Correct Answer: C

Rationale: In the scale drawing, 2 cm represents 1 m. To find the actual dimensions of the garden in reality, we need to multiply the dimensions in the drawing by the scale factor. So, 8 cm x 2 = 16 cm in reality (length) and 10 cm x 2 = 20 cm in reality (width). Converting these to meters, the garden will be 16 m by 20 m. Choices A, B, and D are incorrect because they do not correctly apply the scale factor to determine the actual dimensions of the garden.

Correct Answer: B

Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.

Correct Answer: B

Rationale: To multiply 52 by 04, you first multiply the two numbers together: 52 x 4 = 208. Since there are two decimal places in the expression, you need to divide the result by 100, which gives you 0.0208. Therefore, the correct answer is B. Choice A (0.00208) is incorrect because it represents a much smaller value obtained by considering the decimal incorrectly. Choice C (0.208) is incorrect because it does not account for the decimal placement. Choice D (2.08) is incorrect as it does not consider the requirement to convert the result into decimal form.

Correct Answer: C

Rationale: To find the sum of the digits of the number 72, you simply add the individual digits together: 7 + 2 = 9. Therefore, the sum of the digits is 9. Choice A (6), Choice B (5), and Choice D (7) are incorrect as they do not correctly sum up the individual digits of the number 72.

Correct Answer: B

Rationale: The ratio given is 6:16, which can be simplified to 3:8 by dividing both sides by 2. This means that for every 3 surfers, there are 8 swimmers. To find a possible number of surfers and swimmers that fit this ratio, we can multiply both parts of the ratio by a common factor. Multiplying 3 and 8 by 24 gives us 72 surfers and 210 swimmers, which makes answer choice B the correct option. Choice A, C, and D do not reflect the ratio of surfers to swimmers given in the question.