If 2\(^{a}\) = \(\sqrt{64}\) and \(\frac{b}{a}\) = 3, evaluate a\(^2 + b^{2}\)

• A. 250
• B. 160
• C. 90
• D. 48

While preparing for the post jamb aptitude test, Felix read through pages 35 to 78 and 102 to 127 of an English text book. How many pages did he read altogether?

• A) 58
• B) 70
• C) 68
• D) 64

WHAT IS THE ANGLE IN DEGREES ON A STRAIGHT LINE

• (A) 90
• (B) 60
• (C) 180
• (D) 30

(a) If \(A = \begin{pmatrix} -2 & 5 \\ 4 & 3 \end{pmatrix}\) and \(B = \begin{pmatrix} 3 & 1 \\ 2 & 3 \end{pmatrix}\), find the values of x and y such that \(BA = 2\begin{pmatrix} 3 & 7 \\ -2 & x \end{pmatrix} + \begin{pmatrix} y & 4 \\ 12 & -3 \end{pmatrix}\).

(b) Two functions, f and g are defined by \(f : x \to \frac{1}{2}x + 1\) and \(g : x \to \frac{5x - 1}{3}\). Find :

(i) \(g^{-1}\) ; (ii) \(g^{-1} \circ f\).

A car traveling at 80 km per hour leaves Lagos at 8.am for Ibadan 136km away. What time did it get to Ibadan?

• A. 8.42am
• B. 9.42am
• C. 9.32am
• D. 9.30am

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec

• A. 96 cm
• B. 324 cm
• C. 36 cm
• D. 144 cm

If P = {3, 7, 11, 13} and Q = {2, 4, 8, 16}, which of the following is correct

• A. \((P\cap Q)^l={2, 3, 4, 13}\)
• B. \(n(P\cup Q)=4\)
• C. \(P\cup Q = \emptyset\)
• D. \(P\cap Q = \emptyset\)

The graph of f(x) = x² - 5x + 6 crosses the x-axis at the points

• A. (-6, 0), (-1, 0)
• B. (-3, 0), (-2,0)
• C. (-6, 0),(1, 0)
• D. (2, 0), (3, 0)

Find the unit vector in the direction of \(-2i + 5j\).

• A. \(\frac{1}{\sqrt{29}}(2i + 5j)\)
• B. \(\frac{1}{\sqrt{29}}(-2i + 5j)\)
• C. \(\frac{1}{29}(2i - 5j)\)
• D. \(\frac{1}{29}(-2i - 5j)\)

Solve the inequalities -3(x - 2)< -2(x + 3)

• A. x > 12
• B. x< 12
• C. x > -12
• D. x< - 12