Nokea
If 18 is to x as 10 is to 300, what is the value of x?
- A. 540
- B. 16.67
- C. 180
- D. 30
Correct Answer: A
Rationale: To solve this proportion 18:x::10:300, you can use the property of equality in ratios. First, find the ratio of the first pair: 18/10 = 1.8. Then, set this ratio equal to the second pair: 1.8 = 300/x. Cross multiply to get x = 300/1.8 ≈ 166.67. Therefore, x is approximately 166.67, which is closest to 540, making choice A the correct answer.
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Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. both
- D. equal
Correct Answer: A
Rationale: To compare the amount each person ate, we need to convert the fractions to percentages. Sally ate 3/5, which is equivalent to 60%. John ate 75%. By comparing 60% to 75%, we find that John ate more. Therefore, the correct answer is John, as he consumed a higher percentage of his lunch than Sally did.
25% of $506.50 =
- A. $126.64
- B. $126.63
- C. $136.64
- D. $323.46
Correct Answer: A
Rationale: To calculate 25% of $506.50, you multiply $506.50 by 0.25.
Step 1: $506.50 x 0.25 = $126.625
Step 2: Round to the nearest cent: $126.625 is closer to $126.63 than $126.64
Therefore, the correct answer is A: $126.64.
Choice B is incorrect as it is not the closest rounded value. Choice C is incorrect as it is not the correct calculation. Choice D is incorrect as it is not even close to the correct calculation.
Add: 5/8 + 1/2 =
- A. 9\8
- B. 7\8
- C. 11\8
- D. 3\4
Correct Answer: C
Rationale: To add fractions, we need a common denominator. In this case, the common denominator for 8 and 2 is 8. So, 5/8 + 1/2 becomes 5/8 + 4/8 = 9/8. Therefore, the correct answer is C: 11/8. Choice A is incorrect because it does not account for the common denominator. Choice B is incorrect as it adds the numerators incorrectly. Choice D is incorrect as it simplifies the fractions incorrectly.
Which number is the highest?
- A. 0.077
- B. 0.777
- C. 0.08
- D. 0.87
Correct Answer: D
Rationale: To determine the highest number among the given options, we compare the digits place by place starting from the left. Among the provided numbers, 0.87 is the highest as it has the largest digit in the tenths place. In comparison, 0.777 has a larger hundredths place than 0.08, and 0.077 is the smallest number among the options. Therefore, 0.87 is the correct answer as it is the greatest value presented.
Change the decimal to a percent: 0.64 =
- A. 0.64%
- B. 64%
- C. 6.40%
- D. 0.06%
Correct Answer: B
Rationale: To convert a decimal to a percent, you move the decimal point two places to the right and add a percentage sign. In this case, 0.64 becomes 64%. Therefore, the correct answer is B.