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ASVAB: ARITHMETIC REASONING FORMULAS AND
EXAMPLES
Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -63 Questions and Answers
-Format: Multiple-choice / Flashcard
Question 1: Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case. How much money did Miriam save on her entire purchase?(a) $7.50 (b) $1.50 (c) $8.00 (d) $22.50
Answer:
- Subtract the sale price from the original price, $24.00 - $22.50 = $1.50. Now multiply that number by
the amount of cases to get the final answer $1.50 × 5 = $7.50 Question 2: A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn't run into any thieves?(a) 20.00 minutes (b) 3.75 minutes (c) 22.50 minutes (d) 7.5 minutes
Answer:
- Divide 30 by 8 to determine how long it takes to walk one city block = 3.75 minutes. Then multiply by
- the number it takes to complete the circuit. The answer is 22.5 minutes.
Question 3: what is a proportion?
Answer:
Equation stating that 2 ratios are equal in value. (Ratios are equal if they can become equal fractions) ex)a/b = c/d.
Question 4: Reduce fractions
Answer:
cancel all factors that the numerator and denominator have in common Question 5: Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now?(a) $0.57 (b) $8.90 (c) $8.72 (d) $13.85
Answer:
C.To calculate the new wage first multiply $8.15 × 0.07 = $0.57. Then add that to the original wage,
$8.15 + $0.57 = $8.72
Question 6: Jenny's test grades are 93,89, 96, and 98. If she wishes to raise her average to 95, what does she need to score on her next test?(a) 100 (b) 99 (c) 97 (d) 95
Answer:
- x = the unknown score. (93 + 89 + 96 + 98 + x) ÷ 5 or (376 + x) ÷
- Now solve for x
Question 7: How many feet are in a yard
Answer:
- feet
Question 8: Volume =
Answer:
Length x Width x Height
Question 9: The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?(a) 31 (b) 33 (c) 35 (d) 36
Answer:
- x + x + 8 = 70, solve for x.
x = 31
Question 10: Round 123,756 to the nearest thousand
Answer:
124,000
Question 11: A waitress earns an average of 12% of the cost of the food she serves. If she serves $375 worth of food in one evening, how much money in tips will she earn on average?(a) $37 (b) $45 (c) $42 (d) $420
Answer:
- Multiply the amount spent on drinks, $375, by 12% (or 0.12) to determine the amount of tips:
$375 × 0.12 = $45
Question 12: The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted. The town originally predicted the city;s population to grow by (a) 400,000 (b) 500,000 (c) 300,000 (d) 100,000
Answer:
- Let x = the original number predicted. An ¹/? would make the population growth ?/? or 120%, of x.
Express the equation as 1.2x = 600,000, solve for x. x = 500,000.
Question 13: what is a ratio?
Answer:
A comparison of one number to another that is represented by a fraction
Question 14: what is the formula for finding the area of a circle?
Answer:
A= Pie(3.14)radius squared Question 15: MIchael needs 55 gallons if paint to paint an apartment building. He would like to purchase the paint for the least amount money possible. Which of the following should he buy?(a) two 25-gallon buckets at $550 each (b) eleven 5-gallon buckets at $108 each (c) six at 10-gallon buckets at $215 each (d) fifty-five 1-gallon bucket at $23 each
Answer:
- Choice (a) doesn't have enough paint (2 ×25 gal = 50 gal) so it's wrong.
Choice (b): 11 × $108 = $1,188
Choice (c): 6 × $215 = $1,290
Choice (d): 55 × $23 = $1265
Question 16: common multiple
Answer:
multiply them together
Question 17: How many ounces in one pound
Answer:
16 ounces Question 18: A 2-ton truck is taxed at a rate of $0.12 per pound. How much is the total tax bill?(a) $480 (b) $240 (c) $120 (d) $600
Answer:
- 2,000 pounds to a ton. 4,000 × .12 = 480
Question 19: Stan bought a monster truck for a $2,000 down payment and $450 a month for five years. What's the total cost of the monster truck?(a) $4,250 (b) $29,000 (c) $27,000 (d) $34,000
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