DSQ: Understanding absolute value

Practice Questions

GMAT Quantitative Reasoning › DSQ: Understanding absolute value

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1

Is nonzero number positive or negative?

Statement 1:

Statement 2: $N^{2} + 5N < 0$

2

is a real number. True or false: $\left | N \right | < 5$

Statement 1:

Statement 2:

3

is a real number. True or false:

Statement 1: $\left | N\right | > 10$

Statement 2: $N^{2} > 100$

4

True or false:

Statement 1: $\left | N\right | <7$

Statement 2: $N^{2} < 49$

5

Let be any three (not necessarily distinct) integers.

At how many points does the graph of the function

intersect the -axis?

Statement 1: and are nonzero integers of opposite sign.

Statement 2: and are nonzero integers of opposite sign.

6

Is $\left | a-b \right |<\left | a-c \right |?$

(1)

(2) $\left | b \right |<\left | c \right |$

7

Which, if either, is the greater number: or ?

Statement 1:

Statement 2:

8

Of distinct integers , which is the greatest of the three?

Statement 1:

Statement 2:

9

Given that , evaluate .

$x^{2} - y^{2} = 40$

10

is a real number. True or false: $\left | N\right | < 5$

Statement 1: $\left | N - 1\right | < 4$

Statement 2: $\left | N +1 \right | <6$

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