Asvab - Arithmetic Reasoning/Mathematics Knowledge Test 2024 with Complete Solution.

Asvab - Arithmetic Reasoning/Mathematics Knowledge Test 2024 with Complete Solution. John bought a camera on sale that normally costs $160. If the price was reduced 20% during the sale, what was the sale price of the camera? (a) $120 (b) $124 (c) $128 (d) $140 (c) $128 This question asks you to determine the sale price of a camera that normally sells at $160 and is discounted 20%. To solve, determine what 20% of $160 equals. Rewrite 20% as a decimal. 20% = 0.20. So 20% of $160 = 0.20 x $160 = $32. The sale price of the camera would be $160 - $32 = $128, choice (c) A subway car passes 3 stations every 10 minutes. At this rate, how many stations will it pass in one hour? (a) 15 (b) 18 (c) 20 (d) 30 (b) 18 First, set up the rate as a proportion, where (x) is the number of stations. 3 stations/10 minutes = (x) stations/1 hour Then, convert the units. 3 stations/10 minutes = (x) stations/60 minutes Cross multiply and solve for (x). 180 = 10(x) 18 = (x) On a certain map, 3/4 inch represents one mile. What distance, in miles, is presented by 1 3/4 inches? (a) 1 1/2 Asvab - Arithmetic Reasoning/Mathematics Knowledge Test 2024 with Complete Solution. (b) 2 1/3 (c) 2 1/2 (d) 5 1/4 (b) 2 1/3 In this question, the ratio is implied: for every 3/4 inch of map there is 1 real mile, so the ratio of inches to the miles they represent is always 3/4 to 1. Therefore, you can set up the proportion: number of inches/ number of miles = 3/4 / 1 = 3/4 Now 1 3/4 inches = 7/4 inches. Set up a proportion: 7/4 inches 7/4 inches / number of miles = 3/4 Cross-multiply: 7/4(4) = 3 (number of miles) 7= 3(number of miles) 7/3 = number of miles or 2 1/3 = number of miles A certain box contains baseballs and golf balls. If the ratio of baseballs to golf balls is 2:3 and there are 30 baseballs in the box, how many golf balls are in the box? (a) 18 (b) 20 (c) 36 (d) 45 (d) 45 You can express the ratio of baseballs to golf balls as 2/3. Since you know the number of baseballs, you can set up a proportion: 2/3 = 30/ (x) where (x) is the number of golf balls. To solve, cross-multiply to get 2(x) = 90, or x = 45. Four people shared a taxi to the airport. The fare was $36.00, and they gave the driver a tip equal to 25% of the fare. If they equally shared the cost of the fare and tip, how much did each person pay? (a) $9.75 (b) $10.25 (c) $10.75 (d) $11.25 (d) $11.25 The total cost of the taxi ride equals $36 + (25% of $36), or $36 + (.25 x $36) = $36 + $9 = $45. If four people split the cost equally, then each person paid $45/4, or $11.25 each. If a car travels 1/100 of a kilometer each second, how many kilometers does it travel in an hour? (a) 36 (b) 60 (c) 72 (d) 100 (a) 36 Find the number of seconds in an hour and then multiply this by the distance the car is traveling each second. There are 60 seconds in a minute and 60 minute in one hour; therefore, there are 60 x 60, or 3,600, seconds in an hour. In one second the car travels 1/100 kilometers; in one hour the car will travel 3,600 x 1/100 or 36 kilometers. 20 - (-5) = __. (a) -25 (b) 25 (c) 15 (d) -15 (b) 25 Subtracting a negative number is the same as addition, so 20 - (-5) is really 20 + 5 = 25. Ms. Smith drove a total of 700 miles on a business trip. If her car averaged 35 miles per gallon of gasoline and gasoline cost $1.25 per gallon, what was the cost in dollars of the gasoline for the trip? (a) $20.00 (b) $ 24.00 (c) $ 25.00 (d) $40.00 (c) $25.00 .