A class contains 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 set every week. During, the picnic, the class teacher gives a doll to each girl in the group. If the total number of dolls distributed was 85, then value of `g` is 15 (b) 12 (c) 8 (d) 5

A class contains three girls and four boys. Every Saturday, five go on a picnic (a different group of students is sent every week). During the picnic, each girl in the group is given a doll by the accompanying teacher. If all possible groups of five have gone for picnic once, the total number of dolls that the girls have got is a. 21 b. 45 c. 27 d. 24

A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are 18 in number.The picnic site is 55 km from the school and the transport company is charging at the rate of Rs 12 per km. The total cost of refreshments will be Rs 4280. Can you tell.1. The ratio of the number of girls to the number of boys in the class?2. The cost per head if two teachers are also going with the class?3. If their first stop is at a place 22 km from the school, what per cent of the total distance of 55 km is this? What per cent of the distance is left to be covered?

In a high school, a committee has to be formed from a group of 6 boys M_1,\ M_2,\ M_3,\ M_4,\ M_5,\ M_6 and 5 girls G_1,\ G_2,\ G_3,\ G_4,\ G_5 . Let alpha_1 be the total number of ways in which the committee can be formed such that the committee has 5 members, having exactly 3 boys and 2 girls. (ii) Let alpha_2 be the total number of ways in which the committee can be formed such that the committee has at least 2 members, and having an equal number of boys and girls. (iii) Let alpha_3 be the total number of ways in which the committee can be formed such that the committee has 5 members, at least 2 of them being girls. (iv) Let alpha_4 be the total number of ways in which the committee can be formed such that the committee has 4 members, having at least 2 girls and such that both M_1 and G_1 are NOT in the committee together. LIST-I LIST-II P. The value of alpha_1 is 1. 136 Q. The value of alpha_2 is 2. 189 R. The value of alpha_3 is 3. 192 S. The value of alpha_4 is 4. 200 5. 381 6. 461 The correct option is: P->4;\ \ Q->6;\ \ R->2;\ \ S->1 (b) P->1;\ \ Q->4;\ \ R->2;\ \ S->3 (c) P->4;\ \ Q->6;\ \ R->5;\ \ S->2 (d) P->4;\ \ Q->2;\ \ R->3;\ \ S->1

The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form. (a) 2/12 (b) 3/15 (c) 8/50 (d) (16)/(10) (e) (10)/(60) (f) (15)/(75) (g) (12)/(60) (h) (16)/(96) (i) (12)/(72) (j) 3/18 (k) 3/18 (l) 4/25