In a college,150 students of MBA are enrolled | vedclass

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Question

(B) Total students $= 150$. Ratio of boys to girls $= 7:8$. Total boys $= (7/15) 	imes 150 = 70$. Total girls $= (8/15) 	imes 150 = 80$.Marketing: B

Vedclass · Accepted Answer

$9:13$

Vedclass · Answer

(B) Total students $= 150$. Ratio of boys to girls $= 7:8$. Total boys $= (7/15) 	imes 150 = 70$. Total girls $= (8/15) 	imes 150 = 80$.Marketing: Boys $= 40\% 	ext{ of } 70 = 28$,Girls $= 50\% 	ext{ of } 80 = 40$.$HR$: Boys $= 30\% 	ext{ of } 70 = 21$,Girls $= 30\% 	ext{ of } 80 = 24$.Finance: Boys $= 30\% 	ext{ of } 70 = 21$,Girls $= 20\% 	ext{ of } 80 = 16$.Let $M, H, F$ be the sets of boys in Marketing,$HR$,and Finance. Using the Principle of Inclusion-Exclusion for boys: Only Marketing $= M - (M \cap H) - (M \cap F) + (M \cap H \cap F) = 28 - 7 - 5 + 2 = 18$.For girls: Only Marketing $= 40 - 9 - 8 + 3 = 26$.Ratio of boys to girls only in Marketing $= 18:26 = 9:13$.

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