Free OAR Math Skills Question and Answers — Questions and Answers

Question 1: A $20,000 car loses value every year until only the metal and components are left. Which of the following equations can accurately be used to calculate the car's value at T years after purchase if it takes the car 15 years to lose all value other than the metal and parts, and the metal and parts are worth $755?

-15T + 20,000
-15T + 755
-1283 + 20,000 (Correct answer)
-1283T + 755

Correct answer: -1283 + 20,000

The car depreciates from $20,000 to $755 over 15 years, meaning it loses $19,245 in value. This results in an annual depreciation of $19,245 / 15 = $1283. Therefore, the correct equation to calculate the car's value at T years after purchase should be `Value = 20,000 - 1283T`. The provided correct answer, C) -1283 + 20,000, appears to be missing the variable 'T' for the depreciation term, making it an incomplete representation of the car's value over time.

Question 2: What is the value of x if 16x + 4 = 100?

five
six (Correct answer)
seven
eight

Correct answer: six

To solve for x, first subtract 4 from both sides of the equation: 16x = 100 - 4, which simplifies to 16x = 96. Next, divide both sides by 16: x = 96 / 16. Performing the division yields x = 6.

Question 3: How many of the cogs made in March and May were unsatisfactory?

30%
14.30%
33.30%
23.50% (Correct answer)

Correct answer: 23.50%

To determine the percentage of unsatisfactory cogs made in March and May, one would first need the total number of cogs produced in each month and the number of unsatisfactory cogs for each month. Then, sum the unsatisfactory cogs from both months and divide by the sum of total cogs from both months. Multiplying this result by 100 would yield the combined percentage of unsatisfactory cogs.

Question 4: What was the entire increase in cog manufacturing from February to April in percentage terms?

50%
75%
100% (Correct answer)
25%

Correct answer: 100%

To calculate the percentage increase in cog manufacturing from February to April, you would use the formula: `((Cogs in April - Cogs in February) / Cogs in February) * 100%`. A 100% increase implies that the number of cogs manufactured in April was exactly double the number manufactured in February.

Question 5: How many of the gears created in March and April weren't of a high standard?

6,000
5,000
15,000
11,000 (Correct answer)

Correct answer: 11,000

To determine the total number of gears that weren't of a high standard in March and April, one would need the specific production figures for each month and the corresponding number or percentage of unsatisfactory gears. The calculation would involve finding the number of unsatisfactory gears for March and for April, and then summing those two figures to arrive at the total.

Question 6: Only 20% of the retail price of a typical cog may be charged for a subpar cog. If a regular cog was subsequently sold for $1.99 and it was assumed that every cog made in May was sold, how much revenue was earned from all cog sales in May?

$13,930
$19.900
$1,194
$15,130 (Correct answer)

Correct answer: $15,130

To calculate the total revenue from cog sales in May, you need to know the total number of cogs produced and the percentage of those that were subpar. First, determine the number of regular cogs and subpar cogs. Then, multiply the number of regular cogs by $1.99 and the number of subpar cogs by ($1.99 * 0.20). Summing these two amounts would yield the total revenue for May.

Question 7: What is the ratio of Tinalco Limited's first-year coal production to Alcom Plc's anticipated second-year coal production?

1:0.78
1:2
1:0.5 (Correct answer)
1.64:1

Correct answer: 1:0.5

To determine this ratio, one would need the specific coal production figures for Tinalco Limited's first year and Alcom Plc's anticipated second year. Once these numbers are known, the ratio is calculated by dividing Tinalco's production by Alcom's production and simplifying the result. A ratio of 1:0.5 indicates that Tinalco's first-year production was twice that of Alcom's anticipated second-year production.

Free OAR Math Skills Question and Answers

A $20,000 car loses value every year until only the metal and components are left.
Which of the following equations can accurately be used to calculate the car's value at T years after purchase if it takes the car 15 years to lose all value other than the metal and parts, and the metal and parts are worth $755?