Convert 112\(_6\) to a number in base three

A. 2211

B. 2121

C. 1212

D. 1122

Simply \(\frac{2\frac{2}{3} \times 1\frac{1}{2}}{4\frac{4}{5}}\)

A. \(1\frac{1}{4}\)

B. \(1\frac{1}{6}\)

C. \(\frac{5}{6}\)

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

Evaluate \(\frac{21}{9}\) to 3 significant figures

A. 2.30

B. 2.31

C. 2.32

D. 2.33

A man earns N3,500 per month out of which he spends 15% on his children's education. If he spends additional N1,950 on food, how much does he have left?

A. N525

B. N1,025

C. N1,950

D. N2,975

If 27\(^{x + 2}\) \(\div\) 9\(^{x + 1}\) = 3\(^{2x}\), find x.

A. 3

B. 4

C. 5

D. 6

If log₃x² = -8, what is x?

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

B. \(\frac{1}{9}\)

C. \(\frac{1}{27}\)

D. \(\frac{1}{81}\)

Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

A. \(2\sqrt{6}\)

B. \(4\sqrt{6}\)

C. \(8\sqrt{6}\)

D. \(16\sqrt{6}\)

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q

A. {3}

B. {2,3}

C. {2,3,5}

D. {1,2}

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

A. 1

B. 2

C. 3

D. 4

Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\)

A. \(\frac{1}{c}(\frac{w - 2v}{v + w})\)

B. \(\frac{1}{c}(\frac{w - 2v}{v - w})\)

C. \(\frac{1}{c}(\frac{w + 2v}{v - w})\)

D. \(\frac{1}{c}(\frac{w + 2v}{v + w})\)