number is such that x\(\oplus\)y = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6
- A <sup style='font-size: smaller;'>1</sup>/<sub style='font-size: smaller;'>12</sub>
- B <sup style='font-size: smaller;'>10</sup>/<sub style='font-size: smaller;'>3</sub>
- C <sup style='font-size: smaller;'>1</sup>/<sub style='font-size: smaller;'>20</sub>
- D <sup style='font-size: smaller;'>9</sup>/<sub style='font-size: smaller;'>5</sub>
Question 38:
If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?
- A P varies directly as r<sup style='font-size: smaller;'>3</sup>
- B P varies inversely as r<sup style='font-size: smaller;'>6</sup>
- C P varies inversely as <sup style='font-size: smaller;'>6</sup>√P
- D P varies directly as r<sup style='font-size: smaller;'>6</sup>
Question 39:
A binary operation * on the set of rational numbers is defined as \(x \ast y = \frac{x^2 - y^2}{2xy}\). Find \(-5 \ast 3\)
- A \(\frac{-8}{15}\)
- B \(\frac{8}{15}\)
- C \(\frac{17}{15}\)
- D \(\frac{-17}{15}\)
Question 40:
Find the value of k if the expression kx3 + x2 - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1
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