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ASVAB ARITHMETIC REASONING 30 QUESTIONS IN 39

Exam (elaborations) Feb 17, 2026
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ASVAB ARITHMETIC REASONING (30 QUESTIONS IN 39

MINUTES) EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -30 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: a 600 mile trip could be driven by a motorist in 10 hours with an average speed of 60 mph. on the presumption that this motorist wanted to make the same trip in 8 hours, how much faster would he/she have to drive?

Answer:

8(60+x)=600 480+8x=600 8x=120 x=15 mph Question 2: according to the directions on a bottle of liquid fertilizer, it is supposed to be mixed in water at the rate of 3 tablespoons per gallon before applying to a garden. how many tablespoons of fertilizer would be required for 20 gallons of water?

Answer:

60 tablespoons

Question 3: 6.75 + 8.372 X 3.14= x. what does x equal?

Answer:

8.372 X 3.14= 26.29

26.29 + 6.75= 33.04

x=33.04

Question 4: Mikayla's car gets 22 miles per gallon of gas used. gas costs $3.89 per gallon, and her tank is empty. if she needs to drive to her grandmother's house 350 miles away, how much will the gas to get there cost her?

Answer:

350/22= 15.91

15.91 X 3.89 = 61.85

Question 5: if 9 1/4 + 18 1/2 + 201/4=x, what does x equal?

Answer:

9+18+20= 47

1/4 + 1/2 + 1/4 > 1/4 +2/4+1/4=1

47+1= 48

Question 6: 8 3/4 divided by 2 1/2=x. what does x equal?

Answer:

8 3/4= 35/4

2 1/2= 5/2

35/4 X 2/5= 7/2= 3 1/2

x= 3 1/2 Question 7: if a screw has a pitch that requires it to be turned 30 times to advance it two inches, what ratio correctly reflects the relationship?

Answer:

30/2= 15:1

Question 8: military recruit Morris was working out to get into shape for enlistment. the exercise regimen included sit-ups, pull-ups, and push-ups. if he can currently do 58 push-ups, which is 7 more than three times the number of push-ups he did when he started the program, how many push-ups could he do originally?

Answer:

3x + 7= 58 3x=51 x=17 push ups Question 9: if anna invests $1,000 in an investment that returns an annual rate of 4.5% interest, what will her investment be worth in 12 months?

Answer:

interest= principal X rate X time I= 1,000 X .045 X 1 (1 year =12 months)

I=$45

1,000+45= $1,045

Question 10: a water tank has a maximum capacity of 600 cubic meters. however, internal corrosion is responsible for significant leakage. it is assessed that a constant half-cubic meter of water leaks every minute. if a 3 inch water line can recharge the tank at the rate of 12 cubic meters per minute, how much time would be required to fill the tank to its capacity?

Answer:

600/12=50

1/2 (600)=1200 minutes

1/50 - 1/2000 (CMD= 1200)

24/1200 -1/1200=23/1200

23/1200 = 52.17

Question 11: if a township is a square section of territory and one side is known to be 6 miles in length, how many square miles would the township occupy?

Answer:

  • squared= 36 square miles
  • Question 12: a taxi was dispatched from the yard to the train station at 9:30am and traveled 45 mph along state highway 101. at 11am, a hired van was dispatched from the same location and traveled the same route, averaging 60 mph. at what time would the van catch up to the taxi?

Answer:

45mph=45x

9:30 -> 11= 1.5 hours

60(x-1.5)= 60x-90 60x-90=45x 15x=90 x=6

  • hours past 11am = 5pm
  • Question 13: a rectangular garden plot has a perimeter of 14 meters. if the width is 2.5 meters, then how long is it?

Answer:

two sides of width = 2.5 + 2.5= 5 meters 14m - 5m= 9m

two sides of length: 9/2 = 4.5 meters

Question 14: the number 13 is 75% of what number?

Answer:

75/100=13/x 1300=75x x=17.33 Question 15: last year, 15 workers received 5% merit raise. this year, 18 workers received the merit raise. what is the percentage change in the number of workers receiving raises this year versus last year?

Answer:

18/15 = 1.2

(1.2) X 100= 120

120-100= 20%

Question 16: 9X5.2 divided by 18.76=x. what does x equal?

Answer:

when multiplication and division are together, start from left and move to the right:

9 X 5.2= 46.8

46.8/18.76 = 2.49

x=2.49

Question 17: what is the prime factorization of 18?

Answer:

3 X 3 X2

Question 18: what is the area of a rectangle if its dimensions are 6 ft long by 4 ft wide?

Answer:

6X4= 24 feet

Question 19: givem 17 3/4 -8 1/4=x, what does x equal?

Answer:

x=9 1/2 Question 20: it takes fred 3 hours to prep 125 sandwhiches at the sandwhich shop. when john performs the same task, however it takes him an extra hour. if both of these individuals were assigned to do the job together, how long would it take both of them to produce 125 sandwhiches?

Answer:

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