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What is the sum of two odd numbers, two even numbers, and an odd number and an even number?
- A. Odd + Odd = Even; Even + Even = Even; Odd + Even = Odd
- B. Odd + Odd = Odd; Even + Even = Even; Odd + Even = Even
- C. Odd + Odd = Even; Even + Even = Odd; Odd + Even = Even
- D. Odd + Odd = Odd; Even + Even = Odd; Odd + Even = Even
Correct Answer: A
Rationale: The sum of two odd numbers is even because odd numbers have a difference of 1 and adding them results in a multiple of 2. The sum of two even numbers is even because even numbers are multiples of 2. When an odd number and an even number are added, the result is odd because the even number contributes an extra 1 to the sum, making it an odd number. Therefore, the correct answer is A. Choices B, C, and D have incorrect combinations of the sum of odd and even numbers.
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Cora skated around the rink 27 times but fell 20 times. What percentage of the time did she not fall?
- A. 0.37
- B. 0.74
- C. 0.26
- D. 0.15
Correct Answer: C
Rationale: To find the percentage of the time Cora did not fall, subtract the number of times she fell (20) from the total number of times she skated around the rink (27). This gives us 27 - 20 = 7 times she did not fall. To express this as a percentage, calculate (7/27) * 100% = 25.93%, which is approximately 26%. Therefore, the correct answer is 0.26 (C). Choice A (0.37), Choice B (0.74), and Choice D (0.15) are incorrect as they do not represent the percentage of the time Cora did not fall based on the information provided.
Which of the following best describes the relationship in this set of data?
- A. High positive correlation
- B. Low positive correlation
- C. Low negative correlation
- D. No correlation
Correct Answer: B
Rationale: The correct answer is 'B: Low positive correlation.' In a low positive correlation, the variables tend to increase together, but the relationship is not strong. This description fits the data set provided. Choice A, 'High positive correlation,' is incorrect because the correlation is not strong. Choice C, 'Low negative correlation,' is incorrect as the variables are not decreasing together. Choice D, 'No correlation,' is incorrect because there is a relationship between the variables, albeit weak.
In Mrs. McConnell's classroom, there are 14 students with brown eyes and 2 students with green eyes. What is the ratio of students with brown eyes to students with green eyes?
- A. 7:1
- B. 7:2
- C. 14:2
- D. 14:1
Correct Answer: A
Rationale: The correct answer is A: 7:1. To find the ratio, divide the number of students with brown eyes (14) by the number of students with green eyes (2), which equals 7. Therefore, the ratio of students with brown eyes to students with green eyes is 7:1. Choice B (7:2) is incorrect as it does not accurately represent the ratio of students with brown eyes to green eyes. Choice C (14:2) is incorrect because the ratio should be simplified, and 14:2 simplifies to 7:1. Choice D (14:1) is incorrect as it does not consider the number of students with green eyes.
If Stella's current weight is 56 kilograms, what is her approximate weight in pounds?
- A. 123 pounds
- B. 110 pounds
- C. 156 pounds
- D. 137 pounds
Correct Answer: A
Rationale: To convert kilograms to pounds, you multiply the weight in kilograms by 2.2. So, 56 kilograms * 2.2 = 123.2 pounds, which can be approximated to 123 pounds. Therefore, Choice A is correct. Choices B, C, and D are incorrect as they do not match the correct conversion from kilograms to pounds for Stella's weight of 56 kilograms.
How many quarts are in a gallon?
- A. 1 quart
- B. 2 quarts
- C. 3 quarts
- D. 4 quarts
Correct Answer: D
Rationale: The correct answer is D, which is 4 quarts in a gallon. In the US customary system, there are 4 quarts in a gallon. Choice A is incorrect as it represents the equivalent of a quart, not a gallon. Choice B and C are incorrect as they are smaller quantities than a gallon and do not match the conversion of quarts to a gallon.