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Convert the military time 0056 to 12-hour time.
- A. 12:56 P.M.
- B. 12:56 A.M.
- C. 1:56 A.M.
- D. 1:56 P.M.
Correct Answer: B
Rationale: Military time 0056 represents 12:56 A.M. in the 12-hour clock format. When converting from military time to the 12-hour clock, you keep the hour as is if it's 1 to 12. In this case, 0056 corresponds to just after midnight, so it's 12:56 A.M. The 'A.M.' indicator signifies the time is in the morning.
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Solve for x: 7:42 :: 4:x
- A. 12
- B. 48
- C. 24
- D. 16
Correct Answer: C
Rationale: To solve the analogy 7:42 :: 4:x, we first simplify the ratio 7:42 to 1:6 by dividing both numbers by 7. Maintaining the same simplification, we apply it to 4:x, resulting in 4:24. Therefore, x = 24, making choice C the correct answer as it completes the analogy.
Multiply: 4/9 x 4/5
- A. 5\9
- B. 16/45
- C. 1\2
- D. 5\4
Correct Answer: B
Rationale: To multiply fractions, you simply multiply the numerators together and the denominators together. For 4/9 x 4/5, it would be (4 x 4) / (9 x 5) = 16/45. The correct answer is B.
Choice A (5/9) is incorrect as it results from multiplying the numerators and denominators in the wrong order.
Choice C (1/2) is incorrect because multiplying 4/9 and 4/5 does not yield 1/2.
Choice D (5/4) is incorrect as it results from adding the numerators instead of multiplying them.
Therefore, the correct answer is B (16/45) as it follows the correct multiplication process for fractions.
What is the result of subtracting 9 from 28.19?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of subtracting 9 from 28.19, you need to subtract 9 from 28.19. The calculation is 28.19 - 9 = 19.19. Therefore, the correct answer is D, 19.19. When subtracting a whole number from a decimal number, it is essential to align the decimal points and perform the subtraction correctly. In this case, the 9 is subtracted from the 0.19, resulting in the final answer of 19.19. It's crucial to pay attention to place value and the position of the decimal point to ensure the accuracy of the result.
Convert 0.60 to a ratio in simplest form.
- A. 3:5
- B. 2:50
- C. 2:6
- D. 1:6
Correct Answer: A
Rationale: To convert 0.60 to a ratio, start by expressing it as a fraction: 0.60 = 60/100. Then simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 20 in this case. Dividing 60 by 20 gives 3, and dividing 100 by 20 gives 5. Therefore, the simplified fraction is 3/5, which translates to the ratio 3:5 in simplest form.
Convert the percentage to a decimal: 38% =
- A. 3.8
- B. 0.038
- C. 38
- D. 0.38
Correct Answer: D
Rationale: To convert a percentage to a decimal, you divide by 100. In this case, 38% is equal to 38/100 = 0.38 when converted to a decimal. Therefore, the correct answer is D.