Evaluate 64.764\(^2\) - 35.236\(^2\) correct to 3 significant figures

A. 2960

B. 2950

C. 2860

D. 2850

Find the value of (0.006)³ + (0.004)³ in standard form

A. 2.8 x 10^-9

B. 2.8 x 10^-7

C. 2.8 x 10^-8

D. 2.8 x 10^-6

Given that log_a2 = 0.693 and log_a3 = 1.097, find log_a 13.5

A. 1.404

B. 1.790

C. 2.598

D. 2.790

If 8^{\(\frac{x}{2}\)} = (2^{\(\frac{3}{8}\)})(4\(\frac{3}{4}\)), find x

A. \(\frac{3}{8}\)

B. \(\frac{3}{4}\)

C. \(\frac{4}{5}\)

D. \(\frac{5}{4}\)

Simplify \(\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} - 2\sqrt{3}}\)

A. \(\frac{19 + 4\sqrt{25}}{11}\)

B. \(\frac{19 + 4\sqrt{15}}{11}\)

C. \(\frac{19 + 2\sqrt{15}}{11}\)

D. \(\frac{19 + 2\sqrt{15}}{19}\)

Find the simple interest rate percent per annum at which N1,000 accumulates to N1,240 in 3 years

A. 6%

B. 8%

C. 10%

D. 12%

If U = (s, p, i, e, n, d, o, u, r), X = (s, p, e, n, d) Y = (s, e, n, o, u), Z = (p, n, o, u, r) find X ∩( Y ∪ Z)

A. (p, o, u, r)

B. (s, p, d, r)

C. (s, p, n, e)

D. (n, d, u)

A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo, while only 9 students speak both language. How many students speak neither Hausa nor Igbo?

A. 0

B. 9

C. 11

D. 20

If the function f(fx) = x³ + 2x² + qx - 6 is divisible by x + 1, find q

A. -5

B. -2

C. 2

D. 5