CFAT Practice Test Questions with Answers in PROBLEM SOLVING - ps027

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1. An event in Gagetown, New Brunswick has a total of 90 participants consisting soldiers, sailors and aviators. How many soldiers are there if the number of sailors is 2/3 the number of soldiers and the number of aviators is 5/6 the number of soldiers?

a. 36  --- answer 

b. 24

c. 30

d. 15

Solution 

Let x =

number of soldiers 

x + (2/3)x + (5/6)x

= 90

(3/3)x + (2/3)x + (5/6)x = 90

(5/3)x + (5/6)x = 90

(5/3 + 5/6) x = 90

(2 * 5 + 1 * 5) x = 90

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          6

(10 + 5) x  = 90

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

      6

15 x  = 90

----

6

15x = 90 * 6

15x = 540

x = 540/15

x = 36 

(soldiers)

Checking:

substitute x = 36 

in original equation 

x + (2/3)x + (5/6)x

= 90

36 + (2/3)36 + (5/6)36 = 90

36 + 24 + 30 = 90 

60 + 30 = 90 

90 = 90

2. What is the result of the expression below?

1/6 ÷ 2/3 + 1/8 × 0.5 - 0.225

a. 0.0625

b. 0.0587

c. 0.0875  --- answer

d. 0.0785

Solution 

Use BEDMAS

1/6 ÷ 2/3 + 1/8 × 0.5 - 0.225

1/6 × 3/2 + 0.125 × 0.5 - 0.225

3/12 + 0.0625 - 0.225

0.25 + 0.0625 - 0.225

0.3125 - 0.225

0.0875

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