In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:
(a) 13
Let the no. of girls be 5x
No. of boys=7x
According to the question
5x+8=7x
7x-5x=8
2x=8
x=8/2
x=4
No. of girls=5*4=20
no. of boys=7*4 or 5*4+8=28
Hence the total strength of the class is 20+28=48
The teacher can select a student for monitor in two exclusive ways
(i) Select a boy among 10 boys, which can be done in 10 ways OR
(ii) Select a girl among...
Leaving one seat vacant between two boys may be seated in 4! ways. Then at remaining 5 seats, 5 girls any sit in 5! ways. Hence the required number =...
(d) Assume the 2 given students to be together (i.e one].
Now there are five students.
Possible ways of arranging them are = 5! = 120
Now, they (two girls) can arrange themselves...
(c) Initial strength of class = 45
Now, new strength = 47
The boy’s rank is dropped by one Now, his rank becomes 21.
Total number of boys in class = Boy’s rank...