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: 1,200 employees, males and females, requested a raise.
Asked: How many requests were granted?
(1) 5/12 of the males and 7/12 of the females had their request granted.
Number of males and number of females are not mentioned but both numbers are multiples of 12
Let the number of males be \(12k_1\)
Let the number of males be \(12k_2\)
\(12k_1 + 12k_2 = 12 (k_1 + k_2) = 1200\)
\(k_1 + k_2 = 100\)
Request granted \(= 5/12 * 12k_1 + 7/12 * 12K_2 = 5k_1 + 7k_2 = 5k_1 + 7(100-k_1) = 700 - 2k_1\)
Since k_1 can take multiple values
NOT SUFFICIENT
(2) 200 of the requests made by males were granted.
Since requests granted for females is not mentioned
NOT SUFFICIENT
Combining (1) & (2)
(1) 5/12 of the males and 7/12 of the females had their request granted.
Number of males and number of females are not mentioned but both numbers are multiples of 12
Let the number of males be \(12k_1\)
Let the number of males be \(12k_2\)
\(12k_1 + 12k_2 = 12 (k_1 + k_2) = 1200\)
\(k_1 + k_2 = 100\)
Request granted \(= 5/12 * 12k_1 + 7/12 * 12K_2 = 5k_1 + 7k_2 = 5k_1 + 7(100-k_1) = 700 - 2k_1\)
(2) 200 of the requests made by males were granted.
\(5k_1 = 200\)
\(k_1 = 40\)
Requests granted = 700 - 80 = 620
SUFFICIENT
IMO C