Arithmetic Reasoning

At the drugstore today, a pack of tissues containing three boxes of tissues was $6.25, and a pack of paper towels containing four rolls of paper towels was $5.75. You ended up purchasing 12 boxes of tissues and 16 rolls of paper towels. How much was your total? A. $48 B. $41.75 C. $28 D. $42.25 E. $54

A (the answer): Because you are buying 12 boxes of tissues, you need 4 of the 3 pack tissues In addition, you are buying 16 rolls of paper towels, you need 4 of the 4 packs of paper towels Therefore, your total is: 4($6.25) + 4($5.75) = $25 + $23 = $48

A restaurant has 160 servings of chicken to be cooked tonight that will either be fried or grilled. 45% of the servings will be fried, and the rest will be grilled. How many serving will be grilled? A. 88 B. 72 C. 80 D. 100 E. 90

A (the answer): If 45% of the servings will be fried, that means the rest, or 55% will be grilled. Therefore: 0.55 (160) = 88 servings will be grilled

A preschooler spent 2 hours on the playground, 1 hour doing arts and crafts, and 2 1/2 hours napping. What percentage of her time was spent napping? A. 45% B. 36% C. 18% D. 55% E. 50%

A (the answer): The total number of hours is: 2 + 1 + 2 1/2 = 5 1/2 = 5.5 Then, we take the ratio of napping hours to total hours and convert it to a percentage: 2.5/5.5 = 0.45 = 45%

A 140-acre forest is cut in half to make way for development. What is the size of the new forest acreage? A. 70 B. 80 C. 90 D. 100 E. 120

A (the answer): To answer this question, simply calculate half of 140 acres: 140 / 2 = 70 acres

A man goes to the mall with $50.00. He spends $15.64 in one store and $7.12 in a second store. How much does he have left? A. $27.24 B. $32.76 C. $34.36 D. $42.80 E. $57.12

A (the answer): To find out how much he has remaining, both numbers must be subtracted from the original amount ($50.00): $50.00 - $15.64 - $7.12 = $27.24

A car lot has an inventory of 476 cars. If 36 people bought cars in the week after the inventory was taken, how many cars will remain in inventory at the end of that week? A. 440 B. 476 C. 484 D. 512 E. 536

A (the answer): To find the number of cars remaining, subtract the number of the cars that were sold from the original number: 476 - 36 = 440

A sloth travels 110 feet in 15 minutes. What is the sloths average speed? Round to the nearest tenth if necessary? A. 7 ft/min B. 7.3 ft/min C. 27.5 ft/min D. 15 ft/min E. 45.8 ft/min

B (the answer): Average speed is by dividing the total distance traveled by the total time taken to travel that distance Therefore, the slots average speed is: 110 feet / 15 minutes = 7.3 ft / min (rounded to one decimal point)

A car travels 135 miles at 45 miles per hour and then travels 165 miles at 55 miles per hour. What is the average speed of the car over the entire duration? A. 55 mph B. 50 mph C. 60 mph D. 49.5 mph E. 45 mph

B (the answer): Average speed is found by dividing the total distance traveled by the total time taken to travel that distance The total distance traveled is: 135 miles + 165 miles = 300 miles Next, we have to determine the total amount of time the trip took We can determine this by finding the sum of the times for each portion of the trip The first portion is described by the equation: 135 miles / 45 miles per hour = 3 hours The second portion by: 165 miles / 55 miles per hour = 3 hours Therefore, the average speed for the entire trip is: 300 miles / 6 hours = 50 mph

A woman has $450 in a bank account. She earns 0.5% interest on her end-of-month balance. How much interest will she earn for the month? A. $0.50 B. $2.25 C. $4.28 D. $4.73 E. $6.34

B (the answer): Calculate 0.5% of $450: $450 x 0.005 = $2.25

In a town, the ratio of men to women is 2:1. If the number of women in the town is doubled, what will be the new ratio of men to women? A. 1:2 B. 1:1 C. 2:1 D. 3:1 E. 4:1

B (the answer): Currently, there are two men for every woman. If the number of women is doubled, then the new ratio is 2:2. This is equivalent to 1:1

