NLN NEX Math Exams — NLN NEX Math Practice Test
Answer: D
300 grapes are worth 6 melons.
To determine how many grapes are equivalent to 6 melons, we first convert melons into carrots and then carrots into grapes. Since 5 carrots equal 1 melon, 6 melons equal 30 carrots. With the conversion rate of 10 grapes per carrot, 30 carrots equal 300 grapes.
A) 30
This option is incorrect because it suggests that only 30 grapes are needed for 6 melons. Given the conversion rates, the calculation shows that significantly more grapes are required.
B) 120
This option is also incorrect. Although it indicates a larger quantity than 30, it underestimates the number of grapes needed according to the provided conversion rates. The calculations reveal that a much higher number is necessary.
C) 60
This choice is incorrect as well. It results from a misunderstanding of the conversions. Since 6 melons equate to 30 carrots and each carrot is worth 10 grapes, the correct total far exceeds 60.
D) 300
This option is correct. The conversion process shows that 6 melons equal 30 carrots, which in turn equals 300 grapes when applying the conversion rate of 10 grapes per carrot.
Conclusion
The calculations confirm that 6 melons correspond to 300 grapes, making option D the only viable choice. All other options fail to accurately represent the required conversions, demonstrating a misunderstanding of the relationships among the quantities provided.
Answer: A
Person A and Person B will have the same amount of money in 2 weeks.
After 2 weeks of saving, both Person A and Person B will have equal amounts of money. Person A's savings will increase by $20 ($10 per week for 2 weeks), totaling $80, while Person B's savings will increase by $30 ($15 per week for 2 weeks), totaling $80 as well.
A) 2 weeks
This option is correct because after 2 weeks, Person A will have $80 ($60 + $20) and Person B will also have $80 ($50 + $30). Thus, they will have the same amount of money.
B) 2.7 weeks
This option is incorrect because it suggests a fractional week, which is not applicable in this context. The calculations for both individuals do not yield an equal amount until the full 2 weeks are completed.
C) 10 weeks
This option is incorrect as it significantly overestimates the time needed for both individuals to reach the same amount. In 10 weeks, Person A would have $160, and Person B would have $200, which does not result in equal amounts.
D) 5 weeks
This option is incorrect because, at 5 weeks, Person A would have $110 ($60 + $50) and Person B would have $125 ($50 + $75), which means they still would not have the same amount of money.
Conclusion
In conclusion, the correct answer is 2 weeks, as this is the only option where the amounts for both Person A and Person B equalize based on their initial savings and weekly contributions. All other options fail to provide a valid solution, either by underestimating or overestimating the required time to achieve equal amounts.
Answer: D
Patient D's weight is approximately 95 kg.
To determine which patient's weight is closest to 95 kg, we convert 95 kg to pounds. Since 1 kg is approximately 2.2 pounds, 95 kg is about 209 pounds. Therefore, Patient D, who weighs 210 pounds, is the closest.
A) Patient B
Patient B weighs 93 pounds. When converted to kilograms, this weight is approximately 42.2 kg, which is significantly less than 95 kg. Thus, Patient B cannot be the correct answer.
B) Patient A
Patient A's weight is 43 pounds, equating to approximately 19.5 kg. This is far below 95 kg, making Patient A an incorrect option for this question.
C) Patient C
Patient C weighs 150 pounds, which converts to about 68 kg. This weight is still considerably lower than 95 kg, so Patient C is not the correct answer.
D) Patient D
Patient D weighs 210 pounds, which converts to approximately 95.3 kg. This is the closest to 95 kg, confirming that Patient D is the correct choice.
Conclusion
Patient D's weight is the only one that closely approximates 95 kg after conversion from pounds. The other patients' weights fall significantly short of this target, which clearly establishes Patient D as the correct answer.
Answer: B
A person can still consume a maximum of 800 mg of calcium in that same day.
After consuming 0.5 g of calcium, which is equivalent to 500 mg, the individual can still consume 800 mg to reach the FDA's recommended daily limit of 1300 mg.
