ASVAB: ARITHMETIC REASONING QUESTIONS, THIS ONE

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ASVAB: ARITHMETIC REASONING QUESTIONS, *THIS ONE*

ASVAB 2020 ARITHMETIC REASONING EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -93 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: If ab = 10 and a² + b² = 30, solve for y in the equation y = (a+b)².(a) 40 (b) 45 (c) 50 (d) 55

Answer:

• First expand the equation (a+b)² or (a+b)(a=b) into y = a² + b² +2ab. You already know ab = 10 and

a² + b² = 30, so substitute the known values and solve for y. 30 + 2(10) = 50 Question 2: If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the tow cost?(a) $12.00 (b) $3.50 (c) $42.00 (d) $100.00

Answer:

C. Multiply 12 miles by $3.50 per mile:

12 × $3.50 = $42.00

Question 3: If Kevin eats 3 pancakes in one minute, you know he eats 3(10) = 30 in 10 minutes. If Kara eats 3 ½ per minute, she eats 3.5(10) = 35 in 10 minutes. Add 30 + 35 = 65 and you have your answer.

Answer:

The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?(a) 31 (b) 33 (c) 35 (d) 36

Question 4: How to solve precent increase and decrease word problems

Answer:

How to solve probability problems Question 5: For all integers x, which of the following must be true about 4x + 4

• must be even
• must be odd
• must be a multiple of 3
• must be a multiple of 5

Answer:

• Since x is an integer, multiplying an integer by 4 will result in an even integer. So 4x must be even.

Adding 4 to an even value must result in an even number. Therefore 4x + 4 must be even.

Question 6: how to SUBTRACT decimals

Answer:

• line up the decimals

• fill in spaces with zeroes (0)

• bring decimal STRAIGHT DOWN

• Subtract using correct place value

Question 7: is

= of x (multiply) a number n (variable) what percent n (variable) what number n (variable)

Answer:

What number is 15% of 63?Question 8: 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:

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

Question 9: what percent of 42 is 21?

Answer:

25 is 40% of what number?Question 10: Since the problem states how long it takes each person to wash the car, the units of which are Hours/Car , take the reciprocal of the times to get the rates in terms of cars/hour and add them together to

the combined rate:

1/2 + 1/4 = 2 (Cars) / x (time) 2/4 + 1/4 = 3/4 cars/hour working together.invert that combined rate to determine that they can wash 1 car in 4/3 hour . however, the question asks how long it will take to wash two cars, so that would be 8/3 = 2 2/3 hours

Answer:

How to solve Work problems such as:

Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

Question 11: Solve for the following equation:

(8 + 2 - 3)(7-9)²

• 28

B. -28

• 32

D. -32

Answer:

PEMDAS

8 + 2 - 3 = 7

7 - 9 = -2

(7)(-2)²

SOLVE EXPONENT NEXT

(-2)²= 4

(7)(4) = 28

Question 12: In the past year, XYZ corporation reported sales of $1.17 of 10^6. The year before, the company's sales were $9.00 x 10^5. What was the percentage change in sales?

• 30% decrease
• 27% increase
• 27% decrease
• 30% increase

Answer:

must make the same base to subtract Question 13: Chad's recipe for chocolate chip cookies makes 24 servings of 375 calories each.Chad decided to make 150% of the amount in the recipe rather than the usual 100%.Approximately how many calories are in Chad's batch of cookies?

Answer:

First, find out how many total calories are in 100% of the recipe: 24(375) = 9,000 calories To find how many calories are in 150% of the recipe, use this equation: x = 9,000 (1.50) x = 13,500