A man's lawn grass is 3 inches high. He moves the lawn and cuts off 30% of its height. How tall will the grass be after the lawn is mowed? A. 0.9 inches B. 2.1 inches C. 2.7 inches D. 2.9 inches E. 3.3 inches

B (the answer): First, calculate 30% of 3 inches: 30% x 0.3 = 0.9 inches Then, subtract this value from the original length: 3 - 0.9 = 2.1

A boy has a bag with 26 pieces of candy inside. He eats 8 pieces of candy, then divides the rest evenly between two friends. How many pieces of candy will each friend get? A. 7 B. 9 C. 11 D. 13 E. 18

B (the answer): First, figure out how many pieces of candy are in the bag before they are divided: 26 - 8 = 18 Then, figure out how many pieces each friend will get by dividing by 2: 18 divided by 2 = 9

A man buys two shirts. One is $7.50 and the other is $3.00. A 6% tax is added to his total. What is his total? A. $10.50 B. $11.13 C. $14.58 D. $16.80 E. $18.21

B (the answer): First, find the total before taxes: $7.50 + $3.00 = $10.50 Then, calculate 6% of the total: $10.50 x 0.06 = $0.63 Finally, add the tax to find the total cost: $10.50 + $0.63 = $11.13

Sam purchase a backpacks and a water bottle. The backpacks costs $39, and the water bottle costs $11. If an %8 sales tax is added, what is the final cost of Sam's purchase? A. $50 B. $54 C. $40 D. $50.08 E. $50.80

B (the answer): The total before tax is: $39 + $11 = $50 We can apply an: 8% tax rate To obtain the sales tax of: $50 (.08) = $4 Therefore, the total was: $50 + $4 = $54

A women must earn $250 in the next four days to pay a traffic ticket. How much will she have to earn each day? A. $45.50 B. $62.50 C. $75.50 D. $100.50 E. $125

B (the answer): The women has four days to earn $250. To find the amount she must earn each day, divide the amount she must earn ($250) by 4: 250 / 4 = $62.50

Katie needs envelopes for her party invitation business. She has $50 budgeted for envelopes, and they cost $0.03 each. What is the maximum number of envelopes she can purchase? A. 1600 B. 1666 C. 1500 D. 150 E. 1800

B (the answer): To find out how many envelopes she can buy, we divide $50 by $0.03 Obtaining approximately: 1666.6 There, she can buy: 1666 envelopes

Find the volume of a rectangular tissue box that is 9 inches long by 4 inches wide and 5 inches tall? A. 180 square inches B. 180 cubic inches C. 36 square inches D. 45 cubic inches E. square inches

B (the answer): Volume is equal to length times width times height Therefore: V = 9 x 4 x 5 = 180 cubic inches

Approximately how long does it take a car travelling at 57 mph to go 33 miles? A. 34.8 hours B. 34.8 minutes C. 1.72 hours D. 1.72 minutes E. 45.4 minutes

B (the answer): We can use the distance formula: d = rt Where "d" is the distance, "r" is the rate or speed, and "t" is the time In this case: 33 miles = 57 miles / 1 hour (t) Dividing both sides by: 57 We can find that t = 0.58 hours Since this is not an answer choice, we must convert hours to minutes by multiplying by: 60 Which gives us 34.8 minutes

Four friends go shopping. They purchase items that cost $6.65 and $159.23. If they split the cost evenly, how much will each friend have to pay? A. $26.64 B. $39.81 C. $41.47 D. $55.30 E. $82.95

C (the answer): Find the total cost of the items: $6.65 + 159.23 = $165.88 Then, calculate how much each individual will owe: $165.88 / 4 = $41.47

A woman weighing 250 pounds goes on a diet. During the first week, she loses 3% of her body weight. During the second week, she loses 2%. At the end of the second week, how many pounds has she lost? A. 12.5 B. 10 C. 12.35 D. 15 E. 17.5

C (the answer): First, calculate 3% of 250 pounds: 250 x 0.03 = 7.5 lb Calculate how much she weighs at the end of the first week: 250 - 7.5 = 242.5 lb Calculate 2% of 242.5: 242.5 x 0.02 = 4.85 lb Add the two values together to get the total: 7.5 + 4.85 = 12.35

