ASVAB: Arithmetic Reasoning Test 1 questions & answers all correct.

ASVAB: Arithmetic Reasoning Test 1 questions & answers all correct. Arithmetic Reasoning Section: ASVAB Practice Test 1 • A. 144 days • B. 3 days • C. 20 days • D. 48 days 144 bottles are in a gross. 144 ÷ 3 (bottles per day) = 48 days. 4: 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 To determine Jenny’s average, add the test scores and divide the sum by the number of tests taken. You want to know what she would need to make on the next test in order to achieve an average of 95, so let x equal the unknown score. Set up the equation as (93 + 89 + 96 + 98 + x) ÷ 5 = 95. Combine the like terms: (376 + x) ÷ 5 = 95. Multiplying both sides by 5 results in 376 + x = 475, so, x = 99. 5: A waitress earns an average tip 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 Multiply the total amount spent on drinks, $375, by 12% (or 0.12) to determine the amount of tips: $375 × 0.12 = $45. 6: How many square feet of carpeting are needed to carpet a 12­foot × 12­foot room? • A. 24 • B. 120 • C. 48 • D. 144 Square footage is determined by multiplying length by width: 12 × 12 = 144. 7: Carpet stain protector costs $0.65 per square yard to apply. How much will it cost to apply the protectant to a 16­foot × 18­foot carpet? • A. $187.20 • B. $62.40 • C. $20.80 • D. $96.00 First determine the number of square feet of carpet you want to protect: 16 ft. × 18 ft. = 288 ft.2 The carpet stain protector is priced by the square yard, so divide 288 by 9 to convert square feet to square yards (because 1 yd.2 = 3 ft. × 3 ft. = 9 ft.2): 288 ft.2 ÷ 9 ft.2/yd. = 32 yd.2 Multiply the number of square yards by the cost of protection per square yard, $0.65, to get the correct answer: 32 yd.2 × $0.65/yd.2 = $20.80 8: A printing plant that produces baseball cards has a monthly overhead of $6,000. It costs 18 cents to print each card, and the cards sell for 30 cents each. How many cards must the printing plant sell each month in order to make a profit? • A. 30,000 • B. 40,000 • C. 50,000 • D. 60,000 Let x equal the number of cards printed and sold each month. Each card costs $0.18 to print and sells for $0.30. Therefore, the cost is equal to 6,000 + 0.18x, and revenue is equal to 0.30x. You’re looking for the point where revenue is greater than the cost (revenue cost). The inequality is 0.30x 6,000 + 0.18x. Now solve for x. Subtract 0.18x from both sides of the inequality and then divide both sides by 0.12: 0.12x 6,000 x 50,000 The printing plant would have to print and sell at least 50,000 cards per month to make a profit. 9: 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 Joe gets a 7% raise. To calculate the new wage, start off by multiplying $8.15 × 0.07 = $0.57. Then add that number (the amount of Joe’s raise) to his original hourly wage. Joe’s new hourly wage is $8.15 + $0.57 = $8.72. 10: Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later, her husband Dave notices she forgot her cell phone and sets off after her. How fast must Dave travel in order to catch up with Alice 3 hours after he leaves? • A. 49 mph • B. 50.5 mph • C. 52.5 mph