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10 Feb 2025, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:36) correct
31%
(01:20)
wrong
based on 104
sessions
History
Date
Time
Result
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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(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.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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
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