Many food producs are available in the market in tin cans. Rakesh went to the buy tinned cans of a food product. The shopkeeper gave him a can which had scratches, though it had been recently packed. Rakesh did not buy that can.
How do you agree with Rakesh's decision?

A man went door to door posing as a goldmith he promised to bring back the glitter of old and dull gold oranments an unsuspecting lady gave a set of gold bangles to him which he dipped in a particular solution the bangles sparkled like new but their weight was reduced drastically the lady was upset but after a futile argument the man beat a hasty retreat can you play the detective to find out the nature of the solution he had used?

A company sells two different products A and B. The two products in a common production process which has a total capacity of 500 man hours. It takes 5 hours to produce a unit of A and 3 hours to produce to unti of B. the demand in the market shows that the maximum number of unit of A that can be sold is 70 that for B is 125. Profit on each unit of A is Rs.20 and that on B is Rs.15. How many units of A and B should be produced to maximize the profit? solve it graphically.

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 dolls of type B is at most 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 at most 600 units. If the company makes profit of Rs 12 and 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 soft drink is available in two packs – (i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much? Assume pi = 22/7 , unless stated otherwise.

You have heard about serveral insectivorous plants that feed on insects. Nepenthes or the pitches plant is one such example. Which usually grows in shallow water or in marsh lands. What part of the plant os modified into a 'pitcher'? How does this modification help the plant for food even though it can photosynthesize like any other green plant?