A girl scores a 99 on her math test. On her second test, her score drops by 15. On the third test, she scores 5 points higher than she did on her second. What was the girl's score on the third test? A. 79 B. 84 C. 89 D. 99 E. 104

C (the answer): First, calculate her score on the second test: 99 - 15 = 84 Then, calculate her score on the third test: 84 + 5 = 89

A farmer has 360 cows. He decides to sell 45. Shortly after, he purchases 85 more cows. How many cows does he have? A. 230 B. 315 C. 400 D. 490 E. 530

C (the answer): First, calculate how many he has after selling 45: 360 / 45 = 315 Then, calculate how many he has after buying 85: 315 + 85 = 400

One worker has an office that is 20 feet long. Another has an office that is 6 feet longer. What is the combined length of both offices? A. 26 feet B. 36 feet C. 46 feet D. 56 feet E. 66 feet

C (the answer): First, calculate the length of the second office: 20 + 6 = 26 feet Then, add both values together to get a combined length: 26 + 20 = 46 feet

Two women have credit cards. One earns 3 points for every dollar she spends. The other earns 6 points for every dollar she spends. If they each spend $5.00, how many combined total points will they earn? A. 15 B. 30 C. 45 D. 60 E. 75

C (the answer): First, figure out how many points the first women will earn: 3 x 5 = 15 Then, figure out how many points the second women will earn: 6 x 5 = 30 Then, add these two values together: 30 + 15 = 45 points total

Three children decide to buy a gift for their father. The gift costs $78. One child contributes $24. The second contributes $15 less than the first. How much will the third child have to contribute? A. $15 B. $39 C. $45 D. $62 E. $69

C (the answer): First, figure out how much the second child contributed: $24.00 - $15.00 = $9.00 Then, calculate how much the first two children contributed in total: $24.00 + $9.00 = $33.00 Finally, figure out how much the third child will have to contribute: $78.00 - $33.00 = $45.00

If 5 people buy 3 pens each and 3 people buy 7 pencils each, what is the ratio of the total number of pens sold to the total number of pencils sold? A. 7:3 B. 3:7 C. 5:7 D. 1:1 E. 5:3

C (the answer): First, find the total number of pens: 5 x 3 = 15 Then, find the total number of pencils: 3 x 7 = 21 Finally, express it as a ratio: 15:21 or 5:7

In a drawing that contains both circles and squares, there are 16 more circles than squares. The total number of circles and squares is 36. How many squares are there in the drawing? A. 16 B. 26 C. 10 D. 24 E. 18

C (the answer): If there are x squares in the drawing, there are: x + 16 circles Therefore: x + (x + 16) = 2x + 16 = 36: Solving this for: x, x = 10 Therefore, there are: 10 squares and 26 circles

While playing the lottery, Kevin won $47.50 but then lost $12 on scratch-offs. The next day, he lost $27 more playing another game. How much money does he have left? A. $86.50 B. $62.50 C. $8.50 D. $0.00 E. $12.50

C (the answer): Kevin has: $47.50 - $12.00 - $27.00 = $8.50 left

A total of $240 was spent on apples and oranges. Each apple cost $2, each orange cost $4, and an equal number of each type of fruit was purchased. How many apples were purchased? A. 20 B. 30 C. 40 D. 50 E. 60

C (the answer): Let "x" represent the number of apples or oranges purchased Because an equal number of each type of fruit was purchased, they can be represented by the same variable: "x" Therefore: $2x + $4x = $6x = $240 Dividing both sides by $6 We find that x = 40 Therefore: 40 apples and 40 oranges were purchased

What is the perimeter of a rectangular room that is 35 feet long and 88 feet wide? A. 3080 feet B. 158 feet C. 246 feet D. 1540 square feet E. 3080 square feet

C (the answer): The perimeter of a rectangle is: P = 2L + 2W Where "L" is the length and "W" is the width Therefore, the perimeter of this room is: P = 2 (35) + 2 (88) = 70 + 176 = 246 feet

