Robert Hurt, online










MENTOR · SPEAKER · CONSULTANT

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15:03

1. You earned contract revenue $77,000 in gross income. Your state tax rate is 0%, and your federal tax rate is 24%.

How much total will you owe in income taxes from this contract?


A. $17,480

B. $17,880

C. $18,480

D. $18,880

E. $19,480

Key: 0% + 24% = 24% x 77,000 = 18,480 is the correct answer





2. A janitor lost 48 gallons of water-based cleaning fluid in an open container in a greenhouse. When she finally found it, 45% of the fluid evaporated due to exposure. How many gallons did she find?


A. 26.4

B. 27.6

C. 28.2

D. 28.8

E. 29.4

Key: If 45% evaporated, then 55% is left.

       55% of 48 is 26.4.

       26.4 is the correct answer







3. Of the 15 customer calls Dylan handled, 12 were resolved successfully.

Which decimal represents this success rate?


A. 0.60

B. 0.70

C. 0.75

D. 0.80

E. 0.85

Correct Answer: D. 0.80

Rationale: 12 ÷ 15 = 0.80.






4. You’re solving a puzzle box for a number that changes its display based on levers. Lever R increases the number by 6, Lever S increases it by 2, Lever T decreases it by 1, and Lever U decreases it by 25. You pulled Lever S once, then Lever U once, then Lever R once. The final display reads 33. What number was originally displayed?


A. 50

B. 51

C. 52

D. 53

E. 54

Correct Answer: C. 52

Rationale: Since you are given the end result, 33, AND since you are given chronological instructions, use those chronological instructions backwards and invert each operation.

              33 – 6 = 27, then

              27 + 25 = 52, then

              52 – 2 = 50.

              50 is your answer.






5. A shipment of 16 containers arrived at a tile warehouse, each with 10 tiles. After unpacking, 8 tiles were chipped. What percentage of the shipment was damaged?


A. 2.0%

B. 3.5%

C. 5.0%

D. 50%

E. 80%

Correct Answer: C. 5.0%

Rationale: 16 containers of 10 tiles in each container = 16 × 10, which is 160 tiles.

              8 of the 160 tiles were damaged, which means we should divide.

              8 ÷ 160 = 0.05, which is 5.0%.






6. Each stone bench requires 2 and 3/4 bags of concrete mix. If a team installs 6 benches, how many bags of mix are needed?


A. 14 and 1/2

B. 15 and 1/2

C. 15 and 3/4

D. 16 and 1/2

E. 16 and 3/4

Correct Answer: D. 16 and 1/2

Rationale: 1 bench needs 2 and 3/4 bags of concrete mix, so we multiply to get the total for 6 benches.

               Convert the 2 and 3/4 into an improper fraction (11/4)

               (11/4 × 6 = 66/4 = 16 and 1/2). Rewritten as a mixed number, this is 16 and 1/2.

               16 and 1/2 is the correct answer.







7. Four painters at PrimeCo Interiors are painting apartment doors.


Painter A paints 1 door every 6 minutes

Painter B paints 1 door every 10 minutes

Painter C paints 1 door every 12 minutes

Painter D is a trainee and paints 1 door every 24 minutes


If all four work together for 1.5 hours, how many doors can they finish?

A. 28

B. 30

C. 32

D. 34

E. 35

Correct Answer: E. 35


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


A – 10 doors/hour; 

B – 6 doors/hour; 

C – 5 doors/hour; 

D – 2.5 doors/hour


Collectively, they can all paint 23.5 doors an hour. Make this an equation and find the multiplier (1.5)

23.5 panels (* 1.5) = 1 hour (* 1.5)

35.25 doors          = 1.5 hours

35.25 rounds down to 35 completed doors

35 is the correct answer.






8. A subscription analytics tool offers two pricing tiers:


Plan A: $15 base + $0.005 per transaction for the first 9,000 transactions, then $0.008 per transaction after that

Plan B: $75 base + $0.0025 per transaction (flat rate, no tiers)


If a business averages 12,000 transactions per month, what is the average unit transaction cost under the more cost-effective plan?


Formula: (total cost / total transactions)



A. $0.00676

B. $0.00688

C. $0.00694

D. $0.00700

E. $0.00706

Key:

A – (15 + (.005 * 9,000) + (.008 * 3,000) = 15 + 45 + 24 = 84)

B – (75 + (0.0025 * 12,000) = 75 + 30 = 105)


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

Therefore, $84.00 / 12,000 = 0.007

0.007 is the correct answer






9. The diagram below represents tables A, B, & C. The length of the rectangle, the longer side, is 88 feet long. The width of the rectangle is 36 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 3. If the area of circle B is 189.96% of the area of circle A, what is the radius of circle A?


Area of circle = 3.14 * radius2




A. 13

B. 15

C. 17

D. 19

E. 21


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 36. Half of this is the radius of Circle B.


Area of circle B = 3.14 * 182 , which calculates to 1017.36.


1017.36           = area of circle A * 189.96% (divide both sides by 1.8996)

535.57             = area of circle A

535.57             = 3.14 * r2 (divide both sides by 3.14) 

170.56             = r2 (find the square root of both sides)

13.06               = r

13 is the radius of circle A


         

 

10. Determine the diameter of the cylinder’s face below that would have a volume of approximately 9,237 cubic cm and a height of 7 cm. 


Volume of cylinder = (3.14 * radius2 * height)


A. 39 cm

B. 41 cm

C. 43 cm

D. 45 cm

E. 49 cm


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

       9,237                   = (3.14 * radius2 * 7cm) (You should divide both sides by 7)

       1,319.57               = (3.14 * radius2) (You should divide both sides by 3.14)

       420.25                 = (radius2) (Use the “square root button” to get the root)

       20.5                     = (radius) (You have a radius. You need the diameter. Multiply by 2)

       41                       = (diameter)

       41 is the correct answer.