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15:03

1. You just wrapped up a contract project that paid $68,000 in gross income. Your state tax rate is 2.5%, and your federal tax rate is 24%. How much total will you owe in income taxes from this contract?


A. $18,020

B. $18,120

C. $18,220

D. $18,320

E. $18,620

Key: 24% + 2.5% = 26.5% x 68,000 = 18,020 is the correct answer





2. Alex and Ben partnered to vacuum 48 rooms. In three hours, they both vacuumed 2/6 of the rooms. How many more rooms do they have left to vacuum?


A. 26

B. 28

C. 30

D. 32

E. 34

Key: If 2/6 rooms were vacuumed, then 4/6 rooms are left. 4/6 of 48 is 32. 32 is the correct answer






3. Luis got a passing grade on 7 of his last 9 quizzes. What decimal represents this proportion?


A. 0.67

B. 0.70

C. 0.75

D. 0.78

E. 0.80

Correct Answer: D. 0.78

Rationale: 7 ÷ 9 ≈ 0.78.






4. You’re solving a puzzle box for a number that changes its display based on levers. Lever M increases the number by 4, Lever N increases it by 2, Lever O decreases it by 5, and Lever P decreases it by 12. You pulled Lever N once, then Lever P once, then Lever M two times. The final display reads 138. What number was originally displayed?


A. 138

B. 139

C. 140

D. 141

E. 142

Correct Answer: C. 140

Rationale: Since you are given the end result, 38, AND since you are given chronological instructions, use those chronological instructions backwards and invert each operation.

              138 – 8 = 130, then

              130 + 12 = 142, then

              142 – 2 = 140.

              140 is your answer.






5. A delivery of 15 boxes reached a print shop, each box containing 8 journals. When unpacked, 6 journals were torn. What percentage of the shipment was damaged?


A. 5.0%

B. 5.5%

C. 6.0%

D. 6.8%

E. 7.2%

Correct Answer: A. 5.0%

Rationale: 15 boxes of 8 journals in each box = 15 × 8, which is 120 journals.

               6 of the 120 journals were damaged, which means we should divide.

               6 ÷ 120 = 0.05, which is 5.0%.






6. Each roll of carpet covers 5 and 1/4 square yards. If a contractor uses 5 rolls, how many square yards will be covered?


A. 25 and 1/4

B. 26

C. 26 and 1/4

D. 26 and 1/2

E. 26 and 3/4

Correct Answer: C. 26 and 1/4

Rationale: 1 roll covers 5 and 1/4 square yards, so we multiply to get the total for 5 rolls.

              Convert the 5 and 1/4 into an improper fraction (21/4)

              (21/4 × 5 = 105/4 = 26 and 1/4).

              Rewritten as a mixed number, this is 26 and 1/4.

              26 and 1/4 is the correct answer.






7. Four members of Elite Auto Wash are detailing cars.


Worker A details 1 car every 15 minutes

Worker B details 1 car every 20 minutes

Worker C details 1 car every 30 minutes

Worker D is a trainee and details 1 car every 60 minutes


If all four work together for 3 hours, how many cars will be completed?


A. 30

B. 31

C. 32

D. 33

E. 34

Correct Answer: A. 30

Rationale: This represents a “work rate”, so we need to translate their work into a common unit of measurement, which is “per-hour”.


A – 4 cars/hour; 

B – 3 cars/hour; 

C – 2 cars/hour; 

D – 1 car/hour


Collectively, they can all detail 10 cars an hour. Make this an equation and find the multiplier (3)


10 panels (* 3) = 1 hour (* 3)

30 cars           = 3 hours

30 is the correct answer.






8. A subscription analytics tool offers two pricing tiers:


Plan A: $13 base + $0.006 per transaction for the first 6,000 transactions, then $0.009 per transaction after that

Plan B: $54 base + $0.003 per transaction (flat rate, no tiers)


If a business averages 10,000 transactions per month, what is the average unit transaction cost under the more cost-effective plan?


Formula: (total cost / total transactions)


A. $0.00840

B. $0.00845

C. $0.00850

D. $0.00855

E. $0.00870

Key:

A – (13 + (.006 * 6,000) + (.009 * 4,000) = 13 + 36 + 36 = 85)

B – (54 + (0.003 * 10,000) = 54 + 30 = 84)


Since B is cheaper, calculate the average unit cost: cost / transactions

Therefore, $84.00 / 10,000 = 0.0084

0.0084 is the correct answer





9. The diagram below represents tables A, B, & C. The length of the rectangle, the longer side, is 92 feet long. The width of the rectangle is 40 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 6. If the area of circle B is 420.77% of the area of circle A, what is the radius of circle A? 



Area of circle = 3.14 * radius2




A. 8.63

B. 8.74

C. 9.11

D. 9.43

E. 9.75


Key: Honestly, most of the information given is irrelevant. 

Area of circle B = pi * radius2, and the width of the rectangle is the diameter of circle B, which is 40. Half of this is the radius of Circle B.


Area of circle B = 3.14 * 202 , which calculates to 1256.

1256               = area of circle A * 420.77% (divide both sides by 4.2077)

298.5              = area of circle A

298.5              = 3.14 * radius2 (divide both sides by 3.14)

95.0637           = radius2 (find the square root)

9.75 is radius.


         

 

10. Determine the height of the cylinder below that would have a volume of approximately 13,000 cubic cm and a radius of 22.5 cm. 



Volume of cylinder = (3.14 * radius2 * height)


A. 6 cm

B. 7 cm

C. 8 cm

D. 10 cm

E. 11 cm


Key: Volume of cylinder = (3.14 * radius2 * height)

     13,000                   = (3.14 * 22.52 * height) (You should divide both sides by 506.25)

     25.68                     = (3.14 * height) (You should divide both sides by 3.14)

     8.18                       = (height)

     8 is the correct answer.