Form the equation from the folllowing:
In an examination `41` students out of `68` were passed. If `5` boys out of `8` and `7` girls out of `12` come out successful then find thw number of boys and girls.

Form the pair of linear equations in the following problems,and find their solution graphically.(i)10 students of class X took part in a Mathematics quiz.If the number of girls is 4 more than the number of boys,find the number of boys and girls who took part in the quiz.

Out of some shirts brought for sale, 10 were found to be defective.If the probability of a randomly chosen shirt being not defective is 4/5,then find the total number of shirts brought for sale.

Out of 65 students of class X, 40 are boys and 25 are girls.The class teacher wrote the serial numbers of all the students or separate cards and kept in a box in order to select a captain of the class. Then one of the cards is randomly taken out from the box. Find the probabilities of the class-captain being (ii) a girl.

Out of 65 students of class X, 40 are boys and 25 are girls.The class teacher wrote the serial numbers of all the students on separate cards and kept in a box in order to select a captain of the class. Then one of the cards is randomly taken out from the box. Find the probabilities of the class-captain being (i) a boy

A vessel is in the form of an inverted cone.Its height is 8 cm and the radius of its top,which is open,is 5 cm.It is filled with water up to the brim.When lead shots,each of which is a sphere of radius 0.5 cm are dropped into the vessel,one-fourth of the water floes out.Find the number of lead shots dropped in the vessel.

The number of boys and girls in a class are in the ratio 7: 5 . The number of boys is 8 more than the number of girls. What is the total class strength?

Four squares of side 8cm each were cut out from the four corners of a rectangular metal sheet of size 48cmxx36cm .Find the volume of the open cuboid formed with the remaining portion of the metal sheet.

A 1.5 V cell is connected across a 3Omega resistance. Find the number of electrons coming out of the negative terminal of the cell In 5 minutes.

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8 (see Fig. 15.5), and these are equally likely out comes. What is the probability that it will point at (iv) a number less than 9?

In a school,students thought of planting tress in and around the school to reduce air pollution.It was decided that the number of trees that each section of each class will plant will be the same as the class in which they are studing e.g.a section of I class will plant 1 tree,a section of II class will plant 2 trees and so on,a section of XII class will plant 12 trees.There are three sections of each class. Find out how many trees were planted.