Quantitative Reasoning Exams (Latest 2024/ 2025
Updates STUDY BUNDLE PACKAGE WITH SOLUTIONS)
Questions and Verified Answers| 100% Correct| Grade
A
distinct - ANSWERdifferent from each other.
12 has three prime factors (2, 2, 3), but only two distinct factors (2 and 3)
prime factors - ANSWERHELPpenis
integer - ANSWERa number without fractional or decimal parts.
includes zero
includes positive and negative numbers
PEMDAS - ANSWERrules of operation.
P(parenthesis)
E(exponents)
M(multiplication)
D(division)
A(addition)
S(subtraction)
Pleas Excuse My Dear Aunt Sally
addition and multiplication are both commutative - ANSWERswitching the order of
any two numbers being added or multiplied together does NOT affect the result
subtraction and division are NOT commutative - ANSWERswitching the order of the
numbers changes the result
absolute value
( IxI) - ANSWERvalue away from zero
IxI = 5
x can be 5 or -5
division of zero is undefined - ANSWER"it cant be done"
a multiple is the product of a specified number and an integer - ANSWERspecified
number= 3
3, 12, and 90 are all multiples of 3
3=(3)(1)
12=(3)(4)
90=(3)(30)
, multiples do not have to be integers, but ALL multiples must be a product of a
specified number and an integer - ANSWER2.4=(1.2)(2)
12=(1.2)(10)
132=(1.2)(110)
The concepts of multiples and factors are tied together by the idea of Divisibility -
ANSWERA number is said to be evenly divisable by another number if the result of
the division is an integer with no remainder
you will be asked whether a number is evenly divisable by another. use these rules -
ANSWER- an integer is divisible by 4 if its last two digits are a multiple of 4
- divisible by 5 if last digit is 0 or 5
- divisible by 6 if it is divisible by 2 and 3
- divisible by 9 if its digits add up to a multiple of 9
factors - ANSWERpositive integers by which it is evenly divisible(leaving no
remainder)
what are the factors of 36?
has 9 factors: 1,2,3,4,6,9,12,18,36
greatest common factor of a pair of integers - ANSWERlargest factor the pair of
integers share.
what is the greatest common factor of 36 and 48?
36=(2)(2)(3)(3)
48=(2)(2)(2)(2)(3)
they have a common two 2s and one 3
So the GCF is (2)(2)(3)= 12
prime number - ANSWERinteger greater than one that has only 2 factors, itself and
one.
the number 1 is not considered a prime number because it is divisible only by itself
The number 2 is the only even prime number and the smallest
prime numbers
from beginning - ANSWER2, 3, 5, 7, 11, 13, 17, 19, 23, 29
prime factors
(prime factorization) - ANSWERexpression of the number as the product of its prime
factors.
work your way up through the prime numbers, starting with 2.
what is the prime factorization of 210? - ANSWER210=(2)(105)
210=(2)(3)(35)
210=(2)(3)(5)(7)
Updates STUDY BUNDLE PACKAGE WITH SOLUTIONS)
Questions and Verified Answers| 100% Correct| Grade
A
distinct - ANSWERdifferent from each other.
12 has three prime factors (2, 2, 3), but only two distinct factors (2 and 3)
prime factors - ANSWERHELPpenis
integer - ANSWERa number without fractional or decimal parts.
includes zero
includes positive and negative numbers
PEMDAS - ANSWERrules of operation.
P(parenthesis)
E(exponents)
M(multiplication)
D(division)
A(addition)
S(subtraction)
Pleas Excuse My Dear Aunt Sally
addition and multiplication are both commutative - ANSWERswitching the order of
any two numbers being added or multiplied together does NOT affect the result
subtraction and division are NOT commutative - ANSWERswitching the order of the
numbers changes the result
absolute value
( IxI) - ANSWERvalue away from zero
IxI = 5
x can be 5 or -5
division of zero is undefined - ANSWER"it cant be done"
a multiple is the product of a specified number and an integer - ANSWERspecified
number= 3
3, 12, and 90 are all multiples of 3
3=(3)(1)
12=(3)(4)
90=(3)(30)
, multiples do not have to be integers, but ALL multiples must be a product of a
specified number and an integer - ANSWER2.4=(1.2)(2)
12=(1.2)(10)
132=(1.2)(110)
The concepts of multiples and factors are tied together by the idea of Divisibility -
ANSWERA number is said to be evenly divisable by another number if the result of
the division is an integer with no remainder
you will be asked whether a number is evenly divisable by another. use these rules -
ANSWER- an integer is divisible by 4 if its last two digits are a multiple of 4
- divisible by 5 if last digit is 0 or 5
- divisible by 6 if it is divisible by 2 and 3
- divisible by 9 if its digits add up to a multiple of 9
factors - ANSWERpositive integers by which it is evenly divisible(leaving no
remainder)
what are the factors of 36?
has 9 factors: 1,2,3,4,6,9,12,18,36
greatest common factor of a pair of integers - ANSWERlargest factor the pair of
integers share.
what is the greatest common factor of 36 and 48?
36=(2)(2)(3)(3)
48=(2)(2)(2)(2)(3)
they have a common two 2s and one 3
So the GCF is (2)(2)(3)= 12
prime number - ANSWERinteger greater than one that has only 2 factors, itself and
one.
the number 1 is not considered a prime number because it is divisible only by itself
The number 2 is the only even prime number and the smallest
prime numbers
from beginning - ANSWER2, 3, 5, 7, 11, 13, 17, 19, 23, 29
prime factors
(prime factorization) - ANSWERexpression of the number as the product of its prime
factors.
work your way up through the prime numbers, starting with 2.
what is the prime factorization of 210? - ANSWER210=(2)(105)
210=(2)(3)(35)
210=(2)(3)(5)(7)
