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Convert the following military time to standard time: 1700 hours
- A. 6:00 PM
- B. 7:00 PM
- C. 4:00 PM
- D. 5:00 PM
Correct Answer: D
Rationale: Military time is based on a 24-hour clock system, where 0000 (12:00 AM) to 2359 (11:59 PM) represents the full day. To convert military time to standard time, subtract 1200 from the given military time if it is greater than 1200. In this case, 1700 hours - 1200 = 5:00 PM. Therefore, the correct answer is D) 5:00 PM.
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What is the result of adding 6, 12.55, and 5.022?
- A. 18.572
- B. 23.572
- C. 30.025
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, you need to add the numbers together: 6 + 12.55 + 5.022 = 23.572. Therefore, the correct answer is B, which equals 23.572. Adding the three numbers together gives you the total sum. In this case, the sum is 23.572, making it the correct answer choice.
What is the result of subtracting 28 3/4 from 5 5/6?
- A. 23 & 1/2
- B. 22
- C. 22 & 11/12
- D. 34 & 1/12
Correct Answer: C
Rationale: To subtract fractions, the denominators must be the same. Convert 5 5/6 to 5 10/12 to make the subtraction easier. Therefore, 5 10/12 - 28 3/4 = (5 10/12) - (28 9/12) = -23 11/12. As the result is a negative number, the answer is 22 & 11/12. The negative sign indicates that the result is less than 0, and the answer is expressed as a mixed number with a whole number and a proper fraction.
After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?
- A. $1.93
- B. $5.00
- C. $0.72
- D. $20.13
Correct Answer: A
Rationale: To find out how much money the shopper has left, you need to add the total spent at both stores: $75.64 + $22.43 = $98.07. Next, subtract this total from the initial amount of $100.00: $100.00 - $98.07 = $1.93. Therefore, the shopper has $1.93 remaining after shopping at both stores. This calculation accurately determines the correct amount of money left after the purchases, making choice A the right answer.
1.2:x::14:42 =
- A. 0.6
- B. 3.6
- C. 1.2
- D. 2.4
Correct Answer: B
Rationale: To solve this proportion, we use the property that the product of the means is equal to the product of the extremes. In this case, we have 1.2 * 42 = 14 * x. Simplifying, we get 50.4 = 14x. To find the value of x, we divide both sides by 14, giving x = 50.4 / 14 = 3.6. Therefore, the correct answer is 3.6, which corresponds to option B. This means that the relationship between 1.2 and x is the same as the relationship between 14 and 42, following a proportional logic where the ratios are equivalent.
Multiply: (99)(0.56) =
- A. 54.44
- B. 56.44
- C. 55.44
- D. 57.44
Correct Answer: A
Rationale: To multiply decimals, first ignore the decimal points and multiply the numbers as whole numbers. Then, count the total number of decimal places in both factors (2 in this case) and place the decimal point in the product so that it has the same total number of decimal places. Therefore, (99)(0.56) = 5544. After placing the decimal point, the answer is 54.44. Therefore, the correct answer is A: 54.44.