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Bunuel
If 1,200 employees, males and females, requested a raise, how many requests were granted?

(1) 5/12 of the males and 7/12 of the females had their request granted.

(2) 200 of the requests made by males were granted.

given m+f=1200
#1
5/12 m+ 7/12 f total request but m & f not know
insufficient
#2
male request out of 1200 employee 200 but how many are males insufficient
from 1 &2
5*x/12 = 200 ; x i.e male = 480 so females; 720 and out of which 280 had request granted
total ; granted ; 200+280 ; 480 granted
IMO C

Requests for males granted = 200
Requests for females granted = 60*7 = 420
Total Requests granted = 200 + 420 = 620
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Kinshook
edited thanks...

Kinshook
Archit3110
Bunuel
If 1,200 employees, males and females, requested a raise, how many requests were granted?

(1) 5/12 of the males and 7/12 of the females had their request granted.

(2) 200 of the requests made by males were granted.

given m+f=1200
#1
5/12 m+ 7/12 f total request but m & f not know
insufficient
#2
male request out of 1200 employee 200 but how many are males insufficient
from 1 &2
5*x/12 = 200 ; x i.e male = 480 so females; 720 and out of which 280 had request granted
total ; granted ; 200+280 ; 480 granted
IMO C

Requests for males granted = 200
Requests for females granted = 60*7 = 420
Total Requests granted = 200 + 420 = 620
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Bunuel
If 1,200 employees, males and females, requested a raise, how many requests were granted?

(1) 5/12 of the males and 7/12 of the females had their request granted.

(2) 200 of the requests made by males were granted.

Let males be x and females be y

Given : x+y=1200
To find: How many got raise?

(1) 5x/12 + 7x/12 were granted raise. Insufficient

(2) men who were granted raise were 200, still number of women who were granted raise is unknown. Insufficient

(1)+(2) 5x/12 = 200 --> x = 480
We known x+y =1200 --> y = 1120
We can now calculate number of raises. Sufficient.

C is correct.
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Bunuel
If 1,200 employees, males and females, requested a raise, how many requests were granted?

(1) 5/12 of the males and 7/12 of the females had their request granted.

(2) 200 of the requests made by males were granted.

Official Explanation



We have a lot of people requesting a raise here. Simple question: how many were granted? On to the data statement, separately first.

Statement (1) gives us the rate requested by male and by female, but we don't know the overall gender ratio. Out of the 1,200, they could be 10% female or 90% female, with different outcomes in those different cases. So Statement (1) is insufficient.

Statement (2) suffers from the same logical problem as Statement (1) and contains even less information. So it's insufficient.

Combining them, we may have something. We know most about the males. Together, we know that 5/12 of requests by males were granted and that this proportion equals 200. So,

5/12*(male requests) = 200

And

(male requests) = 200*12/5 = 480

That means that we can get the number of female requests, and from that we can determine the number of female requests granted. Adding the male requests granted and female requests granted will give us the total granted, which is what we are looking for. So the statements are sufficient together.

The correct answer is (C).
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Bunuel
If 1,200 employees, males and females, requested a raise, how many requests were granted?

(1) 5/12 of the males and 7/12 of the females had their request granted.

(2) 200 of the requests made by males were granted.

Video Explanation



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