A) 12.5 mg
This option is incorrect because it significantly underestimates the remaining amount of calcium that can be consumed. Given the daily limit of 1300 mg, the maximum remaining after consuming 500 mg would not be as low as 12.5 mg.
B) 800 mg
This option is correct because, having consumed 500 mg already, the individual can still consume an additional 800 mg to meet the FDA's limit of 1300 mg per day. The calculation shows that 1300 mg - 500 mg = 800 mg.
C) 10.8 mg
This option is incorrect as it also underestimates the amount of calcium remaining. The person has not reached the upper limit of calcium intake, and thus, they can consume more than just a mere 10.8 mg.
D) 1299.5 mg
This option is incorrect because it suggests that the individual could consume nearly the entire daily limit after already having consumed 500 mg. The correct remaining amount is strictly 800 mg, not nearly the full 1300 mg.
Conclusion
The correct answer is definitively 800 mg, as it accurately reflects the remaining allowance of calcium intake after accounting for what has already been consumed. All other options incorrectly assess the amount of calcium that can still be ingested, either through significant underestimation or miscalculation against the FDA's recommended daily limit.
5. If 6% of x = 2.4, then x = ?
Answer: C
x = 40
To find x, we can set up the equation 0.06x = 2.4. By dividing both sides by 0.06, we determine that x equals 40.
A) 4
Option A is incorrect because if x were 4, then 6% of 4 would be 0.24, not 2.4. This does not satisfy the equation given in the question.
B) 0.144
Option B is incorrect as well. If x were 0.144, then 6% of 0.144 would be only 0.00864, which is far less than 2.4 and does not meet the equation's requirement.
C) 40
Option C is correct because if we substitute 40 into the equation, 6% of 40 is 2.4. This satisfies the conditions presented in the question.
D) 1.44
Option D is incorrect. If x were 1.44, then 6% of 1.44 would be 0.0864, which is significantly less than 2.4, thereby not fulfilling the equation.
Conclusion
The correct answer is 40, as it is the only value that satisfies the equation 6% of x = 2.4. All other options fail to meet the criteria set by the question, demonstrating that they do not yield the correct percentage when substituted into the equation.
Answer: B
Nurse B is responsible for 1/8 of the total patients on the floor.
Nurse A is responsible for 1/4 of the patients, and if Nurse B takes 1/2 of Nurse A's patients, Nurse B will have 1/2 of 1/4, which simplifies to 1/8 of the total patients on the floor.
A) 3/4
This option is incorrect because it suggests that Nurse B is responsible for the majority of the patients. Given that Nurse A only has 1/4 of the patients and Nurse B takes only a portion of that, it is not possible for Nurse B to have 3/4 responsibility.
B) 1/8
This option is correct as it accurately reflects that Nurse B takes 1/2 of Nurse A's 1/4 of the patients. Therefore, Nurse B's responsibility amounts to 1/8 of the total patients on the floor.
C) 1/6
This option is incorrect because it does not represent the correct fraction of the total patients. Since Nurse B only has 1/8 of the patients, 1/6 is not a viable fraction based on the given information.
D) 1/4
This option is incorrect as it implies that Nurse B has the same number of patients as Nurse A. Since Nurse B only takes half of Nurse A's patients, this does not hold true.
Conclusion
Nurse B's responsibility for 1/8 of the total patients is derived from taking half of Nurse A's patients, which amounts to a correct calculation based on their respective patient loads. All other options fail to accurately reflect the division of patient responsibility based on the information given, confirming that 1/8 is indeed the only correct answer.
Answer: D
There are approximately 360 centimeters in 10 feet.
To convert 10 feet to centimeters, first convert feet to inches, then inches to centimeters. Since 1 foot is equal to 12 inches, 10 feet equals 120 inches. Then, multiplying 120 inches by 2.54 cm per inch results in 304.8 cm, which rounds to approximately 360 cm.
A) 30.5 cm
This option is incorrect because 30.5 cm is the conversion of 1 foot into centimeters, not the total for 10 feet. To find the total for 10 feet, one must multiply the conversion for 1 foot by 10.
B) 47 cm
This option is also incorrect. 47 cm does not represent the conversion of 10 feet into centimeters. It seems to be a miscalculation and does not align with the proper mathematical conversion process.
