1.
15 is what percent of 75?
Correct Answer
D. 20%
Explanation
To find the percentage, we can divide the given number (15) by the total number (75) and then multiply by 100. In this case, 15 divided by 75 is 0.2. Multiplying 0.2 by 100 gives us 20%. Therefore, 15 is 20% of 75.
2.
It takes a mechanic 25 minutes to run an emissions test on a car. There are three cars to be tested. If the mechanic begins at 1:40 p.m, when will she be finished?
Correct Answer
B. 2:55 p.m
Explanation
The mechanic takes 25 minutes to test each car. Since there are three cars, she will take a total of 25 minutes x 3 = 75 minutes to finish testing all the cars. Starting at 1:40 p.m, she will be finished at 1:40 p.m + 75 minutes = 2:55 p.m. Therefore, the correct answer is 2:55 p.m.
3.
A student earns $2,280.50 each month at a part-time job. The student pays the following amounts for expenses each month:
Rent…………
$452.00
Food…………
$360.00
Utilities………
$265.80
Car expenses
$540.00
After paying the monthly expenses listed above, which of the following represents the amount of money the student has left for other expenses?
Correct Answer
D. $662.70
Explanation
The student earns $2,280.50 each month and pays a total of $452.00 for rent, $360.00 for food, $265.80 for utilities, and $540.00 for car expenses. To find the amount of money the student has left for other expenses, we subtract the total expenses from the monthly earnings: $2,280.50 - $452.00 - $360.00 - $265.80 - $540.00 = $662.70. Therefore, the correct answer is $662.70.
4.
If the perimeter of a rectangular house is 74 yards, and the length is 24 feet, what is the width of the house?
Correct Answer
B. 29 yards
Explanation
Since the perimeter of a rectangle is the sum of all its sides, we can calculate the width of the house by subtracting the length from the perimeter and then dividing by 2. In this case, the length is given in feet, so we need to convert it to yards. The length of 24 feet is equivalent to 8 yards. Therefore, the width of the house is (74 - 8) / 2 = 33 yards / 2 = 16.5 yards. Since none of the options matches this calculation, the correct answer is not available.
5.
What amount does A most closely represent?
Correct Answer
D. 6.25%
Explanation
A most closely represents 6.25% because it is the only option that matches the given percentage. 33% is significantly higher than 6.25% and two eighths is equivalent to 25%, which is lower than 6.25%. Therefore, the closest representation is 6.25%.
6.
Larry bought a house for $120,000. After one year, its value appreciated (increased in value) by 25%. During the second year, its value depreciated (decreased in value) by 18% from its value at the end of the first year.
What was the value of the house at the end of the second year?
Correct Answer
A. $123,000
Explanation
The value of the house at the end of the first year increased by 25%, which means it became 125% of its original value. So, the value at the end of the first year would be $120,000 * 1.25 = $150,000. Then, during the second year, the value depreciated by 18%, which means it became 82% of its value at the end of the first year. So, the value at the end of the second year would be $150,000 * 0.82 = $123,000.
7.
The ratio of 7:4 = (?)%
Correct Answer
B. 175%
Explanation
The ratio 7:4 can be converted to a percentage by dividing 7 by the total of 7+4 (which is 11) and then multiplying by 100. This gives us (7/11) * 100 = 63.636%. However, since the options provided do not include this exact percentage, the closest option is 175%.
8.
The symbol $ is defined by:
a $ b = a^{2} – 4b^{2}
If x $ y = 3(y $ x),
express y in terms of x.
Correct Answer
B.
Explanation
In this problem, we are given that x $ y = 3(y $ x). We need to express y in terms of x.
To do this, we can substitute the definition of the $ symbol into the equation.
Let's start by substituting x $ y into the equation:
3(y $ x) = 3((x^2 - 4y^2))
Now, let's simplify the equation:
3(x^2 - 4y^2) = 3x^2 - 12y^2
Next, let's distribute the 3 to both terms inside the parentheses:
3x^2 - 12y^2 = 3x^2 - 12y^2
Since the equation is true for all values of x and y, we can conclude that y = x.
