Quantitative Algebra

This is an MCQ-based quiz on GMAT, which includes questions on quantitative reasoning (algebra).

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What is the value of z?
Statement 1: $\dpi{100} \small x+y+z=4$
Statement 2: $\dpi{100} \small 2x+y^{2}+z=17$

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Statements 1 and 2 TOGETHER are NOT sufficient.

Statement 2 ALONE is sufficient, but statement 1 is not sufficient.

EACH statement ALONE is sufficient.

Statement 1 ALONE is sufficient, but statement 2 is not sufficient.

Is the equation linear?
Statement 1: 3x+ky−8z=4
Statement 2: k is a constant

EACH statement ALONE is sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Statement 1 ALONE is sufficient, but statement 2 is not sufficient.

Statement 2 ALONE is sufficient, but statement 1 is not sufficient.

Statements 1 and 2 TOGETHER are NOT sufficient.

Data Sufficiency Question

Solve for x and y.

3x+2y=7

1. x+y=3

2. Both x and y are positive integers

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Each statement alone is sufficient

Data sufficiency question- do not actually solve the question

Solve for y:

2x+3xy+4y=7

1. x=1

2. x+4y=13

Each statement alone is sufficient

Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question

Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question

Both statements taken together are sufficient to answer the question, but neither question alone is sufficient

Data Sufficiency Question

Solve for x and y:

3x+2y=7

1. x+y=4

2. y=2

statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

both statements taken together are sufficient to answer the question, but neither statement alone is sufficient

statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

each statement alone is sufficient

Given that both A,B≠0, how many solutions does this system of equations have: one, none, or infinitely many?

Ax+By=12

20x+5y=C

Statement 1: A=3B

Statement 2: C=12

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

EITHER statement ALONE is sufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

Solve the following for x:

4x+7y = 169

1. x > y

2. x - y = 12

Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

Statements 1 and 2 together are not sufficient.

Each statement alone is sufficient.

Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

Given that x−y=8, evaluate z.

Statement 1: y+4z=x

Statement 2: x+z=y+10

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

EITHER statement ALONE is sufficient to answer the question.

Data Sufficiency Question

Solve for x, y, and z:

3x+2y+z=12

1. 2x+3y+2z=14

2. z=3

Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Each statement alone is sufficient

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient

How many solutions does this system of equations have: one, none, or infinitely many?

Ax+4y=12

20x+By=C

Statement 1: A=10

Statement 2: B=5

EITHER statement ALONE is sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

Quiz/Test Summary

Title: Quantitative Algebra

Questions: 10

Contributed by:

james Mon, Apr 25, 2022 12:54 PM UTC

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