A local law school reports that 74% of last year's graduates are employed by law firms, 3% work for the government and 2% work for nonprofit organizations. The rest of the graduates work at jobs unrelated to law. Based on these outcomes, which of the following is the percentage of graduates working jobs unrelated to law?

A. 5%

B. 79%

C. 69%

D. 21%

Answer Explanation:

Percentages always add up to 100%. If we let x be the percent of graduates working for jobs unrelated to law, then

74%+3%+2%+x=100%

79%+x=100%

Subtract 79% from both sides of the equation

79%-79%+x=100%

x=100%-79%

x=21%

So, the number of graduates working for jobs unrelated to law is 21%.

Therefore, the Correct Answer is D.

Q #1: 7x - 6= 3x - 26 Solve the equation above for x. Which of the following is the value for x?

A. -5

B. 6

C. 5

D. -8

Answer Explanation

Here we collect like terms together and solve for the unknown value of x.

7x-6=3x-26

Add 6 to both sides of the equation

7x-6+6=3x-26+6

7x=3x-20

Subtract 3x from both sides of the equation

7x-3x=-20

4x=-20

Divide both sides by 4

4x/-4=-20/4

x = -5

The value of x = -5
Q #2: A girl and a dog are playing tug of war with a piece of rope. The girl pulls on the rope with a force of 165 newtons (N) towards the east, and the dog pulls with a force of 190 N towards the west. What is the net force on the rope?

A. 25 N towards the west

B. 190 N towards the west

C. 165 N towards the east

D. 35 N towards the east

Answer Explanation

To find the net force, we choose east direction as positive and west as negative. From this, we can present the tag of war in the diagram below.

So, the force on the dog is -190 N and that of the girl is 165 N.

The net force is the sum of the two forces

The resulting force is negative, meaning it is in the west direction. Thus, the net force is 25 N to the west.
Q #3: Which of the following is 3/8 divided by 5/8?

A. 10/9

B. 9/10

C. 3/5

D. 5/12

Answer Explanation

When dividing fractions, the division sign is changed into multiply sign and the first fraction is multiplied by the inverse of the second fraction.

Change division to multiply sign and find invers of 5/8. The inverse of a fraction is inverting the given fraction. The denominator becomes the numerator and the numerator becomes the denominator.