MAT 2013 Question Paper

Instructions

For the following questions answer them individually

MAT 2013 - Question 51


A cylindrical tub of radius 12 cm contains water up to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. The radius of the ball is

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MAT 2013 - Question 52


What per cent selling price would be 34% of the cost price if the gross profit is 26% of the selling price?

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MAT 2013 - Question 53


The present worth of a bill due 7 months hence is 1200. If the bill were due at the end of 2 $$\frac{1}{2}$$yr, Its present worth would be Z 1016. What is the rate per cent of the bill?

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MAT 2013 - Question 54


If the ages of P and R are added to twice the age of Q, the total becomes 59. If the ages of Q and R are added to thrice the age of P, the total becomes 68 and if the age of P is added to thrice the age of Q and thrice the age of R, the total becomes 108. What is the age of P?

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MAT 2013 - Question 55


If 6 years are subtracted from the present age of Shyam and the remainder is divided by 18 , then the present age of his grand son Anup is obtained. If Anup is 2 years younger to Mahesh whose age is 5 years, then what is the age of Shyam?

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MAT 2013 - Question 56


There are two concentric circular track of radii 100m and 102m, respectively . A runs on the inner track and goes once round in 1 min 30 sec, while B runs on the outer track in 1 min 32 sec. Who runs faster?

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MAT 2013 - Question 57


A man reaches his office 10 minutes late if he drives his car at 40 kmph, and 5 minutes early if he drives his car at 50 kmph from his home. How should I calculate the distance of his office from his home?

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MAT 2013 - Question 58


Out of 20 consecutive positive integers, two are chosen at random. The probability that their sum is odd is

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MAT 2013 - Question 59


Two coal loading machines, each working 12 h per day for 8 days, handle 9000 tonne of coal with an 1 efficiency of 90%, while 3 other coal loading machines at an efficiency of 80% are set to handle 12000 tonne of coal in 6 days. How many hours per day should each machine work?

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MAT 2013 - Question 60


Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 h and each outlet pipe can empty the tank in 6 h. On opening all the pipes, an empty tank is filled in 9 h. The number of inlet pipes is

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