Jamb Mathematics 2006 Past Questions and Answers

Question 36:

• JAMB 2006

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:

• JAMB 2006

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. ¹/₁₂
B. ¹⁰/₃
C. ¹/₂₀
D. ⁹/₅

Question 38:

• JAMB 2006

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 r³
B. P varies inversely as r⁶
C. P varies inversely as ⁶√P
D. P varies directly as r⁶

Question 39:

• JAMB 2006

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:

• JAMB 2006

Find the value of k if the expression kx³ + x² - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1

A. 10
B. 8
C. -10
D. -8