# Wiley Edge Equations Quiz-3

Question 1

Time: 00:00:00
Consider the system of equations:
x + y = 5
2x + 2y = 10

No solution

No solution

One solution

One solution

Two solutions

Two solutions

Infinite solutions

Infinite solutions

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 2

Time: 00:00:00
The breadth of a rectangle is half of the sum of its length and breadth. If the perimeter of the rectangle is 104 m, then calculate the length and breadth of the rectangle.

L = 12 m and B = 24 m

L = 12 m and B = 24 m

L = 14 m and B = 28 m

L = 14 m and B = 28 m

L = 26 m and B = 26 m

L = 26 m and B = 26 m

L = 24 m and B = 12 m

L = 24 m and B = 12 m

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 3

Time: 00:00:00
Solve the system of equations:
$x^{2} + y^{2} = 29$
$x^{2} - y^{2} = 7$

$x = \pm3, y = \pm2$

$x = \pm3, y = \pm2$

$x = \pm4, y = \pm3$

$x = \pm4, y = \pm3$

$x = \pm3 \sqrt{2}, y = \pm \sqrt{11}$

$x = \pm3 \sqrt{2}, y = \pm \sqrt{11}$

$x = \pm \sqrt{2}, y = \pm \sqrt{4}$

$x = \pm \sqrt{2}, y = \pm \sqrt{4}$

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 4

Time: 00:00:00
Solve the equation: $tan^2(x) + 1 = 2tan(x).$

x = π/4

x = π/4

x = π/3

x = π/3

x = π/6

x = π/6

x = π/2

x = π/2

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 5

Time: 00:00:00
If $x^2 + y^2 = 50$ and xy = 12, what is the value of x + y?

6

6

$\pm8$

$\pm8$

-12

-12

$\pm12$

$\pm12$

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 6

Time: 00:00:00
Solve the equation: $4^(x+1) - 4^x = 12$.

x = 1

x = 1

x = 2

x = 2

x = 3

x = 3

x = 4

x = 4

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 7

Time: 00:00:00
If $x^{(1/3)} + y^{(1/3)} = 3$ and xy = 2, what is the value of $x^{2} + y^{2}$?

1

1

9

9

256

256

725

725

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 8

Time: 00:00:00
If x + y = 5 and $x^2 + y^2 = 17$, what is the value of xy?

4

4

-4

-4

8

8

-8

-8

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 9

Time: 00:00:00
Solve the equation: $e^(2x) - e^x - 6 = 0.$

x = ln(3)

x = ln(3)

x = ln(2)

x = ln(2)

x = ln(6)

x = ln(6)

x = ln(4)

x = ln(4)

Once you attempt the question then PrepInsta explanation will be displayed.

Start

Question 10

Time: 00:00:00
If 1/x+1/y = 1/4 and x+y+5= 50 what is the value of x and y?

$x≈ 25, y ≈ \frac{45+{\sqrt{(1305)}}}{2}$

$x≈ 25, y ≈ \frac{45+{\sqrt{(1305)}}}{2}$

$x≈ 20.23, y ≈ \frac{45+{\sqrt{(1305)}}}{2}$

$x≈ 20.23, y ≈ \frac{45+{\sqrt{(1305)}}}{2}$

$x≈ 5.25, y ≈ \frac{45+{\sqrt{(1305)}}}{2}$

$x≈ 5.25, y ≈ \frac{45+{\sqrt{(1305)}}}{2}$

$x≈ 2, y ≈ \frac{45+{\sqrt{(1305)}}}{2}$

$x≈ 2, y ≈ \frac{45+{\sqrt{(1305)}}}{2}$

Once you attempt the question then PrepInsta explanation will be displayed.

Start

["0","40","60","80","100"]
["Need more practice!","Keep trying!","Not bad!","Good work!","Perfect!"]

Personalized Analytics only Availble for Logged in users

Analytics below shows your performance in various Mocks on PrepInsta

Your average Analytics for this Quiz

Rank

-

Percentile

0%

Completed

0/10

Accuracy

0%

##### Get Prepinsta Prime

Get all 200+ courses offered by Prepinsta

### Never Miss an OffCampus Update

Get OffCampus Updates on Social Media from PrepInsta

Follow us on our Media Handles, we post out OffCampus drives on our Instagram, Telegram, Discord, Whatsdapp etc.

## Get over 200+ course One Subscription

Courses like AI/ML, Cloud Computing, Ethical Hacking, C, C++, Java, Python, DSA (All Languages), Competitive Coding (All Languages), TCS, Infosys, Wipro, Amazon, DBMS, SQL and others.

## Get over 200+ course One Subscription

Courses like AI/ML, Cloud Computing, Ethical Hacking, C, C++, Java, Python, DSA (All Languages), Competitive Coding (All Languages), TCS, Infosys, Wipro, Amazon, DBMS, SQL and others.

## Get PrepInsta Prime Subscription

Get access to all the courses that PrepInsta offers, check the out below -

### Companies

TCS, Cognizant, Delloite, Infosys, Wipro, CoCubes, KPMG, Amazone, ZS Associates, Accenture, Congnizant & other 50+ companies

### Programming

Data Structures, Top 500 Codes, C, C++, Java Python & other 10+ subjects

### Skills

Full Stack Web Development, Data Science, Machine Learning, AWS Cloud, & other 10+ skills and 20+ projects