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MGMAT Odds & Evens
MGMAT GMAT Odds & Evens questions
30
Mathematics
Graduate
10/07/2010

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Term
What is the result of ADDING or SUBTRACTING and ODD with an EVEN (or an EVEN with an ODD)?
Definition
ODD

e.g. 7 + 8 = 15
e.g. 13 - 2 = 11
Term
What is the result of ADDING 2 Odds or 2 Evens?
Definition
EVEN

e.g. 7 + 11 = 18
e.g. 8 + 6 = 14
Term
When MULTIPLYING integers, if ANY integer is even, what is the result - (odd/even)?
Definition
EVEN
Term
When MULTIPLYING integers, if NO integer is even, what is the result - (odd/even)?
Definition
ODD
Term
Multiplying several EVEN integers together results in higher and higher powers of ...?
Definition
2

Because each even number will contribute at LEAST one 2 to the factors of the product
Term
If there are 3 EVEN integers in a set of integers being multiplied together, what is the result divisible by (in terms of power/base)?
Definition

2= 8

 

e.g. 2 x 5 x 6 x 10 = 600

E x O x E x E = div. by 23

Term
ODD +/- ____ = ODD
Definition
EVEN
Term

 

ODD  +/-  ?  = EVEN

 

Definition

ODD

 

e.g. 3 + 5 = 8

e.g. 13 + 19 = 32

Term

EVEN  +/- EVEN  = ?

Definition

EVEN

 

e.g. 10 + 20 = 30

e.g. 2 + 6 = 8

Term
ODD x ODD = ?
Definition

ODD

 

e.g. 3 x 3 = 9

e.g. 5 x 11 = 55

e.g. 9 x 3 = 27

Term
EVEN X EVEN = ? ... and is div. by ?
Definition

EVEN

div. by 4

 

Term
ODD x ? = EVEN 
Definition
EVEN
Term
Consecutive Integers alternate between ___ and ___ ?
Definition

EVEN and ODD

 

e.g. 2, 3, 4, 5, 6, 7

 

E,O,E,O,E

Term
EVEN / EVEN = ?
Definition

EVEN, ODD or NON-INT

 

e.g. 12/2 = 6

e.g. 12/4 = 3

e.g. 12/8 = 1.5

Term
EVEN / ODD = ?
Definition

EVEN or NON-INT

 

e.g. 12/3 = 4

e.g. 12/5 = 2.4

Term
ODD / EVEN = ?
Definition

 NON-INT


e.g. 9/6 = 1.5

Term
ODD / ODD = ?
Definition

  ODD or NON-INT


e.g. 15/5 = 3

e.g. 15/25 = 0.6

Term
What is the only EVEN prime number?
Definition
2
Term
How many EVEN primes are there?
Definition
ONE... the number 2
Term

 An ODD number divided by ANY OTHER INTEGER can produce an EVEN integer?

 

TRUE or FALSE

Definition

 FALSE

 

 An ODD number divided by ANY OTHER INTEGER can NEVER produce an EVEN integer !

Term

 An ODD number divided by an EVEN integer CANNOT produce an integer.

 

TRUE or FALSE?

Definition

TRUE

 

 An ODD number divided by an EVEN integer CANNOT produce an integer. This is because the odd number will NEVER be divisible by the factor of 2 concealed within the EVEN number.

 

 

Term

x and y are primes...

 

What value must x or y be for

x + y = ODD ?

Definition
x or y must be 2 (EVEN + ODD = ODD)
Term

x and y are primes...

 

What values (ODD/EVEN) must x and y be for

x + y = ODD?

Definition
ODD
Term

A sum of 2 primes is ODD

...

One of those primes must be the number __ ?

Definition
2
Term

A sum of 2 primes is EVEN

...

Is 2 one of the primes?

Definition
NO
Term

 

A sum of 2 primes is ODD

...

Is 2 one of the primes?

 

Definition

YES

 

(E x O = O)

Term
How many EVEN primes are there?
Definition
ONE only. The number 2.
Term
For there to be X unique factors of X, what must be true?
Definition
EVERY integer between 1 and X, inclusive, must be a factor of X
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