How can the manufacturer find the faulty machine in only two weighings?

43.  Squares and Right Angles

Can you make 2 squares and 4 right-angled triangles using only 8 straight lines?

44.    The Dishonest Merchant

An unscrupulous trader decided to make some extra profit on coffee. He bought one type of coffee powder at Rs.32 a kilo and mixed some of it with a better quality of coffee powder bought at Rs.43 a kilo. That gave him a profit of 25 per cent on the cost.

How many kilos to each kind must he use to make a blend of a hundred kilos weight?

45.     For the Charities

One day when I was walking on the road in New Delhi, a group of boys approached me for donation for their poor boys fund. I gave them a rupee more than half the money I had in my purse. I must have walked a few more yards when a group of women approached me for donation, for an orphanage. I gave them two rupees more than half the money I had in my purse. Then, after a few yards I was approached by a religious group for a donation to the temple they were building. I gave them three rupees more than half of what I had in my purse.

At last when I returned to my hotel room, I found that I had only one rupee remaining in my purse.

How much money did I have in my purse when I started?

46.    The Number Game

The product of three consecutive numbers when divided by each of them in turn, the sum of the three quotients will be 74.

What are the numbers?

47.    The Sari and the Blouse

I brought a sari and a blouse for Rs.110 at the new Market. The sari cost Rs.100 more than the blouse, how much does the sari cost?

48.  When was he Born?

Some months back, this year, I was walking through the Central Park in New York.

I saw an intelligent looking little boy playing all by himself on the grass. I decided to talk to him and just as an excuse to start the conversation I asked him his age. A mischievous glint flickered in his eyes and he replied, ‘Two days back I was ten years old, and next year I shall be thirteen. If you know what’s today, you’ll be able to figure out my birthday and that’ll give you my age.’ I looked at him bewildered.

How old was the boy?

49.  The Weight of the Block

A cement block balances evenly on the scales with three quarters of a pound and three  quarters of a block.

What is the weight of the whole block?

50.  Lucrative Business

Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs.2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years.

How much did they have in all at the end of eighteen years.

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