DSQ: Solving inequalities

Practice Questions

GMAT Quantitative Reasoning › DSQ: Solving inequalities

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1

Data sufficiency question- do not actually solve the question

Is $\small xy< 12$ ?

1. $\small x^2=64; 1\leq y\leq 1.5$

2. $\small x+y=6$

2

True or false:

Statement 1: $x^{8} >256$

Statement 2: $x^{10} >1,024$

3

True or false:

Statement 1:

Statement 2: $x^{2}> 25$

4

True or false: is a positive number.

Statement 1: $N = \left | N \right |$

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

5

True or false:

Statement 1: $x^{2}< 144$

Statement 2: $x^{3}< 1,728$

6

The variables stand for integer quantities.

Order from least to greatest:

$A^{P}, B^{Q}, C^{R}, D^{S}$

Statement 1:

Statement 2:

7

The variables stand for integer quantities.

Order from least to greatest:

$A^{P}, B^{Q}, C^{R}, D^{S}$

Statement 1:

Statement 2:

8

The variables stand for integer quantities.

Order from least to greatest:

$A^{P}, B^{Q}, C^{R}, D^{S}$

Statement 1:

Statement 2:

9

True or false:

Statement 1: $x^{5}< 0$

Statement 2: $3 ^{x}> 6^{x}$

10

True or false:

Statement 1: $x^{2} > 121$

Statement 2: $x^{3}> 1,331$

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