GMAT Focus prep exam questions and
answers
An ______ is any number in the set {. . . −3, −2, −1, 0, 1, 2, 3, . . .}. For any ____ n,
the numbers in the set {n, n + 1, n + 2, n + 3,...} are consecutive. - integer
If x and y are integers and x ≠ 0, then x is a ____ or ____ of y if y = xn for some
integer
Then y is divisible by x and is called a ____ of x. - divisor
factor
multiple
what is an integer? - A WHOLE number (not a fraction or decimal!) that can be
positive or negative
Dividing a positive integer y by a positive integer x, and then rounding down to the
nearest nonnegative integer, gives the ____ of the division. - quotient
What is a quotient? - the result of division
,GMAT Focus prep exam questions and
answers
To find the remainder of the division, what do you do? - multiply x by the
quotient, then subtract the result from y.
When 28 is divided by 8, the quotient is ___ and the remainder is ___ because? -
3
4
28 = (8)(3) + 4.
Since 32 divided by 8 has a remainder of 0, 32 is divisible by 8. So 8 is a ____ of 32,
and 32 is a ____ of 8. - divisor or factor
multiple
When a smaller integer is divided by a larger integer, the quotient is 0 and the
remainder is the smaller integer.
When 5 is divided by 7, what is the quotient and remainder? - the quotient is 0
the remainder is 5
since 5 = (7)(0) + 5.
,GMAT Focus prep exam questions and
answers
What is a prime number? - A number divisible only by 1 and itself.
e.g. 7 is a prime number as it's factors are 1 and 7. 9 is not a prime number as it's
factors are 1, 3 and 9.
To add 17.6512 and 653.27, insert ___ to the right of the last digit in 653.27 to line
up the decimal points when the numbers are in a column. - zeros
17.6512 + 653.2700 = 670.9212
To divide 698.12 by 12.4, first move the decimal points in both the divisor 12.4
and the dividend 698.12 one place to the right to make the divisor an integer. That
is, replace 698..4 with ____ - 6981.
If x and y are both positive, then x + y is _____.
If x and y are both negative, then x + y is _____. - positive
negative
, GMAT Focus prep exam questions and
answers
If x and y are both positive, then xy is ____.
If x and y are both negative, then xy is ____.
If x is positive and y is negative, then xy is ____.
If xy = 0, then x = ___ or y = ___, or ___. - positive
positive
negative
then x = 0 or y = 0, or both.
x^0 = ___ - 1
If x ≠ 0, then x^-1 = ___ - 1/x
xy+z = ____ - xyxz
If x ≠ 0, then x^y-z = ____ - x^y / x^z
If z ≠ 0, then (x/z)^y = ___ - x^y / z^y
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