Express 0.0000407, correct to 2 significant figures

A. 0.0

B. 0.00004

C. 0.000041

D. 0.0000407

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

A. x \(\alpha\) z

B. x \(\alpha\) \(\frac{1}{z}\)

C. a \(\alpha\) z\(^2\)

D. x \(\alpha\) \(\frac{1}{z^2}\)

Evaluate \(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\)

A. \(\frac{14}{15}\)

B. \(\frac{13}{15}\)

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

D. \(\frac{11}{15}\)

The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?

A. 1 : 4

B. 1 : 5

C. 2 : 5

D. 5 : 2

If M = {x : 3 \(\leq\) x < 8} and N = {x : 8 < x \(\leq\) 12}, which of the following is true?i. 8 \(\in\) M \(\cap\) Nii. 8 \(\in\) M \(\cup\) Niii. M \(\cap\) N = \(\varnothing\)

A. iii only

B. i and ii

C. ii and iii only

D. i, ii and iii

Given that a = log 7 and b = \(\log\) 2, express log 35 in terms of a and b.

A. a + b + 1

B. ab - 1

C. a - b + 1

D. b - a + 1

If x = \(\frac{2}{3}\) and y = - 6, evaluate xy - \(\frac{y}{x}\)

A. 0

B. 5

C. 8

D. 9

Solve the equation: \(\frac{1}{5x} + \frac{1}{x}\)= 3

A. \(\frac{1}{5}\)

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

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

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

A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy's share.

A. N1,820.00

B. 2,000.00

C. N2,020.00

D. N2,040.00

One factor of \(7x^2 + 33x - 10\) is

A. 7x + 5

B. x - 2

C. 7x - 2

D. x - 5