# Finding out when an Equation has No Solution

This is an MCQ-based quiz for GRE on How To Find Out When An Equation Has No Solution.

Sometimes equations have no solution. This means that no matter what value is plugged in for the variable, you will always get a contradiction.

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Solve: −3(2x−5)=9−6x

15/9 No Solution 9 Infinitely Many Solutions 15

y=32

y=x/2−4

Quantity A: y/7

Quantity B: x

The relationship cannot be determined from the information given.

Quantity A is greater.

The two quantities are equal.

Quantity B is greater.

Column A: |x|
Column B: x^3

Column A is greater.

The values are equal.

Column B is greater.

The relationship cannot be determined.

Find the solution to the following equation if x = 3:
y = (4x^2 - 2)/(9 - x^2)

3

6

no possible solution

0

Solve:
3(2x−6)+2x=7x−12

-30

10

30

6

-6

Solve .
|3−4x|<0.

x<3/4

x>4/3

No solutions

x<4/3

x>3/4

(a+b)^2=34

ab/2=6

Quantity A: a^2+b^2

Quantity B: 11

The relationship cannot be determined.

Quantity A is greater

The two quantities are equal.

Quantity B is greater

a>0

Quantity A: (a+5)(4a+2)

Quantity B: (4a+5)(a+2)

The two quantities are the same.

The relationship cannot be determined.

Quantity B is greater.

Quantity A is greater.

Quantity A: 1/16+1/17+1/18+1/19

Quantity B: 1/5

The two quantities are equal.

The relationship cannot be determined.

Quantity B is greater.

Quantity A is greater.

The sum of two integers is 22. The larger integer is 20% greater than the smaller integer. What is the positive difference between the two?

8

6

2

4

Quiz/Test Summary
Title: Finding out when an Equation has No Solution
Questions: 10
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