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08 Jul 2019, 03:04
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (02:00) correct
16%
(02:12)
wrong
based on 221
sessions
History
Date
Time
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Not Attempted Yet
At an event, 40% of the attendees are over 50 years old and another 20% are under 20 years old. Which of the following statements must be true?
I. The ratio of those over 50 to those between 20 and 50 inclusive is 2 : 3.
II. The ratio of those under 20 to those between 20 and 50 inclusive is 1 : 2.
III. 1/3 of the attendees who are not over 50 are under 20.
A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III
I. The ratio of those over 50 to those between 20 and 50 inclusive is 2 : 3.
II. The ratio of those under 20 to those between 20 and 50 inclusive is 1 : 2.
III. 1/3 of the attendees who are not over 50 are under 20.
A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III
08 Jul 2019, 03:21
Kudos
Bookmarks
Bunuel
Let total = 100
Number of people >50 years = 40
Number of people <20 years = 20
Number of people between 20 & 50 inclusive = 40
I. The ratio of those over 50 to those between 20 and 50 inclusive is 2 : 3.
= 40 : 40 = 1 : 1 —> False
II. The ratio of those under 20 to those between 20 and 50 inclusive is 1 : 2.
= 20 : 40 = 1 : 2 —> True
III. 1/3 of the attendees who are not over 50 are under 20.
Number of people who are not >50 = 100 - 40 = 60
—> Number of people who are <20 = 20 = 1/3 rd of 60 —> True
IMO Option D
Pls Hit kudos if you like the solution
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General Discussion
08 Jul 2019, 08:42
Kudos
Bookmarks
Let 100 be the total number of people at the event
50 years and above 40
50-20 inclusive 40 (100-40-20)
20 years below 20
I. The ratio of those over 50 to those between 20 and 50 inclusive is 2 : 3.
\(\frac{40}{40}\)= 1:1 thus false
II. The ratio of those under 20 to those between 20 and 50 inclusive is 1 : 2.
\(\frac{20}{40}\)=1:2 true
III. 1/3 of the attendees who are not over 50 are under 20.
\(\frac{20}{20 + 40}\) = \(\frac{1}{3}\) true
thus II and III must be true (D)
50 years and above 40
50-20 inclusive 40 (100-40-20)
20 years below 20
I. The ratio of those over 50 to those between 20 and 50 inclusive is 2 : 3.
\(\frac{40}{40}\)= 1:1 thus false
II. The ratio of those under 20 to those between 20 and 50 inclusive is 1 : 2.
\(\frac{20}{40}\)=1:2 true
III. 1/3 of the attendees who are not over 50 are under 20.
\(\frac{20}{20 + 40}\) = \(\frac{1}{3}\) true
thus II and III must be true (D)
