Convert 27₁₀ to another number in base three

A. 1001₃

B. 1010₃

C. 1100₃

D. 1000₃

3 girls share a number of apples in the ration 5:3:2. If the highest share is 40 apples, find the smallest share

A. 36

B. 24

C. 16

D. 38

Evaluate \(\frac{1.25 \times 0.025}{0.05}\), correct to 1 decimal place

A. 0.6

B. 6.2

C. 6.3

D. 0.5

Calculate the time taken for N3000 to earn N600 if invested at 8% simple interest

A. 2\(\frac{1}{2}\) years

B. 3 years

C. 3\(\frac{1}{2}\) years

D. 1\(\frac{1}{2}\) years

Simplify \(\frac{3^{-5n}}{9^{1-n}} \times 27^{n + 1}\)

A. 3²

B. 3³

C. 3⁵

D. 3

If log₁₀4 = 0.6021, evaluate log₁₀4^1/3

A. 0.3011

B. 0.9021

C. 1.8063

D. 0.2007

Simplify \(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}}\)

A. 5

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

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

D. 9

If P = {x:x is odd, \(-1 < x \leq 20\)} and Q is {y:y is prime, \(-2 < y \leq 25\), find P \(\cap\) Q

A. {3,5,7,11,17,19}

B. {3,5,11,13,17,19}

C. {3,5,7,11,13,17,19}

D. {2,3,5,7,11,13,17,19}

If S = \(\sqrt{t^2 - 4t + 4}\), find t in terms of S

A. S² - 2

B. S + 2

C. S - 2

D. S² + 2

If x - 4 is a factor of x² - x - k, then k is

A. 4

B. 12

C. 20

D. 2