MAT 2009 Question Paper

Instructions

For the following questions answer them individually

Question 71

If three equal cubes are placed adjacently in a row, then the ratio of the total surface area of the new cuboid to that of the sum of the surface areas of the three cubes will be

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Question 72

The Qutab Minar casts a shadow 150 m long at the same time when the Vikas Minar casts a shadow 120 m long on the ground. If the height of the Vikas Minar is 80 m, find the height of the Qutab Minar.

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Question 73

Due to global recession Starting in January, Ram’s monthly salary of Rs 8000 was cut by 10%. The monthly expenses which were Rs 6000, increased at the rate of 5% per month. Since which month will he have no savings if the recession lasted for a year?

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Question 74

An oil refinery takes 100 L of crude oil as input and after refining for 1 hour gives certain amount of output oil X litres. This can be sold in the market at a profit of Rs 30/L. If this oil is further refined for $$\frac{1}{2}$$ h it gives oil Y litre. This can be sold at a profit of Rs. 50/L. Output and input ratio at both the stages is 90%. The maximum amount that can't be earned from 1000 L of crude input is

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Question 75

The radius of a cylinderical cistern is 10 m and its height is 15 m. Initially the cistern is empty. We start filling the cistern with water through a pipe whose diameter is 50 cm. Water is coming out of the pipe with a velocity of 5 m/s. How many minutes will it take in filling the cistern with water?

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Question 76

If $$m$$ and $$n$$ are natural number such that $$2^m - 2^n = 960$$, what is the value of $$m$$?

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Question 77

If an angle of a triangle remain unchanged but each of its two including sides is doubled then by what factor does the area get multiplied?

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Question 78

A number when divided by 765 leaves a remainder 42. What will be the remainder if the number is divided by 17?

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Question 79

If 11, 109, 999 is divided by 1111, then what is the remainder ?

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Question 80

A mixture (40 L) contains coniac and water in the ratio $$3 : 1$$. To make the ratio $$5 : 2$$. How much additional amount of water is required?

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