ASVAB Arithmetic |QUESTIONS &
ANSWERS| ALREADY PASSED|
VERIFIED & UPDATED
1.
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=7
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 5/8
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. 70/64
, B. 37/30
C. 1/3
D. 16/3
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.1
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?
ANSWERS| ALREADY PASSED|
VERIFIED & UPDATED
1.
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=7
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 5/8
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. 70/64
, B. 37/30
C. 1/3
D. 16/3
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.1
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?
