ASVAB - Arithmetic Reasoning/Mathematics Knowledge Exam Questions and Answers

ASVAB - Arithmetic Reasoning/Mathematics Knowledge Exam Questions and Answers 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 - Ans:-(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. ©GRACEAMELIA 2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED FIRST PUBLISH OCTOBER 2024 Page 2/81 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 - Ans:-(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. ©GRACEAMELIA 2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED FIRST PUBLISH OCTOBER 2024 Page 3/81 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 (b) 2 1/3 (c) 2 1/2 (d) 5 1/4 - Ans:-(b) 2 1/3 ©GRACEAMELIA 2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED FIRST PUBLISH OCTOBER 2024 Page 4/81 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: ©GRACEAMELIA 2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED FIRST PUBLISH OCTOBER 2024 Page 5/81 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 - Ans:-(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. ©GRACEAMELIA 2024/2025 ACADEMIC YEAR. ALL RIGHTS RESERVED FIRST PUBLISH OCTOBER 2024 Page 6/81 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 - Ans:-(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 $11.2