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10 Feb 2025, 01:30
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C
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Difficulty:
35%
(medium)
Question Stats:
69% (01:36) correct
31%
(01:20)
wrong
based on 104
sessions
History
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Not Attempted Yet
How many members of the staff of ABC Derivatives are women from outside the United States?
(1) one-fourth of the staff at ABC Derivatives are men
(2) 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.
(1) one-fourth of the staff at ABC Derivatives are men
(2) 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.
10 Feb 2025, 01:55
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Statement 1: We have no information about women, US-outside US or total. Insufficient
Statement 2:
If 20% or 20 are men from US, then total = 100
Men from US = 20
Women from US = 40
Total from US = 60
Total from outside US = 40
But we don't know how many of them are women
Insufficient
Combination:
Total Men = 1/4*100 = 25
Total Women = 100-25=75
Women from outside US = Total Women - Women from US = 75-40
Sufficient
Statement 2:
If 20% or 20 are men from US, then total = 100
Men from US = 20
Women from US = 40
Total from US = 60
Total from outside US = 40
But we don't know how many of them are women
Insufficient
Combination:
Total Men = 1/4*100 = 25
Total Women = 100-25=75
Women from outside US = Total Women - Women from US = 75-40
Sufficient
Bunuel
10 Feb 2025, 07:49
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How many members of the staff of ABC Derivatives are women from outside the United States?
(1) one-fourth of the staff at ABC Derivatives are men
Hence insufficient
(2) 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.
Hence insufficient
(1) and (2)
Hence Sufficient
IMO Ans C
(1) one-fourth of the staff at ABC Derivatives are men
| Men | Women | Total | |
| Outside US | ? | ||
| Inside US | |||
| Total | \(\frac{1}{4}*T\) | \(\frac{1}{4}*T\) | T |
Hence insufficient
(2) 20% of the staff, or 20 individuals, are men from the U.S.; there are twice as many women from the U.S. as men from the U.S.
| Men | Women | Total | |
| Outside US | ? | ||
| Inside US | 20 | 40 | |
| Total | 100 |
Hence insufficient
(1) and (2)
| Men | Women | Total | |
| Outside US | 5 | ?=35 | 40 |
| Inside US | 20 | 40 | 60 |
| Total | \(100*\frac{1}{4}= 25\) | \(100*\frac{3}{4}= 75\) | 100 |
Hence Sufficient
IMO Ans C
