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Number Systems - Set 1

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NUST Entrance Test
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Mathematics
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Number Systems

Set 1

MM

Mashaal Masha

Sep 23, 2022

Table of Contents

Choose the correct options for the following questions.

If $a>b$, then according to additive property of inequalities $a+c$____ $b+c$

Difficulty: Easy

A:

$>$

B:

$<$

C:

$=$

D:

None of these

View Solution Steps

Additive inverse of a complex number $(a, b)$ is written as:

Difficulty: Easy

A:

$(-a, b)$

B:

$(a, -b)$

C:

$(-a, -b)$

D:

(\frac{1}{a},\frac{1}{b})

View Solution Steps

What is the area of a rectangular room whose length is $5 - 3i$ and width is $2i$?

Difficulty: Easy

A:

$6+10i$

B:

$5-i$

C:

$16$

D:

$8$

View Solution Steps

Real part of $(2-3i)^{6}$ is

Difficulty: Easy

A:

$64$

B:

$2035$

C:

$828$

D:

$132$

View Solution Steps

Modulus of $i$ is equal to

Difficulty: Easy

A:

$i$

B:

$-i$

C:

$1$

D:

$-1$

View Solution Steps

Real part of $(4-i)^{2}$ is

Difficulty: Easy

A:

8

B:

15

C:

23

D:

7

View Solution Steps

Iota expressed in the form of coordinates is

Difficulty: Easy

A:

$(0,1)$

B:

$(1,0)$

C:

$(0,0)$

D:

It is impossible to express a complex number in the form of coordinates

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Iota expressed in the form of coordinates is

Difficulty: Easy

A:

$(0,1)$

B:

-8+\sqrt{2}i

C:

-8-\sqrt{2}i

D:

None of these

View Solution Steps

The real part of the complex number $6(2-3i)$ is

Difficulty: Easy

A:

2

B:

12

C:

$-3$

D:

$-18$

View Solution Steps

Simplify the expression $(1+i)^{8}$

Difficulty: Easy

A:

$-16$

B:

$16$

C:

$32$

D:

$-32$

View Solution Steps