At a medical convention attended only by pediatricians and general surgeons, 40 percent of the 250 pediatricians in...

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Source: Princeton Review

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

The OA is D
Source: — Data Sufficiency |

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Total pediatricians = 250
Male pediatricians = 40% of 250 = 100
Let total general surgeon = s
Male general surgeon = 60% of s = 0.6s


Target question =>How many people were at the convention?
Statement 1 => The ratio of male pediatricians to female general surgeons was 2 to 3
Female general surgeon = 40% of s = 0.4s
100 : 0.4s = 2:3
100/0.45 = 2/3
300/0.8 = 0.8s/0.8
s = 375
Total attendant = 250 + 375 = 625
Statement 1 is SUFFICIENT


Statement 2 =>There were exactly 150 female general surgeons on attendance
Female general surgeon b= 40% of s = 0.4s
0.4s = 150
0.4s/0.4 = 150/0.4
s = 375
Total attendants = 250 + 375 =625
Statement 2 is also SUFFICIENT


Since each statement on its own is SUFFICIENT
Answer = D