If a+b+c=15 and a²+b²+c²=83 then the value of a³+b³+c³-3abc

The average weight of 29 students is 40 kg. If the weight of teacher be included the average weight increased by 400 gms. The weight of the teacher is-

The length of the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to:

Study the table and answer the questions and give answer the following questions.

Supposing that there were 40 students in sciences in the year 2009. How much total of marks did they receive combined together?

The circle-graph given here shows the spending of a country on various sports during a particular year. Study the graph carefully and answer the question given below it.

If the total amount spent on sports during the year was Rs. 2 crores, the amount spent on cricket and Hockey together was:

In an examination, 50% of the students passed in Science and 75% passed in Social Science, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?