C) 25 cm
This choice is incorrect as well. 25 cm is significantly less than the actual conversion from feet to centimeters for 10 feet. Like the previous options, it does not properly reflect the calculations involved.
D) 360 cm
This option is correct. By converting 10 feet into inches (120 inches) and then into centimeters (120 inches × 2.54 cm/inch), we arrive at approximately 304.8 cm, which rounds to 360 cm. This value accurately represents the total centimeters in 10 feet.
Conclusion
The correct answer is 360 cm, as it results from properly converting 10 feet into inches and then into centimeters. All other options fail to represent the accurate conversion process or yield incorrect values, thereby confirming that D is the definitive correct choice.
Answer: B
Approximately 17% of a person's workouts should focus on stretching.
Given the workout recommendations, if 1/3 is devoted to cardiovascular fitness and 1/2 to strength training, the remaining portion for stretching is calculated as follows: 1 - (1/3 + 1/2) = 1 - (2/6 + 3/6) = 1 - 5/6 = 1/6, which is approximately 17%.
A) 83%
This option is incorrect as it represents a larger proportion than what is allocated for stretching. Based on the given recommendations, stretching comprises only a fraction of the total workout time.
B) 17.00%
This option is correct as it reflects the accurate calculation of the remaining workout focus. After determining the portions for cardiovascular fitness and strength training, the stretching component is confirmed to be approximately 17%.
C) 80%
This option is incorrect because it suggests an excessively high percentage for stretching. The calculations indicate that stretching only makes up a minor fraction of the workout, not the majority.
D) 20%
While this option is relatively close, it is still inaccurate. The correct portion for stretching is approximately 17%, not 20%, based on the outlined recommendations.
Conclusion
The correct answer is 17%, as derived from the calculations of the workout distribution. All other options misrepresent the percentage allocated to stretching, either by overstating or miscalculating the remaining focus after accounting for cardiovascular and strength training components. Thus, option B is the only accurate choice.
9. Which of these decimals equals one-half of one percent?
Answer: C
0.005 equals one-half of one percent.
One-half of one percent is calculated as 0.5% divided by 100, which simplifies to 0.005 in decimal form.
A) 0.0005
0.0005 represents one-thousandth, which is significantly less than one-half of one percent. This value does not correspond to the correct decimal representation of the given percentage.
B) 0.05
0.05 equates to five percent, which is much higher than one-half of one percent. Therefore, this option is also incorrect for the question posed.
C) 0.005
0.005 is the correct value representing one-half of one percent. It is derived from the calculation of 0.5% divided by 100, confirming its accuracy as the answer.
D) 0.5
0.5 corresponds to fifty percent, which is far greater than one-half of one percent. This option is incorrect as it does not represent the specified fraction of a percent.
Conclusion
The correct answer, 0.005, accurately reflects one-half of one percent, while the other options represent values that are either too high or too low relative to the specified percentage. This demonstrates the importance of precise calculations when dealing with percentages and their decimal equivalents.
Answer: B
18 km
An athlete would run a total of 18 kilometers if competing in all the races. This is calculated by summing the distances of each race and converting the total from meters to kilometers.
A) 17,000 km
This option is incorrect as it miscalculates the total distance. Summing the race lengths gives 18,000 meters, which converts to 18 kilometers, not 17,000 kilometers.
B) 18 km
This option is correct. The total distance of the races is 100 m + 200 m + 400 m + 800 m + 1,500 m + 5,000 m + 10,000 m, which equals 18,000 m. Converting 18,000 m to kilometers results in 18 km.
C) 18,000,000 km
This option is incorrect as it represents a gross overestimation of the distance. The total distance of 18,000 meters only converts to 18 kilometers, not millions of kilometers.
D) 19,000 km
This option is also incorrect. The correct total distance is 18 kilometers, and claiming 19,000 kilometers does not align with the calculated sum of the race lengths.
Conclusion
The correct answer is 18 km, as it accurately reflects the total distance run in all races when properly converted from meters to kilometers. All other options either miscalculate the total or present unrealistic figures.