A mother devides Rs. 207 into three parts such that the amount are in A.P. and gives it to her three children . The product of the two least amounts that the children had Rs. 4623. Find the amount received by each child.

Split 69 in three parts such that they are in A.P. and product of two smaller parts is 483.

A teacher takes three children from her class to a zoo at a time, but she does not take the same three children to the zoo more than once. She finds that she went to the zoo 84 times more than a particular child has gone to the zoo. The number of children n her class is a. 12 b. 10 c. 60 d. none of these

Find the amount received when 300 shares of FV Rs 100 , were sold at a discount of Rs 30

A businessman bought some items for Rs. 600. Keeping 10 items for himself he sold the remaining items at a profit of Rs. 5 per item. From the amount received in this deal he could buy 15 more items. Find the original price of each item.

Column I, Column II The number of five-digit numbers having the product of digit 20 is, p. > 70 A closest has five pairs of shoes. The number of ways in which four shoes can be drawn from it such that there will be no complete pair is, q. <60 Three ladies have each brought their one child for admission to a school. The principal wants to interview the six persons one by one subject to the condition that no mother is interviewed before her child. The number of ways in which interview can be arranged is, r. in (50 ,110) The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is, s. in (40 ,70)

A toy company manufactures two types of dolls, A and B. Market tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for detts of type B is utmost half of that for dolls of type A. Further, the production level of dolls of type A can exceed three times the production of dolls of other type by utmost 600 units . If the company makes profit Rs 12 Rs. 16 per doll respectively on dolls a and B, how many of each should be produced weekly in order to maximise the profit ?

A medicien company has factories at two places A and B. From these places, supply is made to each of its three agencies situated at P,Q and R. The monthly requirements of the agencies are respectively 40,40 50 packets of its medicines, while the production of the factories at A and B are 60 and 70 packets respectively. The transportation cost (in Rs) per packet from the factories to the agencies are given below. Formulate the linear programming problem so that the cost of transportation is minimum .