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If a caregiver changes their baby 6 times a day, how many diapers will be needed in a year?
- A. 2160 diapers
- B. 2100 diapers
- C. 2190 diapers
- D. 6000 diapers
Correct Answer: C
Rationale: To determine the total number of diapers needed in a year, multiply the number of diaper changes per day (6) by the number of days in a year. Therefore, 6 diaper changes per day * 365 days per year = 2190 diapers. Hence, 2190 diapers will be needed in a year to keep up with the 6 diaper changes per day.
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A traveler left his house on Tuesday at 10:00 AM and arrived at his destination on Wednesday at 6:00 PM. He stopped twice for 30 minutes each time to get gas and food. He also stopped for a 4-hour nap on Wednesday. How long did he drive for?
- A. 28 hours
- B. 32 hours
- C. 27 hours
- D. 15 hours
Correct Answer: C
Rationale: To calculate the total driving time, first determine the time from Tuesday 10:00 AM to Wednesday 6:00 PM, which is 32 hours. Subtract the time spent on stops and nap, which is 30 minutes x 2 stops + 4 hours = 5 hours. Therefore, the driving time is 32 hours - 5 hours = 27 hours. This means the traveler drove for 27 hours, making choice C the correct answer.
Add: 0.824 + 1.197 =
- A. 1.911
- B. 1.921
- C. 2.011
- D. 2.021
Correct Answer: B
Rationale: Correct Answer: B (1.921)
Rationale:
Step 1: Align the numbers vertically.
0.824
+ 1.197
Step 2: Add the numbers starting from the rightmost column.
0.824
+ 1.197
1.921
Step 3: The sum is 1.921.
Summary:
- A (1.911): Incorrect, as the correct sum is 1.921.
- C (2.011) and D (2.021): Incorrect, as the sum exceeds the sum of the two given numbers.
What is the result of subtracting 2 5/8 from 7/8, reduced to lowest terms?
- A. 1 3/4
- B. 1 6/8
- C. 1 1/4
- D. 1 5/8
Correct Answer: A
Rationale: To subtract mixed numbers, convert them to improper fractions. 2 5/8 as an improper fraction is 21/8. Subtracting 7/8 from 21/8 results in 14/8. Simplifying 14/8 to lowest terms gives 1 3/4, which is the final answer.
How many kilograms are in 2000 grams?
- A. 20 kilograms
- B. 2 kilograms
- C. 0.002 kilograms
- D. 0.2 kilograms
Correct Answer: B
Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams divided by 1000 equals 2 kilograms. The correct answer is 2 kilograms. Remember, when converting units, it is important to keep track of the conversion factor to ensure the correct transformation of measurements. In this case, multiplying or dividing by 1000 is a common conversion for grams to kilograms, moving the decimal point three places to the left or right.
What is the sum of 2/3 + 1/6 + 2/5?
- A. 1/3
- B. 2/5
- C. 1 & 7/30
- D. 1 & 1/15
Correct Answer: C
Rationale: To add fractions, we need to find a common denominator. The least common multiple of 3, 6, and 5 is 30. Convert each fraction to have the denominator 30. 2/3 becomes 20/30, 1/6 becomes 5/30, and 2/5 becomes 12/30. Adding these fractions gives us 20/30 + 5/30 + 12/30 = 37/30, which simplifies to 1 & 7/30. Therefore, the correct answer is 1 & 7/30.