At the gym, 30% of the equipment consists of cardio machines. Of the cardio machines, 40% are treadmills. What percentage of the equipment at the gym consists of treadmills? A. 67% B. 1.2% C. 70% D. 12% E. 10%

D (the answer): 40% of 30% is: 0.4(0.3) = 0.12 = 12%

Which of the following is NOT a way to write 50% of x? A. 0.50 x B. 50/100 x C. 1/2 x D. 50x E. 2/4 x

D (the answer): 50x is equal to 50 times "x", which is not equivalent to: 50% of "x" OR 50% times "x" The other four responses are different ways to write: 50% times "x" Including the fractions which are different ways to write: 50 /100 OR 1 / 2

Krystal spent 32 minutes answering emails, 25 minutes on a phone call, and 45 minutes in a meeting this morning at work. What percentage of the total time did she spend on the phone call? A. 32% B. 36% C. 44% D. 25% E. 31%

D (the answer): First, we find the total number of minutes: 32 + 25 + 45 = 102 minutes Then, we find the ratio of the time spent on her phone call to the total time: 25/102 = 0.245 Converting this to a percent, we have approximately: 25%

If one gallon of paint can paint 3 rooms, how many rooms can be painted with 28 gallons of paint? A. 10 B. 25 C. 56 D. 84 E. 92

D (the answer): One gallon of paint can paint three rooms, so to find out how many 28 gallons can do, that number must be multiplied by 3: 28 x 3 = 84 rooms

If a car can travel 210 miles in 3.5 hours, how far can it travel in 40 minutes (assuming it travels at the same speed)? A. 45 miles B. 55 miles C. 35 miles D. 40 miles E. 60 miles

D (the answer): The car is travelling at a speed of: 210 miles / 3.5 hours = 60 mph Therefore, the car is travelling at a rate of: 60 miles per 60 minutes Then, let "x" be the number of miles traveled in 40 minutes: x miles / 40 minutes = 60 miles / 60 minutes OR x miles / 40 minutes = 1 mile / 1 minute The car will travel 40 miles in 40 minutes

If a chef can make 25 pastries in a day, how many can he make in a week? A. 32 B. 74 C. 126 D. 175 E. 250

D (the answer): There are 7 days in a week. Knowing that the chef can make 25 pastries in a day, the weekly number can be calculated: 25 x 7 = 175

Snack boxes are taken on a school field trip. Each snack box holds either pretzels, chips, or a granola bar. If 1/3 of the snack boxes contain pretzels and 1/4 contains chips, which fraction of the snack boxes contain granola bars? A. 7/12 B. 1/12 C. 5/7 D. 1/2 E. 5/12

E (the answer): Start by adding together the total fraction of pretzels and chips: 1/3 + 1/4 = 4/12 + 3/12 = 7/12 Therefore: 7/12 of the boxes containing pretzels and chips Therefore: 1 - 7/12 = 12/12 - 7/12 = 5/12 are granola bars

If a car can travel 55 mph to its first destination, 52 mph to its second destination, and 58 mph to its third destination. What is the average of its three speeds? A. 53.5 mph B. 51 mph C. 52 mph D. 56.5 mph E. 55 mph

E (the answer): We find the average by adding the three speeds and dividing by: 3 Therefore, the average of the car's three speeds was: 55 + 52 + 58 / 3 = 55 mph

40 is what percent of 85? A. 47% B. 34% C. 43% D. 65% E. 40%

A (the answer): To find what percent: 40 is of 85 Then divide: 85 by 40 and to convert to a percentage Therefore: 40/85 = 0.471 = 47%

70 is 80 % of what number? A. 56 B. 87.5 C. 1.1 D. 112.5 E. 52.5

B (the answer): Let "x" be the unknown quantity Therefore: 70 = 0.8x Dividing both sides by: 0.8 We obtain that: x = 87.5

Solve 15x + 80 = 110 for x A. 3 B. 12.7 C. 2 D. 1.2 E. 10

C (the answer): First, subtract 80 from both sides of the equation to obtain 15x = 30 Then, divide both sides by 15 to obtain the solution x = 2

