GRE Math

Question 0

least common multiple

Answer 0

The least common multiple of two nonzero integers a and b is the least positive integer that is a multiple
of both a and b. For example, the least common multiple of 30 and 75 is 150.

Question 1

Combinations

Answer 1

n!\k!(n-k)!

Question 2

greatest common divisor (or greatest common factor)

Answer 2

The greatest common divisor (or greatest common factor) of two nonzero integers a and b is the
greatest positive integer that is a divisor of both a and b. For example, the greatest common divisor of 30
and 75 is 15.

Question 3

the remainder of a/b

Answer 3

r = a - qb

Question 4

even integer

Answer 4

integer that is divisible by 2. This includes 0.

Question 5

odd integer

Answer 5

integer that is not divisible by 2. When a positive odd integer is divided by 2 the remainder is 1.

Question 6

prime number

Answer 6

integer greater than 1 that has only two positive divisors, 1 and itself. 2,3,5,7,11,13,17,19,23,29

Question 7

prime factorization

Answer 7

a number expressed as a product of factors that are prime numbers. Every integer greater than 1 is either prime or can be expressed in a prime factorization

Question 8

a^0, 0^0, a^(-1)

Answer 8

a^0 = 1, 0^0 = undefined, a^-1 = 1/a

Question 9

sqrt(a)*sqrt(b) =

Answer 9

sqrt(a)sqrt(b) = sqrt(ab)

Question 10

sqrt(a)/sqrt(b) =

Answer 10

sqrt(a)/sqrt(b) = sqrt(a/b)

Question 11

of roots for odd order roots

Answer 11

For odd-order roots, there is exactly one root for every number n, even when n is negative.

Question 12

of roots for even-order roots

Answer 12

For even-order roots, there are exactly two roots for every positive number n and no roots for any
negative number n.

Question 13

real numbers

Answer 13

consists of all rational and irrational numbers