***
FREE CFAT Practice Test (Canadian Forces Aptitude Test):
https://www.army-test.com/131.html
***
1. Peter lives 2 km to the south of Andrew's house. James lives 4 km to the north of Andrew's house. Thomas' house is 6 km south of Peter's house. How far is James's house from the house of Thomas?
a. 6 km
b. 8 km
c. 10 km
d. 12 km --- answer
Solution:
step1: draw
James
4 km
Andrew
2 km
Peter
6 km
Thomas
step2: add
because the house of Thomas is located directly south of the house of James, we can therefore add all the numbers in between
distance from James to Thomas
= 4 + 2 + 6
= 12 km
2. Morphy is 4 times as old as Bobby.
Bobby is twice as old as Dan. Dan is 3 times as old as Garry who is now 4 years old. How old is Morphy now?
a. 94
b. 96 --- answer
c. 98
d. 92
Solution
step1:
analyze the age relationships
Morphy = 4 x Bobby
Bobby = 2 x Dan
Dan = 3 x Garry
Garry = 4 now
step2:
start from the given age now
(Garry's age = 4)
Garry = 4 now
Dan = 3 x Garry
Dan = 3 x 4
Dan = 12
Bobby = 2 x Dan
Bobby = 2 x 12
Bobby = 24
Morphy = 4 x Bobby
Morphy = 4 x 24
Morphy = 96
3. Smith is now 24 years old. Smith is twice as old as Hudson when Smith was as old as Hudson is now. How old is Hudson now?
a. 18 --- answer
b. 16
c. 14
d. 12
Given
24 years old
= Smith's age now
Solution
Let x = Hudson's age now
age difference now
= 24 - x
age difference when Smith was half his own age
= x - (24/2)
since age difference is always the same now and in the past,
NOW PAST
(24 - x) = x - (24/2)
24 - x = x - 12
24 + 12 = x + x
2x = 36
x = 36/2
x = 18
(Hudson's age now)
Checking answer:
difference in age is always equal
age difference now
= 24 - 18
= 6
when Smith was 18, which is Hudson's age now, this was 6 years ago
Smith's age 6 years ago is
= 24 - 6
= 18
since the age difference is always equal, we must also subtract 6 from Hudson's age now
Hudson's age 6 years ago
= 18 - 6
= 12
so, when
Smith was 18, Hudson was 12,
Smith is now 24, which was twice of Hudson's age of 12 (that's 6 years ago)
***
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***
FREE CFAT Practice Test (Canadian Forces Aptitude Test):
https://www.army-test.com/131.html
***
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