A man earns $15.23 per hour and gets a raise of $2.34 per hour. What is his new hourly rate of pay? A. $12.89 B. $15.46 C. $17.57 D. $23.40 E. $35.64

C (the answer): To calculate his new salary, add his raise to his original salary: $15.23 + $2.34 = $17.57

Four workers at a shelter agree to care for the dogs over a holiday. If there are 48 dogs, how many must each worker look after? A. 8 B. 10 C. 12 D. 14 E. 16

C (the answer): To calculate this value, divide the number of dogs (48) by the number of workers that are available to care for them (4): 48 / 4 = 12

What is 35% of 200? A. 25 B. 35 C. 571 D. 70 E. 140

D (the answer): 35% converted to a decimal is: 0.35% Therefore, we can find that: 35% of 200 is: 0.35 (200) = 70

A 13 story building has 65 apartments. If each floor has an equal number of apartments, how many apartments are on each floor? A. 2 B. 3 C. 4 D. 5 E. 6

D (the answer): To find the number of apartments on each floor, divide the total number of apartments by the number of floors: 65 / 13 = 5

600 students must share a school that has 20 classrooms. How many students will each classroom contain if there are an equal number of students in each class? A. 10 B. 15 C. 20 D. 25 E. 30

E (the answer): Divide the number of students (600) by the number of classrooms they will share (20): 600 / 20 = 30

A company employing 540 individuals plans to increase its workforce by 13%. How many people will the company employ after the expansion? A. 527 B. 547 C. 553 D. 570 E. 610

E (the answer): First, calculate 13% of 540: 540 x 0.13 = 70.2 (round to 70) Then, add this value onto the original number of workers: 540 + 70 = 610

(-4) - (9) = ? A. -13 B. -5 C. 13 D. 5 E. -12

A (the answer): (-4) - 9 is equivalent to: (-4) + (-9) The sum of two negatives numbers is negative Therefore: (-4) - 9 = -13

Five workers earn $135/day. What is the total amount earned by the five workers? A. 675 B. 700 C. 725 D. 750 E. 775

A (the answer): Each earns $135, so to find the total earned, that amount must be multiplied by the number of workers: 135 x 5 = $675

How many people can travel on 6 planes if each carries 300 passengers? A. 1800 B. 1200 C. 600 D. 350 E. 300

A (the answer): To find the total number of passengers, multiply the number of planes by the number of passengers each can hold: 6 x 300 = 1800

(15) - (-13) = ? A. 2 B. 28 C. -28 D. -2 E. 13

B (the answer): This expression can be changed to: 15 + 13 = 28 Since the opposite of a negative number is a positive number

Three outlets are selling concert tickets. One ticket outlet sells 432; another outlet sells 238; the third outlet sells 123. How many concert tickets were sold in total? A. 361 B. 555 C. 670 D. 793 E. 823

D (the answer): Add the number of tickets that were sold at each location to get the total number of tickets sold: 432 + 238 + 123 = 793

A couple plans to buy a car. They have $569 in a joint bank account. The man has $293 in additional cash and the woman has $189. What is the most expensive down payment they will be able to afford? A. $482 B. $758 C. $862 D. $1051 E. $1121

D (the answer): Calculate the total amount of money the couple has available to spend, which is the amount in the joint bank account and the amount that each has $569 + $293 + $189 = 1051

A woman is traveling to a destination 583 km away. If she drives 78 km every hour, how many hours will it take for her to reach her destination? A. 2.22 B. 3.77 C. 5.11 D. 7.47 E. 8.32

D (the answer): Divide the total distance she must travel (583 km) by the number of kilometers she drives each hour (78 km) to figure out how many hours it will take to reach her destination: 583 km/ 78 km/hr = 7.47 hours

The temperature of a cup of coffee is 98 degrees. If its temperature decreases by 2 degrees per minute, what will its temperature be after 4 minutes? A. 100 degrees B. 98 degrees C. 94 degrees D. 90 degrees E. 88 degrees

D (the answer): First, find out what the total temperature decrease will be after 4 minutes: 2 x 4 = 8 degrees Then, subtract that from the original temperature: 98 - 8 = 90 degrees