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What time is 5:00 am in military time (24-hour clock)? (Enter numeric value only.)
- A. 5000
- B. 500
- C. 1500
- D. 1700
Correct Answer: B
Rationale: The correct answer is B: 500. In military time, 5:00 am is represented as 0500. This is because the 24-hour clock system uses four digits, with the first two indicating the hour and the last two indicating the minutes. Choice A (5000) is incorrect as it has an extra digit. Choice C (1500) represents 3:00 pm, while choice D (1700) represents 5:00 pm. Therefore, the correct representation of 5:00 am in military time is 0500.
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Ratio and Proportion: 240 : X :: 80 : 0.8 (Enter a numeric value only.)
- A. 2.4
- B. 3.2
- C. 4
- D. 1.6
Correct Answer: A
Rationale: To solve for X, set up the proportion: 240/X = 80/0.8. Cross-multiply to get 240 * 0.8 = 80 * X, which simplifies to 192 = 80X. Dividing both sides by 80 gives X = 192/80 = 2.4. Therefore, the correct answer is A) 2.4.
Ratio and Proportion: 3:5 :: X:10
- A. X = 10
- B. X = 6
- C. X = 3
- D. X = 8
Correct Answer: B
Rationale: To solve the proportion, set up (3/5) = (X/10). Cross-multiply to get 3 — 10 = 5X, leading to X = 6. This means that the correct choice is B, as X is equal to 6 to maintain the same ratio as 3:5 in the original proportion.
Compare the relationships of these numbers: 0.045 is ______ to 0.054.
- A. less than
- B. greater than
- C. equal to
- D. not comparable
Correct Answer: A
Rationale: When comparing decimal numbers like 0.045 and 0.054, we look at their values. In this case, 0.045 is smaller than 0.054 because in decimal numbers, a larger number signifies a greater value. Therefore, the correct relationship between 0.045 and 0.054 is 'less than'. In this context, 'less than' accurately describes the relationship between the two numbers, with 0.045 being smaller than 0.054.
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
- A. 6
- B. 5.5
- C. 5
- D. 4.5
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
How many shipping labels are needed each day if 9 boxes are shipped, with each box requiring 3 shipping labels?
- A. 7
- B. 3
- C. 27
- D. 24
Correct Answer: C
Rationale: To find the total number of shipping labels required, multiply the number of boxes by the number of shipping labels per box. With 9 boxes shipped and 3 shipping labels needed per box, the calculation is: 9 boxes x 3 labels per box = 27 shipping labels needed each day. Therefore, the correct answer is C, as a total of 27 shipping labels are required daily.