Nokea
How many milliliters are contained in 3 liters of fluid? (Enter numeric value only.)
- A. 300
- B. 3000
- C. 30,000
- D. 300,000
Correct Answer: B
Rationale: Correct Answer: B (3000)
Rationale:
1 liter = 1000 milliliters.
Therefore, 3 liters = 3 x 1000 = 3000 milliliters.
Choice B (3000) is correct because it correctly converts liters to milliliters.
Choice A (300) is incorrect as it is the equivalent of 0.3 liters.
Choice C (30,000) and D (300,000) are incorrect as they are the result of multiplying by 10 or 100 extra.
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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.
What is the result of adding 23.5 + 7.025?
- A. 30.525
- B. 30.5
- C. 30.025
- D. 16.475
Correct Answer: A
Rationale: To find the sum of 23.5 and 7.025, align the decimals and add the numbers: 23.5 + 7.025 = 30.525. The correct answer is choice A, which is 30.525. When adding decimal numbers, it's essential to align the decimal points properly and perform the addition as usual. Careful attention to decimal arithmetic ensures accuracy in the final result, making choice A the correct answer.
Ratio and Proportion: 200:2::20:X (Enter numeric value only.)
- A. 2
- B. 0.2
- C. 4
- D. 10
Correct Answer: B
Rationale: Correct Answer: B (0.2)
Rationale:
To solve this proportion problem, we can set up the equation:
200/2 = 20/X
Simplify the left side:
100 = 20/X
Cross multiply to solve for X:
100X = 20
Divide by 100 to isolate X:
X = 20/100
X = 0.2
Summary:
- Choice A (2) is incorrect as it does not match the calculated value of X.
- Choice C (4) is incorrect as it is not the correct answer derived from the proportion.
- Choice D (10) is incorrect as it does not align with the calculated value of X.
Change the fraction to the simplest possible ratio: 8/14
- A. 2:4
- B. 4:7
- C. 4:6
- D. 3:5
Correct Answer: B
Rationale: To simplify the fraction 8/14, you need to divide both the numerator and denominator by their greatest common factor, which in this case is 2. Dividing both 8 and 14 by 2 results in 4/7, which is the simplest ratio for 8/14. Therefore, the correct answer is 4:7. Remember, when simplifying fractions, always divide both the numerator and denominator by their greatest common factor to represent the fraction in its simplest form.
Which number is the highest?
- A. 0.077
- B. 0.777
- C. 0.08
- D. 0.87
Correct Answer: D
Rationale: To determine the highest number among the given options, we compare the digits place by place starting from the left. Among the provided numbers, 0.87 is the highest as it has the largest digit in the tenths place. In comparison, 0.777 has a larger hundredths place than 0.08, and 0.077 is the smallest number among the options. Therefore, 0.87 is the correct answer as it is the greatest value presented.