Arithmetic Reasoning Practice Test
Questions and Answers
- 1.
There are 112 male and 78 females working at a hospital. What percentage of the hospitals workforce is female?
- A.
13%
- B.
30%
- C.
41%
- D.
52%
Correct Answer
C. 41%Explanation
Add the number of men and women to get the total number of: 190. Then divide 78 by 190 (78/190) to get .4105. Then multiply by 100 to convert it to a percentage and you have 41%.Rate this question:
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- 2.
At Frank's restaurant, one-fourth of the patrons are male and one-fifth of the patrons are from out of town. What proportion would you expect to be male and out of town?
- A.
1/2
- B.
1/10
- C.
1/15
- D.
1/20
Correct Answer
D. 1/20Explanation
If one-fourth of the patrons are male, then you would expect one-fourth of the out-of-town patrons to be male. One fourth of one-fifth is 1/20.Rate this question:
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- 3.
What is the estimated product when 620 and 374 are rounded to the nearest hundred and multiplied?
- A.
240,000
- B.
311,000
- C.
444,000
- D.
525,000
Correct Answer
A. 240,000Explanation
620 is rounded to 600; 374 is rounded to 400. Multiply 600 x 400 = 240,000.Rate this question:
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- 4.
If a patient doesn't receive treatment for a certain injury within 2 hours after injury, the patient's chance of survival starts decreasing by 15% each hour. If no treatment has been given within four hours after injury, roughly, what chance of survival will the patient have?
- A.
50%
- B.
62%
- C.
72%
- D.
81%
Correct Answer
C. 72%Explanation
At the end of two hours, the patient still has a 100% chance of survival. After three hours, he has an 85% of survival, or 0.85. After four hours, he has an 85% and of the 85% he had at the end of three hours: 0.85 x 0.85 = 72.25% chance of survival.Rate this question:
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- 5.
William is from England and is visiting the United States. On his trip he visits Texas and notices that it is very hot. He looks at a thermometer and it reads 95 degrees Fahrenheit. William wants to know what this converts to in Celcius?
- A.
30 degrees C
- B.
35 degrees C
- C.
55 degrees C
- D.
60 degrees C
Correct Answer
B. 35 degrees CExplanation
Substituting 95 for F in the equation yields C = (95 - 32) = 63 / 1.8 = 35 degrees C.Rate this question:
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- 6.
A student scores 74, 87, 68, 63, 76 on his last five exams. His teacher will drop the lowest grade to compute the student's average. What is the students average in class?
- A.
49.3%
- B.
65.5%
- C.
76.3%
- D.
80.8%
Correct Answer
C. 76.3%Explanation
The teacher will drop the 63, and only count the four best scores. These are 74, 87, 68, and 76 . To find the average, add the 4 numbers and divide the sum by 4. 305 / 4 = 76.25.Rate this question:
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- 7.
2 1/4 + 6 3/8 =
- A.
8
- B.
8 3/8
- C.
8 5/8
- D.
9
Correct Answer
C. 8 5/8Explanation
Convert the 1/4 to 2/8 and then add 2/8 to 3/8 to get 5/8. Then add 6+2 and you will get 8 5/8.Rate this question:
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- 8.
A world map has a scale of 1/4 of an inch equals 250 miles. You measure the distance between New York and Los Angeles and it equals 3 inches. What is the real distance between New York and LA?
- A.
2,220 miles
- B.
2,799 miles
- C.
3,000 miles
- D.
4,100 miles
Correct Answer
C. 3,000 miles -
- 9.
Of 1,000 dogs, 72% are male. Among the males, 3 out of 5 were over the age of 5. How many of the dogs were male over the age of 5?
- A.
300
- B.
310
- C.
432
- D.
441
Correct Answer
C. 432Explanation
First, multiply 1000 x .72 to find out how many dogs are male. This results in 720 male dogs of which 3/5 are over the age of 5. Therefore, multiply 720 x 3/5 (or .6) which results in 432.Rate this question:
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- 10.
There are 78 female and 54 male patrons at a local diner. What percentage of the diner's patron are female?
- A.
20%
- B.
50%
- C.
55%
- D.
59%
Correct Answer
D. 59%Explanation
Add 78 to 54 to get 132 total patrons, then divide the number of females into the total number of patrons. Therefore, 78/132 = .5909 = 59%.Rate this question:
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- 11.
A new cancer treatment provides a 50% success rate for patients with lung tumors. Lung tumors make up 10% of all cancer patients. What percentage of all cancer patients will this new drug work on?
- A.
1%
- B.
5%
- C.
10%
- D.
15%
Correct Answer
B. 5%Explanation
Multiply the two percentages. Therefore, multiply .50 x .10 and you get .05 or 5%.Rate this question:
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- 12.
A person has a heart attack can be saved 90% of the time is a defibrillator is used within 5 minutes of the heart attack. Of the people that have heart attacks, defibrillators are within the vicinity 40% of the time; however, they are only used 60% of the time even when they are in the surrounding area. How many people who suffer a heart attack are saved because of the use of a defibrillator?
- A.
12%
- B.
22%
- C.
30%
- D.
41%
Correct Answer
B. 22%Explanation
If a defibrillator is used, we know that the patient will have a 90% success rate; however, only 40% of the people have this option available. Therefore we take .9 x.4 and know that only 36% of the people have this opportunity.
We also know that 36% of the suffers, only 60% of the time a defibrillator is used. Therefore, .6 x .36 = .216, which reveals how many people are saved due to the use of a defibrillator.Rate this question:
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- 13.
A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallons jugs which contain 10% water. How much water must they add to create a 80/20 mix of paint to water?
- A.
1.10 gallon1
- B.
1.25 gallons
- C.
2.2 gallons
- D.
2.8 gallons
Correct Answer
B. 1.25 gallonsExplanation
Currently the mixture is 90% paint, 10% water or 9 gallons of paint for every 1 gallon of water.
For the company to create an 80% / 20% mix, the company must add 1.25 gallons to their current 10 gallon mixtures.Rate this question:
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- 14.
A mail carrier can deliver mail to 1,400 different homes in one day. In the city of Basetown, there are 52,800 residents. How many mail carriers must be hired to deliver mail to all of the destinations of Basetown each day?
- A.
21
- B.
30
- C.
38
- D.
44
Correct Answer
C. 38Explanation
Divide 52,000 by 1,400 to get 37.714. Round to the nearest whole number to get 38.Rate this question:
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Mar 21, 2022Quiz Edited by
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Jan 03, 2015Quiz Created by
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