# ASVAB Arithmetic Reasoning Questions

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The study of mathematics will improve your reasoning ability. ASVAB Arithmetic Reasoning Questions are designed to test your knowledge of mathematics and teach you ways to apply the knowledge in life situations. It includes test on mathematical word problems that when focused on, you will be better prepared for mathematics as well as well as a whole.

• 1.

### For the first two minutes of calls, a phone company charges \$10 and \$5 afterwards. What is the cost of 3 minutes?

• A.

\$15

• B.

\$30

• C.

\$170

• D.

\$75

A. \$15
Explanation
The cost of the first two minutes is \$10, and for the third minute, it is \$5. Therefore, the total cost for 3 minutes is \$10 + \$5 = \$15.

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• 2.

### In a refrigerator, there are 4 eggs, 5 oranges and 3 apples. What is the probability of picking an apple or an egg?

• A.

12/35

• B.

7/12

• C.

4/12

• D.

3/7

B. 7/12
Explanation
The probability of picking an apple or an egg can be calculated by adding the number of apples and eggs, which is 4 + 3 = 7. Then, divide this sum by the total number of fruits in the refrigerator, which is 4 + 5 + 3 = 12. Therefore, the probability is 7/12.

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• 3.

### What is the percentage of tip if a meal cost \$97.25 and the tip is \$20.47?

• A.

15%

• B.

16%

• C.

25%

• D.

12%

D. 12%
Explanation
The percentage of tip can be calculated by dividing the tip amount by the total cost of the meal and then multiplying by 100. In this case, the tip amount is \$20.47 and the total cost of the meal is \$97.25. Dividing \$20.47 by \$97.25 gives approximately 0.2104. Multiplying 0.2104 by 100 gives approximately 21.04%. Therefore, the correct answer is 21%, not 12%.

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• 4.

### The length of ruler is 25 inches. What is the length of 3 and a half rulers of the ruler?

• A.

87.5 inches

• B.

90 inches

• C.

32.5 inches

• D.

12.06 inches

A. 87.5 inches
Explanation
To find the length of 3 and a half rulers, we need to multiply the length of one ruler by 3.5. Since the length of one ruler is given as 25 inches, multiplying it by 3.5 gives us 87.5 inches. Therefore, the length of 3 and a half rulers of the ruler is 87.5 inches.

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• 5.

### The cost of a small piece of cake is \$2.65. What would be left if three of such cakes were bought from \$20?

• A.

\$20.69

• B.

\$12.05

• C.

\$36.10

• D.

\$8.62

B. \$12.05
Explanation
If the cost of one small piece of cake is \$2.65, then the cost of three cakes would be 3 * \$2.65 = \$7.95. If \$7.95 is subtracted from \$20, the amount left would be \$20 - \$7.95 = \$12.05.

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• 6.

### Two years ago, you were 5, your brother was 2. What would be the sum of your ages in 10 years time?

• A.

31

• B.

27

• C.

25

• D.

32

A. 31
Explanation
In two years, you would be 7 and your brother would be 4. Adding 10 years to both ages, you would be 17 and your brother would be 14. The sum of your ages in 10 years time would be 17 + 14 = 31.

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• 7.

### To wet a whole football field, 930 litres of water are needed. How many litres of water will be needed to wet one third of the field twice?

• A.

310

• B.

620

• C.

300

• D.

320

B. 620
Explanation
To wet one third of the football field, 930/3 = 310 liters of water are needed. Since we need to wet one third of the field twice, the total amount of water needed is 310 + 310 = 620 liters. Therefore, the correct answer is 620 liters.

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• 8.

### A bowl contains 4 white spoons and 8 blue spoons. What is the probability of picking a white spoon?

• A.

4/8

• B.

1/3

• C.

6/12

• D.

3/8

B. 1/3
Explanation
The probability of picking a white spoon can be calculated by dividing the number of white spoons (4) by the total number of spoons (12). Therefore, the correct answer is 4/12, which simplifies to 1/3.

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• 9.

### A bag costs \$9.20, but the store now sells it for \$5.06. What is the percentage discount?

• A.

60%

• B.

50%

• C.

45%

• D.

40%

C. 45%
Explanation
The percentage discount can be calculated by finding the difference between the original price and the discounted price, and then dividing that difference by the original price. In this case, the difference between \$9.20 and \$5.06 is \$4.14. Dividing \$4.14 by \$9.20 and multiplying by 100 gives approximately 45%. Therefore, the percentage discount is 45%.

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• 10.

### . A boy worked for 40 hours per week and earned \$8.10 every hour. His father earned \$10.8 per hour. How many hours will his father work to earn the same amount the boy earned in 40 hours?

• A.

25

• B.

30

• C.

35

• D.

40

B. 30
Explanation
The boy earned \$8.10 per hour and worked for 40 hours, so his total earnings are 8.10 * 40 = \$324. The father earns \$10.8 per hour, so to earn the same amount as the boy in 40 hours, he needs to work for 324 / 10.8 = 30 hours. Therefore, the father will need to work 30 hours to earn the same amount the boy earned in 40 hours.

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• Sep 17, 2023
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• Oct 26, 2018
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