MAT 2009 Question Paper

Instructions

For the following questions answer them individually

Question 61

A train 300 m long is running at a speed of 90 km/h. How many seconds will it take to cross a 200 m long train running in the opposite direction at a speed of 60 km/h ?

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Question 62

Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.

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Question 63

Three pipes are made of different shapes. The corss-sections of the pipes are an equilateral triangle, a hexagon and a circle. The perimeter of each of these cross-sections is equal. The flow through the pipes is proportional to the area of cross-section. If it takes 8 min for the triangular pipe to fill up the tank, what will be the difference in the times taken by the hexagonal and circular pipes?

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Question 64

An iron cube of size 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet be in the ratio 1 : 5, then the sides are

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Question 65

A portion of a 30 m long tree is broken by a tornado and the top strikes the ground making an angle of $$30^\circ$$ with the ground level. The height of the point where the tree is broken is equal to :

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Question 66

Fresh grapes contain 80 percent water while dry grapes contain 10 percent water.If the weight of dry grapes is 250 kg what was its total weight when it was fresh?

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Question 67

A dealer buys dry fruit at the rate of Rs 100, Rs 80 and Rs 60 per kg. He bought them in theratio 12 : 15 : 20 by weight. He in total gets 20% profit by selling the first two and at last he finds he has no gain no loss in selling the whole quantity which he had. What was the percentage loss he suffered for the third quantity?

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Question 68

A man sitting in train travelling at the rate of 50 km/h observes that it takes 9 s for a goods train travelling in the opposite direction to pass him.If the goods train is 187.5 m long,find its speed

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Question 69

Amit Kumar got a 4-digit pass code (which is formed out of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) of his ATM card from ICICI Bank. But after the 50th day he lost the pass code and also forgot the number. How many maximum number of trials may he have to take to get the right number? 0 can be the beginning of the code number

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Question 70

The length of a ladder is exactly equal to the height of the wall it is leaning against. If the lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is

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