MAT 2003

Instructions

For the following questions answer them individually

Question 71

A dairyman pays Rs. 6.4 per liter of milk. He adds water and sells the mixture at Rs. 8 per liter, thereby making 37.5% profit. The proportion of water to milk received by the customers is

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Question 72

Wheels of diameters 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposit directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is

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Question 73

What is the eighth term of the sequence 1, 4, 9, 16, 25, ...........?

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Question 74

A bicycle originally costs Rs 100 and was discounted 10%. After three months it was sold after being discounted 15%. How much was the bicycle sold for?

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Question 75

$$\left(\frac{1}{2}\right) \log_{10} 25 - 2\log_{10} 3 + \log_{10} 18$$ equals

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Question 76

A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of $$2 : 3 : 4$$. The number of 50 paise coins is

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Question 77

The length of the longest rod that can be placed in a room which is 12 m long 9 m broad and 8 m high is

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Question 78

Two trains of equal length are running on parallel lines in the same direction at 46 km and 36 km per hr. The faster train passes the slower train in 36 sec. The length of eachtrain is

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Question 79

The remainder when 784is divided by 342 is

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Question 80

In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race?

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