DSQ: Graphing complex numbers

Practice Questions

GMAT Quantitative Reasoning › DSQ: Graphing complex numbers

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1

Let be a positive integer.

True or false: $i^{N} = 1$

Statement 1: is a prime number.

Statement 2: is a two-digit number ending in a 7.

2

Let be a positive integer.

Evaluate $i^{N}$ .

Statement 1: is a multiple of 3.

Statement 2: is a multiple of 7.

3

Let and be real numbers.

What is the product of and its complex conjugate?

Statement 1: $a^{2}+b^{2}= 71$

Statement 2: $a^{2}-b^{2}= 39$

4

Let and be real numbers.

What is the product of and its complex conjugate?

Statement 1:

Statement 2:

5

Let and be real numbers.

What is the product of and its complex conjugate?

Statement 1:

Statement 2: $b = \sqrt{2}$

6

Let be a positive integer.

Evaluate $i^{N}$ .

Statement 1: is a multiple of 16.

Statement 2: is a multiple of 20.

7

Let and be real numbers.

From the number , subtract its complex conjugate. What is the result?

Statement 1: $a ^{2}- b^{2}= 36$

Statement 2:

8

Let and be real numbers.

From the number , subtract its complex conjugate. What is the result?

Statement 1:

Statement 2:

9

Let and be real numbers.

What is the sum of and its complex conjugate?

Statement 1: $a ^{2}+ b^{2}= 50$

Statement 2: $a ^{2}= b^{2}$

10

Let and be real numbers.

What is the sum of and its complex conjugate?

Statement 1:

Statement 2:

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