Which of the following is the best estimate of the number of centimeters (cm) in 2 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

A. 175 cm

B. 180 cm

C. 136 cm

D. 90 cm

Answer Explanation:

we convert the given value in yards to the cm by setting up the equation below.

2 yards is equal to 182.88 cm, which is approximately 180 cm.

Therefore, the Correct Answer is B.

Q #1: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 5.0 feet above the sidewalk?

A. 60 feet

B. 145 feet

C. 32.5 feet

D. 30 feet

Answer Explanation

To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,

Now, we find the value of x by cross-products as follows

Thus, the minimum length required to provide access is 60 feet.
Q #2: Three friends are sharing a pizza. One friend eats half of the pizza. The other two friends equally divide the rest among themselves. What portion of the pizza did each of the other two friends receive?

A. 1/6

B. 1/3

C. ¼

D. 1/5

Answer Explanation

we need to find the portion of pizza shared by two other friends.

We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is

Remaining fraction of the pizza=1-1/2=1/2

Now, the two friends share ½ amongst themselves equally. Then, each friend gets

The two friends each gets 1/4 of the pizza.
Q #3: Which of the following values is the greatest?

A. 3/8

B. 6.25

C. 10/7

D. 7.4

Answer Explanation

To find the greatest number from the given options, convert the decimal numbers into fractions.

6.25 becomes 625/100

7.4 becomes 74/10

The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.

3/8*2800=1050

625/100*2800=17500

10/7*2800=4000

74/10*2800=20720

The fraction 7.4 is the greatest of all.