In a cricket team tournament 16 teams participated. A sum of Rs 8000 is to be awarded among themselves as prize money. If the last place team is awarded Rs 275 in prize money and the award increases by the same amount for successive finishing places, how much amount will the first place team receive?

Two schools P and Q want to award their selected students on the values of Discipline, politeness and punctuality. The school P wants to awards Rs. x each, Rs. y each and Rs. z each for the three respective values to its 3, 2 and 1 students with a total award money of Rs. 1000. School Q wants to spend Rs 1500 to award its 4, l and 3 students on the respective values (by giving the same award money for the three values before) If the total amount of awards for one prize on each value is Rs. 600, using matrices, find the award money for each value. Apart from the above three values suggest one more value for awards.

Two schools P\ a n d\ Q want to award their selected students on the values of Tolerance, Kindness and Leadership. The school P wants to award Rs x each, Rs y each and Rs z each for the three respective values to 3, 2 and 1 students respectively with a total award money of Rs 2,200. School Q wants to spend Rs 3,100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P) . If the total amount of award for one prize on each values is Rs 1,200, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

Two schools P and Q want to award their selected students on the values of Tolerance, Kindness and Leadership. The school P wants to award Rs. x each, Rs. y each and Rs. z each for the three respective values to 3, 2 and 1 students respectively with a total award money of Rs. 2,200. School Q wants to spend Rs. 3,100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P). If the total amount of award for one prize on each value is Rs. 1,200, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

Two schools P and Q want to award their selected students on the values of Tolerance, Kindness and Leadership. The school P wants to award Rs. x each, Rs. y each and Rs. z each for the three respective values to 3, 2 and 1 students respectively with a total award money of Rs. 2,200. School Q wants to spend Rs. 3,100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P). If the total amount of award for one prize on each value is Rs. 1,200, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

Two factories decided to award their employees for three values of (a) adaptable to new techniques, (b) careful and alert in difficult situations and (c) keeping calm in tense situations, at the rate of Rs x ,\ y\ a n d\ z per person respectively. The first factory decided to honour respectively 2, 4 and 3 employees with a total prize money of Rs 29000. The second factory decided to honour respectively 5, 2 and 3 employees with the prize money of Rs 30500. If the three prizes per person together cost Rs 9500, then represent the above situation by a matrix equation and form linear equations using matrix multiplication. Solve these equations using matrices. (iii) Which values are reflected in the questions?

A skeet shooting competition awards prizes for each round as follows : the first - place winner receives 11 points, the second - place winner receives 7 points, the third - place finisher receives 5 points, and the fourth - place finisher receives 2 points. No other prizes are awardded Johan completes in several rounds of the skeet shooting competition and receives points every time he completes. If the product of all of hte points he receives equal 84,700, in how many rounds does he participate?

Two institutions decided to award their employees for the three values of resourcefulness, competence and determination in the form of prizes at the rate of Rs x ,\ y\ a n d\ z respectively per person. The first institution decided to award respectively 4, 3 and 2 employees with a total prize money of Rs 37000 and the second institution decided to award respectively 5, 3 and 4 employees with a total prize money of Rs 47000. If all the three prizes per person together amount to Rs 12000, then using matrix method find the value of x ,\ y ,\ a n d\ zdot What values are described in this equations?

Given below (figure) is the bar graph indicating the marks obtained out of 50 in mathematics paper by 100 students. Read the bar graph and answer the following questions: It is decided to distribute work books on mathematics to the students obtaining less then 20 marks, giving one workbook to each of such students. If a work book costs Rs.5, what sum is required to buy the work books? Every student belonging to the highest mark group is entitled to get a prize of Rs. 10. How much amount of money is required for distributing the prize money? Every student belonging to the lowest mark-group has to solve 5 problems per day. How many problems, in all, will be solved by the students of this group per day? State whether true or false. 17% students have obtained marks ranging from 40 to 49. 59 students have obtained marks ranging from 10 to 29. What is the number of students getting less than 20 marks? What is the number of students getting more than 29 marks? What is the number of students getting marks between 9 to 40? What is the number of students belonging to the highest mark group? What is the number of students obtaining more than 19 marks?