Can You The Solve The Following Arithmetic Reasoning Asvab Problems Quiz

1. At Joe'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?

1/6

1/20 1/4 and 1/5 = 1/20

1/10

1/16

To find the proportion of patrons who are both male and from out of town, you multiply the fractions representing both groups (1/4 * 1/5) to get 1/20.

Explanation

To find the proportion of patrons who are both male and from out of town, you multiply the fractions representing both groups (1/4 * 1/5) to get 1/20.

2. There are 112 male and 78 females working at a hospital. What percentage of the hospital's workforce is female?

54%

26%

41% Add the number of men and women to get the total number: 190. The number of women, 78, so divide 78 into 190 to get .4105.

37%

To calculate the percentage of females in the workforce, divide the number of females by the total workforce and multiply by 100. In this case, 78 divided by 190 equals 0.4105, which is equivalent to 41%.

Explanation

To calculate the percentage of females in the workforce, divide the number of females by the total workforce and multiply by 100. In this case, 78 divided by 190 equals 0.4105, which is equivalent to 41%.

3. What is the estimated product when 620 and 374 are rounded to the nearest hundred and multiplied?

230,000

220,000

240,000600*400=240,000

250,000

When 620 is rounded to the nearest hundred, it becomes 600. When 374 is rounded to the nearest hundred, it becomes 400. Multiplying 600 by 400 gives us the estimated product of 240,000.

Explanation

When 620 is rounded to the nearest hundred, it becomes 600. When 374 is rounded to the nearest hundred, it becomes 400. Multiplying 600 by 400 gives us the estimated product of 240,000.

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 4 hours after injury, roughly, what chance of survival will the patient have?

72%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% of the 85% he had at the end of three hours: 0.85 * 0.85 = 72.25% chance of survival.

50%

60%

80%

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% of the 85% he had at the end of three hours: 0.85 * 0.85 = 72.25% chance of survival.

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% of the 85% he had at the end of three hours: 0.85 * 0.85 = 72.25% chance of survival.

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?

41

32 Substituting 95 for F in the equation yields C = (95 - 32) = 63 / 1.8 = 35 degrees C

20

50

To convert Fahrenheit to Celsius, you use the formula C = (F-32) / 1.8. Substituting 95 for F in the equation yields C = (95 - 32) = 63 / 1.8 = 35 degrees C.

Explanation

To convert Fahrenheit to Celsius, you use the formula C = (F-32) / 1.8. Substituting 95 for F in the equation yields C = (95 - 32) = 63 / 1.8 = 35 degrees C.

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 the class?

76.8

72.5

76.3These are 74, 87, 68, and 76 . To find the average, add the 4 numbers and divide the sum by 4.

78.2

The correct answer is obtained by adding the four highest grades and dividing the sum by 4.

Explanation

The correct answer is obtained by adding the four highest grades and dividing the sum by 4.

7. What is the result of 21/4 + 63/8?

44/8

49/12

57/8

Convert the 1/4 to 2/8 and then add 2/8 to 3/8 to get 5/8.

Finally add 6 + 2 and you have 85/8

To add 21/4 + 63/8, convert 1/4 to 2/8 and then add 2/8 to 3/8 to get 5/8. Finally, add 6 + 2 to get 85/8.

Explanation

To add 21/4 + 63/8, convert 1/4 to 2/8 and then add 2/8 to 3/8 to get 5/8. Finally, add 6 + 2 to get 85/8.

8. A world map has a scale of 1/4 of an inch equals 250 miles. You measure the distance between New York, NY and Los Angeles, California and it equals 3 inches. What is the real distance between New York and LA?

1,200 miles

3,000 miles

750 miles

4,500 miles

The scale of 1/4 inch equals 250 miles. If the distance on the map is 3 inches, the real distance between New York and Los Angeles can be calculated by multiplying 3 inches by 250 miles per inch, resulting in a real distance of 3,000 miles.

Explanation

The scale of 1/4 inch equals 250 miles. If the distance on the map is 3 inches, the real distance between New York and Los Angeles can be calculated by multiplying 3 inches by 250 miles per inch, resulting in a real distance of 3,000 miles.

9. Of 1,000 dogs, 72% are male. Among the males, 3 out of 5 were over the age 5. How many of the dogs were males age 5 or older?

528

252

360

432 First multiply 1000 * .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 * 3/5 (or .6) which results in 432.

First multiply 1000 * 0.72 to find out how many dogs are male (720). Then, you need to calculate how many of the male dogs are over the age of 5 which is 3/5 of 720, resulting in 432.

Explanation

First multiply 1000 * 0.72 to find out how many dogs are male (720). Then, you need to calculate how many of the male dogs are over the age of 5 which is 3/5 of 720, resulting in 432.

10. There are 78 female and 54 male patrons at a local diner. What percentage of the diner's patrons are female?

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%

70%

36%

45%

To find the percentage of female patrons, divide the number of females (78) by the total number of patrons (78+54=132). This gives 78/132 = .5909 = 59%.

Explanation

To find the percentage of female patrons, divide the number of females (78) by the total number of patrons (78+54=132). This gives 78/132 = .5909 = 59%.

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?

3%

15%

5%A simple way to solve this is to multiply the two percentages. Therefore, multiply .50 * .10 and you get .05 or 5%.

0.5%

To find the percentage of all cancer patients that this new drug will work on, multiply the success rate of the treatment (50% or 0.50) by the percentage of lung tumor patients (10% or 0.10) to get 5% or 0.05.

Explanation

To find the percentage of all cancer patients that this new drug will work on, multiply the success rate of the treatment (50% or 0.50) by the percentage of lung tumor patients (10% or 0.10) to get 5% or 0.05.

12. A person who has a heart attack can be saved 90% of the time if 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?

22%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 *.4 and know that only 36% of the people have this opportunity.

However, we also know that of the 36% of suffers, only 60% of the time is a defibrillator used. Therefore we must take .6 * .36 to find out how many patients are saved by the use of a defibrillator. This results in .216 or 22% of patients are saved by the use of a defibrillator.

42%

30%

15%

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 *.4 and know that only 36% of the people have this opportunity. However, we also know that of the 36% of suffers, only 60% of the time is a defibrillator used. Therefore we must take .6 * .36 to find out how many patients are saved by the use of a defibrillator. This results in .216 or 22% of patients are saved by the use of a defibrillator.

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 *.4 and know that only 36% of the people have this opportunity. However, we also know that of the 36% of suffers, only 60% of the time is a defibrillator used. Therefore we must take .6 * .36 to find out how many patients are saved by the use of a defibrillator. This results in .216 or 22% of patients are saved by the use of a defibrillator.

13. A paint company mixes its paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 10% water. How much water must they add to create an 80/20 mix of paint to water?

2 gallons

1 gallon

0.75 gallons

1.25 gallonsCurrently 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. This will create 2.25 gallons of water for every 11.25 total gallons. This results in a 2.25/11.25 or 20% water mix.

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. This will create 2.25 gallons of water for every 11.25 total gallons. This results in a 2.25/11.25 or 20% water mix.

Explanation

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. This will create 2.25 gallons of water for every 11.25 total gallons. This results in a 2.25/11.25 or 20% water mix.

14. A mail carrier can deliver mail to 1,400 different homes in one day. In the city of Utopia, there are 52,800 residents. How many mail carriers must be hired to deliver mail to all of the residents of Utopia each day?

40

36

42

38 To find the number of required mail carriers, simply divide 52,800 by 1,400 to get 37.714. Therefore you must round up and you have 38 mail carriers.