Puzzles

P 20
An obese man is advised by his doctor to limit his calorie intake to an accurate 300 per day. Each fruit listed below with its calorie value, costs one rupee a piece. The man can afford to spend only Rs.20 per week.
Fruit      Pine apple   Mango   Papaya   Peach   Apple   Guava   Banana
Calorie  175                150         125          100       75           50         25
Plan out a weekly dieting programme for him
(i) Without repetition of any combination of two or more fruits
(ii) Allowing him to enjoy at least two fruits of each type in the entire week.
(iii) Allowing him to taste at least two different varieties, but not allowing him to take more than a total of three fruits on any day.


P 19   0769
There are three temples in a village. Each temple has an adjoining well. There is also a garden nearby. One morning the priest came to offer flowers to the three deities. He collected some flowers from the garden and dropped them in the first well ; the flowers doubled. He offered some to the first deity, then moved to the second temple and dropped the remaining flowers in the well there. The flowers trebled. He offered some to the second deity and moving to the third temple, dropped the rest in to the well. This time the flowers quadrupled. He offered all the flowers to the third deity. Each deity had received the same number of flowers and in the end the priest had no flowers left.
How many flowers did he pluck from the garden and how many did each deity receive ?