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04 Mar 2026, 08:52
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
36% (02:08) correct
64%
(03:18)
wrong
based on 14
sessions
History
Date
Time
Result
Not Attempted Yet
In the 2020 Summer Olympics, Morocco won twice as many medals as Canada, and Germany won 4 more medals than France.
In the 2024 Summer Olympics, Canada won 5 more medals than in 2020, Morocco won 3 fewer medals than in 2020, Germany won 3 more medals than in 2020, and France won the same number of medals as in 2020.
In each year, Morocco won more medals than any of the other three countries, and Canada won fewer medals than any of the other three countries.
What is the minimum possible total number of medals won by the four countries in 2024?
A. 100
B. 102
C. 104
D. 106
E. 108
In the 2024 Summer Olympics, Canada won 5 more medals than in 2020, Morocco won 3 fewer medals than in 2020, Germany won 3 more medals than in 2020, and France won the same number of medals as in 2020.
In each year, Morocco won more medals than any of the other three countries, and Canada won fewer medals than any of the other three countries.
What is the minimum possible total number of medals won by the four countries in 2024?
A. 100
B. 102
C. 104
D. 106
E. 108
04 Mar 2026, 10:07
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kevincan
For 2020,
Canada = x (Least)
Morocco = 2x ( Highest)
Germany = y+4
France = y
Arranging from Highest to Lowest:
Morocco > Germany > France > Canada
2x > y+4 > y > x
For the year 2024:
Canada : x+5
Morocco : 2x-3
Germany : y+7
France: y
Arranging from Highest to Lowest:
Morocco > Germany > France > Canada
2x-3 > y+7 > y > x+5
Considering the first two relationship :
2x-3 > y+7
2x > y+10
as per, y > x+5 . The value of y can be (x+6)
substituting in 2x > y+10
2x > (x+6)+10
2x > x+16
x >16
The value of x minimum = 17.
and y > x+5 . That’s y>22. So y minimum = 23.
Morocco > Germany > France > Canada
2x-3 > y+7 > y > x+5
2*17 -3 > 23+7 > 23 > 17+5
31 > 30 > 23 > 22
sum of the values = 31+30+23+22 = 106
Option D