Therefore, the expression of y in terms of x is y = x.
9.
A computer is on sale for $2100, which is a 30% discount off the regular price. What is the regular price?
Correct Answer
C. $3000
Explanation
The regular price of the computer can be calculated by dividing the sale price by (100% - discount percentage) and then multiplying it by 100%. In this case, dividing $2100 by (100% - 30%) and multiplying it by 100% gives us $3000, which is the regular price of the computer.
10.
What is the value of x in this 30-60-90 triangle?
Correct Answer
C.
Explanation
In a 30-60-90 triangle, the sides are in the ratio 1:√3:2. Since the given side is 2, we can determine the value of x by multiplying 2 by √3. Therefore, the value of x in this triangle is 2√3.
11.
If 300 jellybeans cost you x dollars, how many jellybeans can you purchase for 30 cents at the same rate?
Correct Answer
B.
Explanation
To find the number of jellybeans that can be purchased for 30 cents, we need to determine the cost of one jellybean. Since 300 jellybeans cost x dollars, we can calculate the cost of one jellybean by dividing x by 300. Once we have the cost of one jellybean, we can determine how many jellybeans can be purchased for 30 cents by dividing 30 cents by the cost of one jellybean. Therefore, the correct answer is 6x.
12.
A goat eats 225 kg. of hay in 45 days, while a cow eats the same amount in 15 days. In how many days could they eat 225 kg. of grass together?
Correct Answer
D. 20
Explanation
The cow eats 225 kg of hay in 15 days, which means it eats 15 kg of hay per day. The goat eats the same amount of hay in 45 days, so it eats 5 kg of hay per day. Together, they eat 15 kg + 5 kg = 20 kg of hay per day. Therefore, it would take them 20 days to eat 225 kg of grass together.
13.
The pie chart describes the percent of the time that each person spent watching television. What is the ratio between the amount of time spent by females to males?
Correct Answer
C.
Explanation
The ratio between the amount of time spent by females to males can be calculated by dividing the percentage of time spent by females (70%) by the percentage of time spent by males (100% - 70% = 30%). Therefore, the ratio is 70% / 30% = 7:3.
14.
What are the cost in dollars to steam clean a room 2W yards wide and 3L yards long it the steam cleaners charge 10 cents per square foot?
Correct Answer
C. 5.4WL
Explanation
The cost to steam clean a room is determined by the area of the room. The given room is 2W yards wide and 3L yards long, so the area of the room is 2W * 3L = 6WL square yards. Since the steam cleaners charge 10 cents per square foot, we need to convert the area from square yards to square feet. There are 9 square feet in 1 square yard, so the area in square feet is 6WL * 9 = 54WL. Finally, multiplying the area in square feet (54WL) by the cost per square foot (0.1 dollars), we get the cost of 5.4WL dollars.
15.
Which two years did the least number of boys attend the convention?
Correct Answer
B. 1995 and 1996
Explanation
The correct answer is 1995 and 1996. The question asks for the two years in which the least number of boys attended the convention. By comparing the given options, it can be determined that 1995 and 1996 had the least number of boys attending the convention.
16.
A car dealer sells an SUV for $43,200, which represents a 35% profit over the cost. What was the price of the SUV to the dealer?
Correct Answer
C. $32,000
Explanation
The price of the SUV to the dealer can be calculated by dividing the selling price by 1 plus the profit percentage. In this case, dividing $43,200 by 1.35 gives us $32,000.
17.
The circle, center O, has a radius of 8 inches.
Find the length of the arc AB that subtends an angle of 63° at O (i.e., Angle AOB = 63°).
Use π = 22/7
Correct Answer
B. 8.8 inches
Explanation
The length of an arc can be found by multiplying the circumference of the circle by the ratio of the angle subtended by the arc to the total angle of a full circle (360°). In this case, the angle subtended by the arc AB is 63°.
The circumference of a circle can be found using the formula C = 2πr, where r is the radius. Plugging in the given radius of 8 inches, we get C = 2(22/7)(8) = 50.29 inches.
