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Tuesday, May 9, 2023

CFAT Practice test questions with answers in PROBLEM SOLVING

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FREE CFAT Practice Test (Canadian Forces Aptitude Test): 

https://www.army-test.com/131.html

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1. Pedro earned $150 in 8 hours. Juan earned $125 in 5 hours. Maria earned $140 in 7 hours. Martha earned $135 in 6 hours. Who has the highest pay per hour? 


a. Pedro

b. Maria

c. Martha 

d. Juan   answer


Solution: 


Pedro = 150/8 

Pedro = $18.75 /hr


Juan = $125/5

Juan = $25 /hr


Maria = 140/7

Maria = $20 /hr


Martha = 135/6

Martha = $22.50 /hr




2. If 4x = y + 4 and 

y * 6 = 168, what is x?


a. 6

b. 7

c. 8   answer 

d. 9


Solution: 


step 1:

in the second equation, we can  solve for y 


y * 6 = 168

y = 168/6

y = 28



step 2:

substitute y = 28 

in the first equation 


4x = y + 4 

4x = 28 + 4

4x = 32

x = 32/4

x = 8




3. If the numerator of a certain fraction is increased by 200% and its denominator increased by 300%, the resulting fraction is 9/64. What is the original fraction?


a. 1/16

b. 3/16   answer 

c. 3/32

d. 1/8 


Solution: 


let x = numerator 

let y = denominator 


step 1: solve for x


x + 200% x = 9

x + 2x = 9

3x = 9

x = 9/3

x = 3


step 2: solve for y


y + 300% y = 64

y + 3y = 64

4y = 64

y = 64/4

y = 16


original fraction 

x/y = 3/16




4. Five sailors went to a restaurant in Hawaii. The restaurant offered 25% discount on all sandwiches. Each of the three sailors ordered chicken sandwich while the other two sailors each ordered tuna sandwich. All of the sailors ordered special Hawaiian $5 juice as beverage. If a chicken sandwich costs $10 and tuna sandwich costs $8, how much was their total bill?


a. $59.50   answer 

b. $60.50

c. $58.50

d. $57.50


Solution: 


chicken sandwich 

= 3 x $10

= $30


tuna sandwich 

= 2 x $8

= $16


subtract 25% discount on all sandwiches


total food

= ($30 + $16) x 75%

= $34.50


total beverage 

= 5 x $5

= $25


total bill

= 34.5 + 25 

= $59.50




5. Find the missing number in the series. 


1, 4, 27, ____, 3125


a. 252

b. 254

c. 256   answer 

d. 258 


Solution:


1^1 = 1

2^2 = 4

3^3 = 27

4^4 = 256

5^5 = 3125


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