Three boys agree to divide a bag of marbles in the following manner. The first boy takes one more than half the marbles.The second taken a third of the number remaining.The third boy finds that he is left with twice as many marbles as the second boy.Then the number of marbles is

In a game of marbles between Ron and Jacob, at one-point Ron gave Jacob one-third of his marbles to Jacob and Jacob returned one-fourth of his total of marbles to Ron. It was found that the initial ratio of the number of marbles with Ron and Jacob remained the same after this exchange. What is the ratio of the number of marbles with Ron and Jacob?

Three boys and two girls stand in a queue. The probability, that the number of boys ahead is at least one more than the number of girls ahead of her is?

A book is published in three volumes, the pages being numbered from 1 onwards. The page numbers are continued from the first volume to the second volume to the third. The number of pages in the second volume is 50 more than that in the first volume, and the number pages in the third volume is one and a half times that in the second. The sum of the page numbers on the first pages of the three volumes is 1709. If n is the last page number, what is the largest prime factor of n ?

A bag had 90 marbles. John came and took 38 away and Amit put in some more marbles in the bag. If the number of marbles in the bag now are 15 more than the number that was in the bag initially, find how many marbles Amit had put in the bag.

Represent the following situations mathematically: (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with. A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was RS.750. We would like to find out the number of toys produced on that day.

A number is doubled to get a second number which is further doubled to get a third number. When these three numbers are added, it is found that the sum is 8 less than 8 times the original number. Find the original number .

The numbers 1,2,3 and 4 are written separately on four slips of paper. The slips are then put in a box and mixed thoroughly. A person draws two slips from the box, one after the other without replacement. Describe the following events. A= The number on the first slip is larger than the one on the second slip. B= the number on the second slip is greater than 2 C= the sum of het numbers on the two slips is 6 or 7 D= the number on the second slips is twice that on the first slip. Which pair (s) of from events is (are) mutually exclusive?

In how many ways can 10 marbles be divided between two boys so that one of them may get 2 and the other 8?

Represent the following situations mathematically:(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.

In how many ways can 14 identical toys be distributed among three boys so that each one gets at least one toy and no two boys get equal number of toys.