Exercise 1

A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as E has and if I give you 3 cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. IfB has 2 cards more than what C has and the total number of cards be 133, how many cards does B have?

A gives B as many rupees as B has and C as many rupees as C has. Similarly, B then gives A and C as many rupees as each then has. C, similarly, then gives A and B as many rupees as each then has. If each finally has 16, with how many rupees does A start?

Iqbal dealt some cards to Mushtaq and himself from a pack of playing cards and laid the rest aside. Iqbal then said to Mushtaq, "If you give me a certain number of your cards, I will have four times as many cards as you have. If I give you the same number, of cards, I will have thrice as many cards as you. How many cards did Iqbal have?

While out on picnic, a group of boys came upon an apple tree. One of the boys climbed the tree and picked enough apples for each boy to have three, with none left over. Then along came three boys, making it impossible to divide the picked apples evenly. However, after picking one more apple and adding it to the total, every boy had two apples, with none left over. How many apples were finally divided?

A teacher bought a certain number of friendship bands for the students in the classroom for Friendship Day celebrations. Each student gives a friendship hand to every other student. However, on the Friendship Day, 2 students were absent as a result of which 122 friendship bands were not utilized. But one out of the two absent students came late. Find the number of friendship bands which finally remained unutilized.

Reena bought chocolates to distribute among her friends on her 18th birthday. If she gives 3 chocolates to each friend, one friend will get only 2 chocolates. Also, if she gives 2 chocolates to each friend, she will be left with 15 chocolates. How many chocolates did she buy?

A certain organization has three committees. Only two persons are members of all committees, but every pair of committees have three members in common. What is the least possible number of members on any one committee?

In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored 1850, what is the least possible difference between m and n?

A school has to buy at least 15 chairs within a budgetary ceiling of Rs.2000. A chair with arms costs Rs.160 and one without arms costs Rs.100. what is the maximum number of chairs with arms that the school can buy?

On Monday, a certain animal shelter housed 55 cats and dogs. By Friday, exactlyof the cats and of the dogs had been adopted; no new cats or dogs were brought to the shelter during this period. What is the greatest possible number of pets that could have been adopted from the animal shelter between Monday and Friday?