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08 May 2018, 00:36
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
69% (02:45) correct
31%
(03:13)
wrong
based on 193
sessions
History
Date
Time
Result
Not Attempted Yet
Each person in a group of 110 investors has investments in either equities or securities or both. Exactly 25% of the investors in equities have investments in securities, and exactly 40% of the investors in securities have investments in equities. How many have investments in equities?
A) 65
B) 80
C) 120
D) 135
E) 150
A) 65
B) 80
C) 120
D) 135
E) 150
08 May 2018, 01:33
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I worked it reverse as I was unsure of how to find the answer by technique.
a(equity alone)+b(Equity and security)+c(security alone) = 110
25% of investors in equity have invested in security as well. That is B.
From the given answer choices only 80 and 120 gives an integer when divided by 4. Therefore checking with first choice 80.
1/4(80) = 20. subtracting this from 80 would give 'A' alone.
60 + 20 + C = 110. So C is 30.
This also satisfies the condition that 40% of security also invested in equity. That is 0.4(50) = 20.
Hence OA - B.
a(equity alone)+b(Equity and security)+c(security alone) = 110
25% of investors in equity have invested in security as well. That is B.
From the given answer choices only 80 and 120 gives an integer when divided by 4. Therefore checking with first choice 80.
1/4(80) = 20. subtracting this from 80 would give 'A' alone.
60 + 20 + C = 110. So C is 30.
This also satisfies the condition that 40% of security also invested in equity. That is 0.4(50) = 20.
Hence OA - B.
08 May 2018, 03:48
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Bunuel
According to the conditions,
\(0.25E=0.4S\)
\(E=1.6S\)
Only equities \(= 1.6S - 1.6S*0.25 = 1.2S\)
Only securities \(= S - 0.4S = 0.6S\)
Both \(E\) and \(S = 0.4S\)
\(1.2S + 0.6S + 0.4S = 110\)
\(S = 50\)
\(E = 50*1.6 = 80\)
Answer: B
