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Convert 11:32 A.M. to Military time. (Enter the numerical value only.)
- A. 1132
- B. 1232
- C. 1032
- D. 1112
Correct Answer: A
Rationale: To convert 11:32 A.M. to Military time, A.M. hours from 1:00 to 11:59 are represented with a leading zero if required. In the 24-hour clock system, 11:32 A.M. is correctly converted to 1132. The correct answer is option A, as it represents 11:32 A.M. in the correct 24-hour time format. Remember that in military time, the hours are always represented with two digits, so a leading zero is added if the hour is a single digit to maintain consistency.
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What is the result of dividing 5 & 3/4 by 1/2, reduced to the simplest form?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, you first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Dividing 23/4 by 1/2 is equivalent to multiplying 23/4 by 2/1, resulting in 46/4. When simplified back to a mixed number, 46/4 is 11 & 1/2.
Convert 4/5 to a decimal.
- A. 0.08
- B. 0.375
- C. 1.25
- D. 0.8
Correct Answer: D
Rationale: To convert 4/5 to a decimal, you divide the numerator (4) by the denominator (5): 4 ÷ 5 = 0.8. Therefore, the correct answer is D. Choice A (0.08) is incorrect as it represents 8/100, not 4/5. Choice B (0.375) is incorrect as it is the decimal form of 3/8, not 4/5. Choice C (1.25) is incorrect as it is the decimal form of 5/4, not 4/5.
Convert 8:44 P.M. to military time. (Enter the numerical value only.)
- A. 2044
- B. 2204
- C. 1844
- D. 2040
Correct Answer: D
Rationale: Correct Answer: D (2040)
Rationale:
1. Military time follows a 24-hour clock.
2. To convert 8:44 P.M. to military time, add 12 hours to the given time.
3. 8 + 12 = 20, so the hour becomes 20.
4. The minute remains the same, so it is 44.
5. Therefore, 8:44 P.M. in military time is 2044.
Summary:
A: 2044 - Incorrect, same as the correct answer but not in the 24-hour clock format.
B: 2204 - Incorrect, it would be the military time for 10:04 P.M.
C: 1844 - Incorrect, it is the original time in the 12-hour clock format, not converted to military time.
What is 32 divided by 8/9?
- A. 36
- B. 4 & 1/9
- C. 28 & 4/9
- D. 4
Correct Answer: A
Rationale: To divide by a fraction, you can multiply by its reciprocal. In this case, 32 divided by 8/9 is equivalent to 32 multiplied by 9/8. Multiplying 32 by 9/8 gives 288/8, which simplifies to 36. Therefore, the correct answer is A, 36. When dividing by a fraction, remember to multiply by the reciprocal to find the result. In this case, multiplying 32 by the reciprocal of 8/9, which is 9/8, gives the final answer of 36.
Which of the following numbers is the largest?
- A. 0.6
- B. 0.0688
- C. 0.667
- D. 0.68
Correct Answer: D
Rationale: To determine the largest number, compare the decimal parts individually. Among the given options, 0.6 is smaller than 0.68, 0.0688 is smaller than both 0.6 and 0.68, and 0.667 is smaller than 0.68. Therefore, 0.68 is the largest number among the options provided.