**31. **If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.

**A.**12**B.**8**C.**9**D.**16

**32. **Tade bought 200 mangoes at 4 for ₦2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for ₦2.40. Find the percentage profit or loss.

**A.**43.6% loss**B.**35% profit**C.**63.2% profit**D.**28% loss

**33. **The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.

**A.**19%**B.**20%**C.**25%**D.**16.3%

**34**. Simplify 81\(^{\frac{-3}{4}}\) x 25\(^{\frac{1}{2}}\) x 243\(^{\frac{2}{5}}\)

**A.**\(\frac{2}{5}\)**B.**\(\frac{3}{5}\)**C.**\(\frac{5}{2}\)**D.**\(\frac{5}{3}\)

**35**. Find the value of \(\frac{(0.5436)^3}{0.017 \times 0.219}\) to 3 significant figures.

**A.**46.2**B.**43.1**C.**534**D.**431

**36. **If S = (4t + 3)(t – 2), find ds/dt when t = 5 secs.

**A.**50 units per sec**B.**35 units per sec**C.**22 units per sec**D.**13 units per sec

**37. **The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is

**A.**31°**B.**30°**C.**26°**D.**48°

**38. **The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?

**A.**15.5%**B.**18.2%**C.**14.8%**D.**16.7%

**39. **Evaluate \((\frac{6}{0.32} \div \frac{2}{0.084})^{-1}\) correct to 1 decimal place.

**A.**1.3**B.**2.5**C.**4.6**D.**3.2

**40. **If 2\(^{x + y}\) = 16 and 4\(^{x – y} = \frac{1}{32}\), find the values of x and y.

**A.**x = \(\frac{3}{4}\), y = \(\frac{11}{4}\)**B.**x = \(\frac{3}{4}\), y = \(\frac{13}{4}\)**C.**x = \(\frac{2}{3}\), y = \(\frac{4}{5}\)**D.**x = \(\frac{2}{3}\), y = \(\frac{13}{4}\)