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Saturday, July 1, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING - ps012

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1. Andrew lives in Ontario and earned a gross income of $64,000 in 2022. According to his income bracket, his federal tax rate in Canada is 20.5%. If his provincial tax rate is 9.15%, what is his income after taxes?

a. $45,024 -- answer

b. $42,045

c. $45,420

d. $42,540

Solution:

step1: solve federal tax

Canada federal tax

= $64,000 x 20.5%

= $64,000 x 0.205

= $13,120

step2: solve provincial tax

Ontario provincial tax

= $64,000 x 9.15%

= $64,000 x 0.0915

= $5,856

step3: income after taxes

Income after taxes

= gross income

- federal tax

- provicial tax

Income after taxes

= $64,000

- $13,120

- $ 5,856

----------------------

$45,024

2. Michael's average grade for Chemistry, Math, and English is 85. If his grade in Chemistry is 90 and Math is 87, what is his grade in English?

a. 79

b. 78 --- answer

c. 77

d. 76

Solution:

Let x

= Michael's grade in English

Average grade = 85

Chemistry = 90

Math = 87

Average grade

= (Chemistry + Math

+ English)/3

85 = (90 + 87 + x)/3

cross multiply

90 + 87 + x = 85 * 3

177 + x = 255

x = 255 - 177

x = 78

checking:

Average

= (90 + 87 + 78)/3

= 85

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Friday, June 23, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps011

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1. An Ontario real estate agent received a $44,670 commission for selling a single detached home. His commission was 3% of the selling price. Calculate the selling price of the home.

A. $1,489,000

B. $1,498,000

C. $1,849,000

D. $1,894,000

Answer: A

Solution:

Let

S = selling price of the home

c = commission

r = commission rate

c = S * r

Given:

c = $44,670

r = 3%

substituting the given into the formula,

c = S * r

44,670 = S * 3%

44,670 = S * 0.03

S = 44,670/0.03

S = $1,489,000

2. A motorcycle parts retailer's monthly total purchase on parts is $210,000. Monthly transportation costs are $3,000. Utilities costs $600 per month. Employee payroll costs are $17,000 monthly. Loan payments are $5,000 a month. Monthly rent is $6,000. Insurance cost is $500 a month. Maintenance cost and reserve fund expense is $3,000 per month. If the store owner's monthly sales revenue is $320,400, what is his monthly profit margin before taxes?

a. 25.3%

b. 23.5% --- answer

c. 32.5%

d. 24.3%

Solution:

step 1:

calculate total monthly expenses

Total monthly expenses

= 210,000 +

3,000 +

600 +

17,000 +

5,000 +

6,000 +

500 +

3,000

--------------------------

$245,100

step 2:

calculate net income (profit) before taxes

= Total monthly sales revenue minus Total monthly expenses

Net income (profit) before taxes

= 320,400 - 245,100

= $75,300

step 3:

calculate net profit margin before taxes

= (Net income before taxes

divided by Total monthly sales revenue) x 100%

= (75,300/320,400)

x 100%

= 23.5%

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Friday, June 16, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps010

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1. Francis and his parents went for a long drive on a long weekend using two different cars. Francis drove at 95 km/hr and his parents at 85 km/hr. Assuming no traffic and Francis and his parents starting at the same time and the same location using the same route, how far apart are they after 3 hours?

a. 25 km

b. 30 km --- answer

c. 35 km

d. 40 km

Solution:

S = v * t

where:

S = distance

v = velocity (speed)

t = time of travel

solving for their distances after 3 hours,

Francis

S = v * t

S = 95 km/hr * 3 hr

S = 285 km

Parents

S = v * t

S = 85 km/hr * 3 hr

S = 255 km

Distance apart

= 285 - 255

= 30 km

2. A certain lemonade juice mixture contains 0.25 ml of lemon juice and 6 grams of sugar for every cup of water. If 16 cups of water is to be used, how much lemon juice and sugar is to be added to the mixture?

A. 3 ml & 92 grams

B. 3 ml & 86 grams

C. 4 ml & 69 grams

D. 4 ml & 96 grams

D --- answer

Solution:

step1:

determine the original proportions of the mixture

1 : 0.25 : 6

1 cup of water

0.25 ml lemon juice

6 grams of sugar

step2:

determine the total amount of water needed, in order to get the multiplier

total water (given)

= 16 cups

multiplier = 16

step3:

use the multiplier in step2 to solve for the total amount of lemon juice and sugar needed

from the original proportions,

1 : 0.25 : 6

1 cup of water

0.25 ml lemon juice

6 grams of sugar

total lemon juice

= 0.25 x 16

= 4 ml

total sugar

= 6 x 16

= 96 grams

Answer:

4 ml & 96 grams

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Friday, June 9, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps009

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1. A student worked during the summer and earned $5,000. He invests his earnings in a 2-yr term deposit that pays 3% per year. What is the value of his investment at the end of the term?

a. $5,403.5

b. $5,504.5

c. $5,304.5 - answer

d. $5,305.4

Solution:

The rate in this problem is compound interest, meaning that the interest earned at the end of the first year will be added to the principal.

