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ASVAB Arithmetic Reasoning (2025)
Exam With Detailed & Verifeid |
Questions and Answers | 100% Solved
|Graded A+
If x, y, and z are integers with x≤y and y>z, which of the following could x, y, and z represent (respectively)?
A ‾3, ‾2, ‾ 3 B. 3, 2, 3 C. 1, 2, 3 D. 3, 2, 1
Answer: A-x=‾3, y=‾2, z=‾3.‾ 3 is less than or equal to ‾2, and‾ 2 is greater than ‾ 3 2: The number ½ is a. A. Whole number B. Rational number C. Decimal D. Percentage Answer: B - ½ is a rational number. A fraction is a rational number in regards to a/b if a and b are both positive integers and b is not equal to 0. Whole numbers, mixed numbers, and decimals are also rational numbers.
3 :Which of the following uses the doubling method of informal counting to solve the
following:3+4= A. (1+1+1) + (1+1+1+1) = 7 B. (3+4) + (3+4) - (3+4) = 7 C. 3+4 = (3+3) +1 = 6+1 = 7 D. 2+2+2+1= Answer: C - The doubling method would be 3 + 4 = (3 + 3) +1 = 6 + 1 = 7. Using the doubling method of informal counting involves taking apart a number so that it is the same number as the one being added to it and then adding the difference. It is a way to do mental math easily in one’s head.
4 :Solve the following equation: 1 3/8 ÷ 2/3 =
A. 1/3 B. 1 1/3 C. 33/16 D. 1 5/
Answer: C - 1 3/8 ÷ 2/3 = 33/16. 1 3/8 is equal to 11/8. Multiply 11/8 by the reciprocal of 2/3 when dividing. By multiplying 11/8 by 3/2, you get 33/16.
5 :Solve the following equation:3/6 + 2/5 + 1/3 =
A. 70/
B. 37/
C. 1/
D. 16/
Answer: B - 3/6 + 2/5 + 1/3 = 37/30. By finding the least common denominator , you can add all 3 fractions. 6: What is the greatest common factor of 30 and 60? A. 30 B. 60 C. 90 D. 10 Answer: A-The greatest common factor of 30 and 60 is 30. Factors are numbers you multiply together to get another number. The shared factors of 30 and 60 are [1, 2, 3, 5, 6, 10, 15, 30], the largest of which is 30.
7 :Which of the following is a prime number?
A. 50
B. 25
C. 23
D. 6
Answer: C - 23 is a prime number. A prime number is a number that can only be divided by itself and by the number 1, without a remainder. 50, 25, and 6 can all be divided by numbers other than itself and 1. Even numbers greater than 2 are never prime.
8 :Which of the following is a composite number?
A. 14
B. 31
C. 7
D. 11
Answer: A - 14 is a composite number. A composite number is the opposite of a prime number. A composite number can be divided by more than just 1 and itself. 14 can be divided also by 7 and 2.
9 :Which of the following is NOT a prime factor of 204?
A. 5
Answer: C - The difference between the exact sum and the sum rounded to the nearest tenths place is .02. The exact sum is 83.88. The rounded sum is 83.9. To find the difference, you subtract.
13: Round 6148.11385 to the nearest thousandths place. What is the answer?
A. 6000
B. 6148
C. 6148.
D. 6148.
Answer: D- If you round 6148.11385 to the nearest thousandths place, the answer is 6148.114. In the given number, the 3 is in the thousandths place. The next number used to round it is an 8, which is greater than 5, so you would round the 3 up to 4.
14 : Sam is packingthedrinking glasses from his restaurant into boxes becausethe restaurant
is moving. He packs his glasses into boxes until each box is completely full and has an equal number of glasses in each. If after 10 minutes, one box contains 22 glasses, and it takes 2 hours to fill up a box, how many glasses must each box hold?
A. 164
B. 264
C. 462
D. 162
Answer: B - Each box must hold 264 glasses. Since an hour has 60 minutes and you know that after 10 minutes the box had 22 glasses, you would first divide 60 by 10: the answer is
- You would then multiply 22 by 6 to find out how many glasses were filled after the first hour: the answer is 132. Since there are 2 hours, you would double 132 to get 264.
15: Which property is the following equation an example of?2(3+4) = 2(3) + 2(4)
A. The distributive property B. The multiplicative inverse property C. Associative property D. Additive inverse property Answer: A-2(3+4) = 2(3) + 2(4) is an example of the distributive property. In this example, by splitting the numbers in parentheses and multiplying them by themselves, you still get the same answer as if they were left together in the parentheses.
16: Which property is the following equation an example of?9 x 1/9 = 9
A. The distributive property B. The multiplicative inverse property C. Associative property D. Additive inverse property Answer: B- 9 x 1/9 = 9 is an example of the multiplicative inverse property. The multiplicative inverse property involves multiplying a number by its reciprocal, or putting it into a fraction with 1 as the numerator. When you multiply it by its reciprocal, you get the original number.
17 : Simplify the following expression:4(4x - 8x + 5)
A. 16x + B. 16x - 20 C. 16x + 20 D. 16x - 20 Answer: C - 4(4x - 8x + 5) can be simplified as ‾16x + 20. You would multiply 4 by each of the numbers and then subtract 32 from 16 to get ‾16x. ‾16x - 20 cannot be simplified any further.
18 : Solve for y in the following equation:2(y + 4) - 4y = 12
A. y = 10 B. y = ‾ 10 C. y = 2 D. y = ‾ 2 Answer: D - For the equation, 2(y + 4) - 4y = 12, y = ‾2.
19: Olivia is writing a recipe for orange-colored fruit salad. She uses 4 apricots for every
cantaloupe, 2 peaches for every apricot, and one orange for every cantaloupe. If she uses 8 oranges, how many whole pieces of fruit total will be used for the fruit salad?
A. 212
B. 232
C. 112
D. 132
23: Nora is mailing a package that weighs 5.3 kg. How many grams does the package weigh? A. 53 g B. 530 g C. 5,300 g D. 53,000 g Answer: C- The package weighs 5,300 grams. You would move the decimal 3 places to the right since kilo means thousand.
