MAT 2009 Question Paper

Instructions

For the following questions answer them individually

Question 41

A man received Rs. 12000 as Puja Bonus. He invested a part of it at 5% per annum and the remaining at 6% per annum, simple interest being allowed in each case. The total interest earned by him in 4 years is Rs. 2580. The sum invested at 5% per annum is

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Question 42

A finance company declares that, at a certain compound interest rate, a sum of money deposited by anyone will become 8 times in three years. If the same amount is deposited at the same compound rate of interest, then in how many years will it become 16 times?

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Question 43

In an examination, a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?

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Question 44

A boat man rows to a place 45 km distant and back in 20 hours. He finds that he can row 12 km with the stream in the same time as 4 km against the stream. Find the speed of the stream.

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Question 45

Two cyclists start on a circular track from a given point but in opposite directions with speeds of 7 m/s and 8 m/sec respectively. If the circumference of the circle is 300 m, after what time will they meet at the starting point?

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Question 46

In an objective examination of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions a student got a total of 387 marks. Find the number of questions that he attempted wrong.

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Question 47

Ram went to shop to buy 50 kg of rice. He buys two kinds of rice which cost him Rs. 4.50 per kg and Rs. 5.00 per kg. He spends a total of Rs. 240. What was the quantity of rice bought which cost him Rs. 4.50 per kg ?

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Question 48

Seema invested an amount of RS 16,000 for two years on compound interest and received an amount of Rs 17,640 on maturity. What is the rate of interest?

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Question 49

My Scooty gives an average of 40 km/L of petrol. But after recent filling at the new petrol pump, its average dropped to 38 km/L. I investigated and found out that it was due to adulterated petrol. Petrol pump add Kerosene, which is $$\frac{2}{3}$$ cheaper than petrol, to increase their profits. Kerosene generates excessive smoke and knocking and gives an average of 18 km per 900 ml. If I paid Rs. 30 for a liter of petrol, what was the additional amount the pump-owner was making?

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Question 50

A train after travelling 150 km meets with an accident and then proceeds at $$\frac{3}{5}$$ km of its former speed arrives at its destination 8 hours late. Had the accident occurred 360 km further, it would have reached the destination 4 hours late. What is the total distance travelled by the train?

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