Robert Hurt Online - Mentor, Speaker, Consultant

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15:03

1. Elena owns a boutique that reported $105,000 in revenue last year. She must pay a 6% business operations tax to the city and 18% federal tax on her total revenue. What’s the total amount of taxes she will pay?

A. $25,200

B. $25,400

C. $25,600

D. $25,800

E. $26,000

Key: 18% + 6% = 24% x 105,000 = 25,200.

25,200 is the correct answer

2. In a retro-style video game, you control a terminal with four commands. ↑10 multiplies score by 10, ↓5 divides score by 5, →1 increases score by 1, and ←3 decreases score by 3. The player enters →1 twice, ↑10 once, and then ←3 once, and ends with a displayed score of 87. What was their starting score?

A. 7

B. 13

C. 21

D. 54

E. 79

Key: Since you are given the end result, 87, AND since you are given chronological instructions, use those chronological instructions backwards and invert each operation.

87 + 3 = 90, then

90 / 10 = 9, then

9 - 2 = 7.

7 is the correct answer.

3. A logistics report showed that out of 968 items shipped, about 12% never arrived, 86% arrived safely, and the rest were received, yet not found in inventory. If the profit would have been $2.66 per item, which of the following represents the per-item-profit that retains the total profit originally desired, yet avoids inflating prices beyond what’s necessary?

A. 3.02

B. 3.04

C. 3.10

D. 3.12

E. 3.15

Key:

(1) We should start by finding the initially desired profit. 968 * 2.66 = 2,574.88.

(2) The next step is to figure out how many items we can sell to meet that profit.

0.86 * 968 = 832 items.

(3) Let’s figure out the new per-item-profit we need.

2,574.88 / 832 = 3.0948.

We need at least $3.10. $3.10 is the correct answer

4. To fill each of several large candles, a manufacturer uses 5 and 2/5 ounces of wax. If they’re pouring wax for 4 candles, what’s the total amount of wax required?

A. 20 and 3/4 oz

B. 21 and 3/5 oz

C. 22 and 1/5 oz

D. 22 and 3/5 oz

E. 24 oz

Key: 1 candle needs 5 and 2/5 ounces of wax, so we multiply to get the wax for 4 tables.

Convert the 5 and 2/5 into a decimal (5.40)

5.40 * 4 = 21.60. Rewritten as a mixed number, this is 21 and 3/5.

21 and 3/5 is the correct answer

5. A deal on headphones says: Buy 3, get the 4th free. If the customer pays $180 total, which equation represents the regular price of one pair of headphones?

A. 4h = 180
B. 3h = 180
C. h + 3 = 180
D. 3(h + 1) = 180
E. 3h + 0.5h = 180

Key: If you look at the offer, it is buy 3, get another 4th free.

This means you pay the price for 3 and get 4, so that means

3 * (regular price) = total sales price

3h = 180 is the answer

6. In a customer survey about car brands, 200 people were asked to pick their favorite.

3/10 chose Brand X
1/4 chose Brand Y
2/5 chose Brand Z

If 4 people chose Brand V, and there are only 5 brands, what percent of the people chose Brand W?

A. 15%
B. 12%
C. 9%
D. 6%
E. 3%

Key: Since the answer choices are represented as percentages, let’s translate into percentages.

Brand V = 6/200 (3%),

Brand X = 3/10 (30%),

Brand Y = 1/4 (24%),

Brand Z = 2/5 (40%), and

Brand W is the remainder.

3% + 30% + 24% + 40% = 97%, which means Brand W was chosen by 3% of the customers.

3% is the correct answer.

7. Three workers build shelves at different speeds:

Worker A builds one shelf every 18 minutes
Worker B builds one shelf every 24 minutes
Worker C builds one shelf every 36 minutes

If they all begin building at the same time, how many completed shelves will they build in 1 hour and 48 minutes?

A. 8
B. 10
C. 11
D. 12
E. 13

Key: This represents a “work rate”, so we need to translate their work into a common unit

of measurement, which is “per-hour”.

A – 3.33 shelves/hour;

B – 2.5 shelves/hour;

C – 1.67 shelves/hour

Collectively, they can all clean 7.5 panels an hour.

Make this an equation and find the multiplier that divides 1 hour and 48 minutes

(108 minutes) by 1 hour (60 minutes), which gives us 1.8

7.5 shelves (* 1.8) = 1 hour (* 1.8)

13.5 shelves = 1.8 hours (108 minutes)

13 is the correct answer. They ask for COMPLETED shelves.

8. A startup is considering two plans for a customer messaging platform:

Plan Standard: $10/month + $0.005 per message, but capped at 20,000 messages total; beyond that, an additional $0.008 per message applies
Plan Unlimited: $100/month flat rate for unlimited messages

If the business expects to send 24,000 messages monthly, what is the average cost per message under the better-value plan?

A. $0.00415
B. $0.00417
C. $0.00419
D. $0.00421
E. $0.00422

Key: This represents a “best priced plan” question. Figure out which is cheaper.

Standard – (10 + (.005 * 20,000) + (.008 * 4,000) = 10 + 100 + 32, which is 142

Unlimited – (100 = which is 100

Since Unlimited is cheaper, calculate the average unit cost: (total cost / total transactions)

Therefore, $100 / 24,000 = 0.00416666

0.00417 is the correct answer

9. The diagram below represents tables A, B, & C. The length of the rectangle, the longer side, is 72 feet long. The width of the rectangle is 22 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 2. If the area of circle B is 246.93% of the area of circle A, what is the area of the unshaded area of the rectangle?

Area of circle = 3.14 * radius²

A. 896 sq. ft.

B. 912 sq. ft.

C. 948 sq. ft.

D. 968 sq. ft.

E. 992 sq. ft.

Key: Honestly, you need to subtract the area of the circles from the rectangle.

Area of rectangle – areas of circles

The rectangle has a length of 72ft and a width of 22ft.

Area of rectangle = 72 * 22, which is 1,584 sq ft.

Area of circle B = 3.14 * radius², and the width of the rectangle is the diameter of circle B, which is 22. Half of this is the radius of Circle B.

Area of circle B = 3.14 * 11² , which calculates to 379.94.

379.94 = area of circle A * 246.93% (rewritten as a decimal is 2.4693)

*Divide both sides by 2.46*

153.865 = area of circle A

Area of rectangle (1,584) – Areas of circles (379.94 + 153.865 + 153.865)

1584 – 687.67 = 896.33 sq ft.

896 sq ft is the correct answer.

10. Determine the radius of the cylinder’s face below that would have a volume of approximately 38,584 cubic cm and a height of 12 cm.

Volume of cylinder = (3.14 * radius² * height)

A. 32 cm

B. 34 cm

C. 35 cm

D. 36 cm

E. 38 cm

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

38,584 = (3.14 * radius² * 12cm) (You should divide both sides by 12)

3,215.33 = (3.14 * radius²) (You should divide both sides by 3.14)

1,023.99 = (radius²) (Use the “square root button” to get the root)

31.999 = (radius)

32 is the correct answer.

MENTOR · SPEAKER · CONSULTANT