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10 Oct 2025, 00:13
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Difficulty:
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75% (01:50) correct
25%
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At a medical convention attended only by pediatricians and general surgeons, 40 percent of the 250 pediatricians in attendance were male, and 60 percent of the general surgeons were male. How many people were at the convention?
(1) The ratio of male pediatricians to female general surgeons was 2 to 3.
(2) There were exactly 150 female general surgeons in attendance.
(1) The ratio of male pediatricians to female general surgeons was 2 to 3.
(2) There were exactly 150 female general surgeons in attendance.
10 Oct 2025, 04:52
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Bunuel
A medical convention is attended by pediatricians and general surgeon only.
Given that: Number of pediatricians = 250, of which 40% is male .
pediatricians Male = 40%*(250) = 100.
pediatricians Female = 60% * (250) = 150.
Let the number of general surgeons = x
60% of x = Male Surgeons.
40% of x = Female Surgeons.
| Male | Women | Total | |
| paediatricians | 100 | 150 | 250 |
| General Surgeons | 60%x | 40% x | X |
| Total |
Statement 1:
(1) The ratio of male pediatricians to female general surgeons was 2 to 3.
100 / (40%x) = 2/3
solving it we get , x = 375.
Hence, Sufficient
Statement 2:
(2) There were exactly 150 female general surgeons in attendance.
40% of x = 150
x = 375.
Hence, Sufficient.
Both statements are individually sufficient.
Option D
10 Oct 2025, 09:52
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Male Pediatricians : 0.4*250, Female : 0.6*250
Assuming pediatricians and general surgeons have no intersection, if total x number of GS, 0.6x male, 0.4x female. Now Statement 1 states that 0.6*250/0.4x ratio is something, can find x -- Hence sufficient.
Statement 2 directly gives 0.4x sufficient
Answer D
Assuming pediatricians and general surgeons have no intersection, if total x number of GS, 0.6x male, 0.4x female. Now Statement 1 states that 0.6*250/0.4x ratio is something, can find x -- Hence sufficient.
Statement 2 directly gives 0.4x sufficient
Answer D