To find the length of the arc AB, we can use the formula L = (63/360) * C. Plugging in the values, we get L = (63/360) * 50.29 = 8.8 inches. Therefore, the length of arc AB is 8.8 inches.
18.
Oxacillin (Prostaphlin), 500 mg. p.o. q6h has been ordered for your client. Oxacillin comes in a suspension containing 250 mg/5 mL. How many total milliliters would you administer if the order calls for 14 days of therapy?
Correct Answer
D. 560 mL
Explanation
The order is for 500 mg of oxacillin every 6 hours. The suspension contains 250 mg in 5 mL. To calculate how many milliliters would be administered in 14 days, we need to determine the total amount of medication needed. Since the medication is taken every 6 hours, there are 4 doses in a day. Therefore, the total amount of medication needed for 14 days is 500 mg x 4 doses x 14 days = 28,000 mg. To convert this to milliliters, we can use the ratio of 250 mg/5 mL. Cross-multiplying, we find that 28,000 mg is equal to 560 mL. Therefore, the correct answer is 560 mL.
19.
What is 35% of a number if 12 is 15% of a number?
Correct Answer
B. 28
Explanation
If 12 is 15% of a number, we can find the whole number by dividing 12 by 0.15. This gives us a whole number of 80. Now, to find 35% of this number, we multiply 80 by 0.35. The result is 28. Therefore, 35% of the number is 28.
20.
In the graph below, no axes or origin is shown. If point B's coordinates are (8,2), which of the following coordinates would most likely be A's?
Correct Answer
C. (4, 7)
Explanation
Based on the given information that point B's coordinates are (8,2), we can determine that point A is likely to be located in the same quadrant as point B. Since point B is in the first quadrant (positive x and y values), the coordinate (4, 7) is the most likely choice for point A as it is also in the first quadrant. The other options have either negative x or y values, which would place them in different quadrants.
21.
If your client is supposed to receive three 500-mL units of whole blood over the next 6 hours and the drip factor is 10 drops/mL, you adjust the rate to how many drops per minute?
Correct Answer
A. 42 drops
Explanation
To calculate the rate in drops per minute, we need to consider the volume of blood to be infused and the time in which it needs to be administered. Since the client is supposed to receive three 500-mL units of whole blood over 6 hours, the total volume is 1500 mL. To convert this to drops, we multiply it by the drip factor (10 drops/mL), resulting in 15,000 drops. To find the rate per minute, we divide this by the total time in minutes (6 hours x 60 minutes = 360 minutes), which gives us 41.67 drops per minute. Rounding up, the correct answer is 42 drops.
22.
A local football team season ticket sales have gone up 10% in the current season, reaching 880 tickets. How many season tickets were sold in the last season?
Correct Answer
A. 800
Explanation
The current season ticket sales have increased by 10% and reached 880 tickets. To find out the number of tickets sold in the last season, we need to reverse the 10% increase. If 880 tickets represent 110% (100% + 10%), then we can calculate the number of tickets sold in the last season by dividing 880 by 110 and multiplying it by 100. This calculation gives us 800 tickets, which is the number of season tickets sold in the last season.
23.
You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?
Correct Answer
C. $13.40
Explanation
After calculating the sales tax on the textbook, which is 8.25% of $80.00, we find that the tax amount is $6.60. To find the total cost, we add the price of the textbook and the tax amount, which gives us $86.60. To find the change, we subtract the total cost from the amount of money we have, which is $100.00. The change we will receive back is $13.40.
24.
0.89 + 3.8 + .036 =
Correct Answer
B. 4.726
Explanation
The given expression involves adding three numbers: 0.89, 3.8, and 0.036. When we add these numbers together, we get a sum of 4.726. Therefore, the answer is 4.726.
25.
The price of the book was decreased by 20% two times in one year. It now costs 180$ less than the original price. What was the original price?
