If 2q3₅ = 77₈, find q

A. 2

B. 1

C. 4

D. O

Simplify \(\frac{3\frac{2}{3} \times \frac{5}{6} \times \frac{2}{3}}{\frac{11}{15} \times \frac{3}{4} \times \frac{2}{27}}\)

A. \(5\frac{2}{3}\)

B. 30

C. \(4\frac{1}{3}\)

D. 50

A man invested N5,000 for 9 months at 4%. What is the simple interest?

A. N150

B. N220

C. N130

D. N250

If the numbers M, N, Q are in the ratio 5:4:3, find the value of \(\frac{2N - Q}{M}\)

A. 2

B. 3

C. 1

D. 4

Simplify \((\frac{16}{81})^{\frac{1}{4}} \div (\frac{9}{16})^{-\frac{1}{2}}\)

A. \(\frac{2}{3}\)

B. \(\frac{1}{2}\)

C. \(\frac{8}{9}\)

D. \(\frac{1}{3}\)

If log₃18 + log₃3 - log₃x = 3, Find x.

A. 1

B. 2

C. o

D. 3

Rationalize \(\frac{2 - \sqrt5}{3 - \sqrt5}\)

A. \(\frac{1 - \sqrt5}{2}\)

B. \(\frac{1 - \sqrt5}{4}\)

C. \(\frac{ \sqrt5 - 1}{2}\)

D. \(\frac{1 + \sqrt5}{4}\)

Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))

A. \(\frac{7}{3}\)

B. \(\frac{5}{3}\)

C. \(\frac{5}{2}\)

D. \(\frac{3}{2}\)

Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?

A. 49

B. 170

C. 21

D. 210

Make R the subject of the formula if T = \(\frac {KR^2 + M}{3}\)

A. \(\sqrt\frac{3T - K}{M}\)

B. \(\sqrt\frac{3T - M}{K}\)

C. \(\sqrt\frac{3T + K}{M}\)

D. \(\sqrt\frac{3T - K}{M}\)