ASVAB - ARITHMETIC REASONINGMATHEMATICS

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ASVAB - ARITHMETIC REASONING/MATHEMATICS

KNOWLEDGE EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -100 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: 4! = __.

(a) 4 (b) 16 (c) 24 (d) 256

Answer:

(c) 24 The exclamation mark indicates a factorial. A factorial is an integer multiplied by every smaller integer,

down to the number 1, like this:

4! = 4 x 3 x 2 x 1 = 24 Question 2: Your car uses gasoline at a rate of 21 miles per gallon. If gasoline costs $2.82 per gallon and you drive for 7 hours at a speed of 48 miles per hour, how much will you pay for gasoline for the trip?(a) $38.18 (b) $45.12 (c) $47.73 (d) $59.27

Answer:

B) $45.12

First determine the miles traveled d = st (7hr × 48mph = 336 miles), then divide by the rate per gallon,

• So now you know you need 16 gallons at $2.82 per gallon to pay for the trip. 16 × $2.82 = $45.12

Question 3: What is this?

3.14(r^2)h

Answer:

Cylinder Volume

Question 4: Express 403,000,000,000,000 in scientific notation.

Answer:

4.03 x 10^14

Question 5: The ratio of 6 and some number?

Answer:

• / x

Question 6: What is this?

A = 3.14(r)^2

Answer:

Circle Area Question 7: 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:

• 22.50 minutes

Divide 30 by 8 to determine how long it takes to walk one city block = 3.75 minutes. Then, multiply by 6, the number it takes to complete the circuit.Question 8: 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:

• 99

x = the unknown score. (93 + 89 + 96 + 98 + x) / 5 or (376 + x) /

• Now solve for x.

x= 99 Question 9: What would an unknown number divided by 5 or the ratio of the unknown number and 5 look like?

Answer:

x / 5 Question 10: A sales manager buys antacid in bottles the gross. If he goes through 3 bottles antacid everyday, how long will the gross last?(a) 144 days (b) 3 days (c) 20 days (d) 48 days

Answer:

• 144 days

144 bottles in a gross, and 144 / 3 (bottles per day) = 48 days Question 11: Jack loaned Bob $1,500 at an annual interest rate of 7%. After one year, how much will Bob owe Jack?(a) $105 (b) $1,500 (c) $1,605 (d) $1,507

Answer:

C) $1,605

First find interest then add to the loan. $1,500 × 0.07 = 106, $106 + $1,500 = 1,605

Question 12: Evaluate 2x^2 + 4y + 5, if x = 2 and y = 3

Answer:

25

2 (2)^2 + 4 (3) + 5

2 (4) + 12 + 5

8 + 12 + 5

= 25

Question 13: Solve for x: If the scale on a road map is 1 inch = 250 miles, how many inches would represent 1,250 miles?

Answer:

x = 5, 5 inches = 1,250 miles.

• inch = 250 miles, x = 1250 miles.

The problem can be expressed as two ratios set equal to each other, known as proportion: 1/250 = x/1250 Question 14: 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:

A) $480

2,000 pounds to a ton. 4,000 × .12 = 480

Question 15: 20 - (-5) = __.

(a) -25 (b) 25 (c) 15 (d) -15

Answer:

(b) 25 Subtracting a negative number is the same as addition, so 20 - (-5) is really 20 + 5 = 25.Question 16: Difference also means:

Answer:

Subtraction Question 17: Joan can shovel a certain driveway in 50 minutes. If Mary can shovel the same driveway in 20 minutes, how long will it take them, to the nearest minute, to shovel the driveway if they work together?(a) 12 (b) 13 (c) 14 (d) 15

Answer:

(c) 14 This is a combined work problem. Joan can shovel the whole driveway in 50 minutes, so each minute