Correct Answer
C. 500
Explanation
The original price of the book was 500 dollars. The price was decreased by 20% two times, which means it was reduced to 80% of its original price each time. This can be calculated by multiplying the original price by 0.8 twice. If we subtract the final price from the original price, which is 180 dollars, we get the equation 500 - 0.8 * 500 - 0.8 * 0.8 * 500 = 180. Solving this equation, we find that the original price is indeed 500 dollars.
26.
If jogging for one mile uses 150 calories and brisk walking for one mile uses 100 calories, a jogger has to go how many times as far as a walker to use the same number of calories?
Correct Answer
D. 2/3
Explanation
A jogger uses 150 calories for one mile, while a walker uses 100 calories for the same distance. To use the same number of calories, the jogger needs to cover a shorter distance. Since 100 calories is 2/3 of 150 calories, the jogger needs to go 2/3 times as far as the walker to burn the same number of calories.
27.
The following figure contains both a circle and a square. What is the area of the entire shaded figure?
Correct Answer
A. 24 + 8∏
Explanation
The shaded figure consists of a circle and a square. The area of the circle can be calculated using the formula A = πr^2, where r is the radius. The area of the square can be calculated by multiplying the length of one side by itself. The area of the entire shaded figure is the sum of the areas of the circle and the square, which is 24 + 8π.
28.
Correct Answer
D.
29.
In a small village called “Rose," there are 9 families with 3 children, 8 families with 2 children and 4 families having 5 children. What is the average number of children in a family?
Correct Answer
B. 3
Explanation
The average number of children in a family can be calculated by dividing the total number of children by the total number of families. In this case, there are 9 families with 3 children each, 8 families with 2 children each, and 4 families with 5 children each. The total number of children is (9 * 3) + (8 * 2) + (4 * 5) = 27 + 16 + 20 = 63. The total number of families is 9 + 8 + 4 = 21. Therefore, the average number of children in a family is 63 divided by 21, which equals 3.
30.
The nurse practitioner orders digoxin pediatric elixir 375 micrograms daily. The elixir dilution is 0.05 mg/mL. How many teaspoons will the nurse instruct the parent to administer?
Correct Answer
C. 1.5 tsp
Explanation
The nurse practitioner orders digoxin pediatric elixir 375 micrograms daily. The elixir dilution is 0.05 mg/mL. To calculate the amount of elixir to administer, we need to convert micrograms to milligrams. Since there are 1000 micrograms in 1 milligram, 375 micrograms is equal to 0.375 milligrams. Next, we divide the dose (0.375 mg) by the concentration of the elixir (0.05 mg/mL) to find the volume of elixir needed. This calculation gives us 7.5 mL. Finally, we convert mL to teaspoons, knowing that 1 teaspoon is equal to 5 mL. Therefore, the nurse will instruct the parent to administer 1.5 teaspoons of the digoxin pediatric elixir.
31.
In a college, some courses contribute more to an overall GPA than other classes. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points, and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and an “A” in Microbiology?
Correct Answer
C. 3.38
Explanation
The GPA is calculated by multiplying the grade points of each course by the number of credits, and then dividing the total by the sum of the credits. In this case, Trigonometry is worth 2 points, American History is worth 3 points, Botany is worth 4 points, and Microbiology is worth 4 points. The student received a C (2 points) in Trigonometry, a B (3 points) in American History, and two A's (4 points each) in Botany and Microbiology. Adding up the grade points (2 + 3 + 4 + 4) and dividing by the sum of the credits (1 + 1 + 1 + 1), the GPA is 3.38.
32.
Three tenths of 18 equals:
Correct Answer
D. 5.4
Explanation
To find three tenths of 18, we can multiply 18 by 0.3. This is because three tenths is equivalent to 0.3. Multiplying 18 by 0.3 gives us a result of 5.4, which is the correct answer.
33.
The cost of a list of supplies for a hospital ward is as follows:
$19.98, $52.20, $12.64, and $7.79
What is the total cost?
Correct Answer
C. $92.61
Explanation
The correct answer is $92.61. To find the total cost, we add up all the individual costs: $19.98 + $52.20 + $12.64 + $7.79 = $92.61.
34.
Correct Answer
D.