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Tuesday, May 9, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps004

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1. The total number of people in a certain Halifax class frigate is 240. If the number of non-commissioned members are 15 times more than the number of officers, find how many officers on board the ship.


a. 18

b. 20

c. 16

d. 15   --- answer 


Solution:


x = officers 

n = non-commissioned members 


equation 1

x + n = 240


equation 2

n = 15x


substituting the value of n to equation 1, 


x + n = 240

x + 15x = 240

16x = 240 

x = 240/16

x = 15 officers 




2. Six army cadets received 60 poppies to sell to raise funds for veterans. They received an additional 60% of what they were originally given. They gave 12 poppies to a group of navy cadets. If the army cadets were to split the total poppies, how much would each one get?


a. 13

b. 14  --- answer 

c. 15 

d. 16


Solution: 


step 1: 

find the total poppies of the army cadets 


original = 60


additional 

= 60% x 60

= 36 


given to navy cadets

= 12


total 

= 60 + 36 - 12

= 84 


step 2:

divide the total by 6


poppies/army cadet

= 84/6

= 14 poppies 




3. Aidan bought a refurbished I-phone with a 40% discount. He paid $498. What is the price of the Iphone without discount?


a. $199

b. $1254

c. $1245  --- answer 

d. $1425


Given: 

40% discount rate

$498 discounted 

          price 


Solution: 


Undiscounted Price 

= Discounted Price /

   Discount Rate


= $498/40%

= $498/0.40

= $1245




4. What is the missing number in the sequence? 


240, 96, ____, 15.36


a. 38.4  --- answer 

b. 43.8

c. 34.8

d. 84.3


Solution:


divide by 2.5


240/2.5 = 96

96/2.5 = 38.4

38.4/2.5 = 15.36




5. Find the missing number in the sequence.


1,  2,  5,  ____,  677


a. 26  --- answer 

b. 11 

c. 10

d. 25


Solution: 


Square then add 1


1^2 + 1 = 2

2^2 + 1 = 5 

5^2 + 1 = 26 

26^2 + 1 = 677


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