Gmat Quantitave Exercises

Fundamentals of the Quantitative Section

Concepts you must review and questions you must answer

BEFORE the corresponding lesson

1 NUMBER SETS

1) Z+ = positive integers = { 1, 2, 3, 4, 5, …}

2) = whole numbers = { 0, 1, 2, 3, 4, 5, …}

3) Z = integers = {..., -3, -2, -1, 0, 1, 2, 3, ...}

4) Q =rational numbers={ : , }

5) I = irrationals = { : }

6) R = real numbers = Q U I

Def: is called positive if

is called negative if

Questions: a) Is the number 0 positive or negative?

b) If x is a nonnegative number, what are all the possible values for x?

Real number line

x

-1 0 1

Exercise: Analyze the behavior of the powers and roots in the different intervals of the real number line indicated above.

Student's notes

1 INTEGERS

Def: is called

(i) even if , with , or

(ii) odd if , with

Questions: a) Is 0 even?

b) Is 3.5 odd?

Consequences:

Even + even = even

Even + odd = odd

Odd + odd = even

Even even = even

Even odd = even

Odd odd = odd

Question:

The sum of six consecutive odd integers is