$5,000 = initial investment

2-yr = term

3%/yr = interest rate

step1:

solve for the Interest earned at the end of the first year

Interest at year 1

= $5,000 x 3%

= $5,000 x 0.03

= $150

step2:

add the Interest at year 1 to the initial investment

Principal at year 1

= $5,000 + $150

= $5,150

step3:

solve for the Interest at the end of the second year

Interest at year 2

= $5,150 x 3%

= $5,150 x 0.03

= $154.5

step4:

add the Principal at year 1 to the Interest at year 2

Total amount at the end of the term

= $5,150 + $154.5

= $5,304.5

2. Jaden is 6 years older than his sister Florence. Next year, Jaden will be twice as old as Florence. Solve for their ages now.

a. 14, 8

b. 13, 7

c. 11, 5 --- answer

d. 12, 6

Solution:

let

J = Jaden's age now

F = Florence's age now

equation1:

their ages now

J = 6 + F

equation2:

their ages 1 year from now

J + 1 = 2 (F + 1)

substitute the value of J in equation1 into equation2

(6 + F) + 1 = 2 (F + 1)

6 + F + 1 = 2F + 2

7 - 2 = 2F - F

5 = F

F = 5

solve for J in equation1 using the value of F = 5

J = 6 + F

J = 6 + 5

J = 11

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Friday, June 2, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps008

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1. Paul is on the 25th floor of a high-rise building when the time was 6:25.

If it takes him 12 seconds to go down per floor, what will be the time when he arrives at the ground floor?

a. 6:29

b: 6:30 --- answer

c. 6:31

d. 6:32

Solution:

step 1:

multiply number of floors by time going down per floor

total time

= 25 x 12

= 300 seconds

step 2:

divide total time by 60 to convert in minutes

minutes

= 300/60

= 5 minutes

step 3:

add 5 minutes to the time when Paul was at the top floor

time at ground floor

= 6:25 + 5 minutes

= 6:30

2. What is the next number in the series?

279, 186, ____, 82.67

a. 93

b. 165

c. 142

d. 124 --- answer

Solution:

Divide by 1.5 to get the next number

279/1.5 = 186

186/1.5 = 124

124/1.5 = 82.67

3. Calculate the value of the unknown.

30% x = 1080 * 1/72

a. 15

b. 45

c. 50 --- answer

d. 30

Solution:

30% x = 1080 * 1/72

0.3x = 15

x = 15/0.3

x = 50

4. On his first week, Adam worked 40 hours from Monday to Friday. On Saturday, he worked overtime for an extra 20% of his hours. On his second week, he worked 43 hours with no overtime. How many hours did he work in total?

a. 84

b. 83

c. 91 --- answer

d. 90

Solution:

first week hours

= 40 + 20% (40)

= 40 + 8

= 48

second week hours

= 43

total hours

= 48 + 43

= 91

5. What is the correct value of y?

0.8 - y + 34 = y - 0.9

a. 18.75

b. 18.57

c. 17.58

d. 17.85 --- answer

Solution:

0.8 - y + 34 = y - 0.9

0.8 + 0.9 + 34 = y + y

35.7 = 2y

y = 35.7/2

y = 17.85

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Friday, May 26, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps007

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1. Find the missing number in the sequence.

89, 108, 91, ____, 93

a. 106 --- answer

b. 110

c. 93

d. 104

Solution:

plus 19

minus 17

plus 15

minus 13

89 + 19 = 108

108 - 17 = 91

91 + 15 = 106

106 - 13 = 93

2. Solve the following equation.

1/4 + 1/5 - 1/6

a. 32/120

b. 27/60

c. 17/60 --- answer

d. 34/120

Solution:

find LCD = 60

15 + 12 - 10

--------------------------

27 - 10

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17/60

3. On Mila's birthday, she received three gift cards: $25, $30, and $50. If she uses her gift cards to buy shirts that costs $15.95 each, what is the maximum number of shirts she can buy?

a. 5

b. 6 --- answer

c. 7

d. 8

Solution:

total giftcards

= 25 + 30 + 50

= 105

max # of shirts

= 105/15.95

= 6

4. Rommel's midterm grades are 84, 90, 81, 92, 85.

What is his average grade for the term?

a. 84.6

b. 86.2

c. 86.4 --- answer

d. 87.4

Solution:

Average

84+90+81+92+85

-----------------------------

= 432/5

= 86.4

5. Which number below has the highest value?

a. 1/64

b. 256/16000

c. 2/127

d. 289/17000

Answer: d

Solution:

using manual division (no calculators allowed in CFAT)

1/64 = 0.0156

256/16000 = 0.016

2/127 = 0.0157

289/17000 = 0.017

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