Solve the following problems: 1. 7 − 2x > 15 − 4x. 2. p2(q-1) when p=2 and q=3/4. 3. Antwi has 20 mangoes and 20% are rotten. How many are not rotten? 4. Which is not a composite number?

$$7 - 2x + 4x > 15 - 4x + 4x$$ $$7 + 2x > 15$$

$$7 + 2x - 7 > 15 - 7$$ $$2x > 8$$

$$\frac{2x}{2} > \frac{8}{2}$$ $$x > 4$$

The correct option is A. $x > 4$.

2. Evaluate $p^2(q-1)$ when $p=2$ and $q=\frac{3}{4}$.

$$4 \times \left(-\frac{1}{4}\right) = -1$$

The correct option is B. -1.

3. Antwi has 20 mangoes and 20% are rotten. How many of them are not rotten?

$$\text{Not rotten mangoes} = \text{Total mangoes} - \text{Rotten mangoes}$$ $$\text{Not rotten mangoes} = 20 - 4 = 16$$

The correct option is A. 16.

4. Which of the following is not a composite number?
A composite number is a positive integer that has at least one divisor other than 1 and itself. A number that is not composite (and greater than 1) is a prime number.

• A. 65: Divisible by 5 and 13 (e.g., $5 \times 13 = 65$). So, 65 is composite.
• B. 39: Divisible by 3 and 13 (e.g., $3 \times 13 = 39$). So, 39 is composite.
• C. 41: Only divisible by 1 and 41. So, 41 is a prime number.
• D. 24: Divisible by 2, 3, 4, 6, 8, 12 (e.g., $2 \times 12 = 24$). So, 24 is composite. The number that is not a composite number is 41. The correct option is C. 41.

5. Mary receives a commission of 15% on articles sold in a week. If her commission was GH¢ 60.00, how much sales did she make?

The commission is 15% of the total sales.

$$15\% \text{ of } S = \text{GH¢ } 60.00$$

$$S = \frac{60}{0.15}$$ $$S = \frac{60}{\frac{15}{100}} = 60 \times \frac{100}{15}$$ $$S = 4 \times 100$$ $$S = \text{GH¢ } 400.00$$

The correct option is B. GH¢ 400.00.