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Q.

A class consists of 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is

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a

15

b

12

c

8

d

5

answer is D.

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Detailed Solution

Number of groups having 4 boys and 1 girl = 4C4 8C1=gand number of groups having 3 boys and 2 girls= 4C3 gC2=2g(g−1)Thus, the number of dolls distributed=g(1)+(2)[2g(g−1)]=4g2−3gWe are given 4g2−3g=85⇒g=5
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A class consists of 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is