MAT 2013 Question Paper

Instructions

For the following questions answer them individually

Question 61

A student purchased a computer system and a colour printer. If he sold the computer system at 10% loss and the colour printer at 20% gain, ho would not lose anything. But if he sells the computer system at 5% gain and the colour printer at 15% loss, he would lose 2 800 in the bargain. How much did he pay for the colour printer?

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Question 62

Suppose that a maximum of 25 g of salt dissolves in 100 g of water. Any more salt, if added, remains undissolved and a sediment falls at the bottom. Now, water is evaporated from 1 kg of a 4% solution at the rate of 28 g per hour. After how long will it start sedimenting, approximately?

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Question 63

In a defective 6 faced die with numbers 1 to 6 inscribed,probability of odd is 2 times that of even. What is the probability to gt number 5 in single throw?

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Question 64

Out of the total production of iron from hematite, an ore of iron, 20% of the ore gets wasted. Out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80000 kg, then the quantity of hematite mined in the year is

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Question 65

A car driver, driving in a fog, passes a pedestrian who was walking at the rate of 2 km/h in the same direction. The pedestrian could see the car for 6 min and it was visible to him up to a distance of 0.6 km. What was the speed of the car?

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Question 66

A, B and C working together completed a job in 10 days. However, C only worked for the first three days when 37/100 of the job was done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to comlete the entire work?

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Question 67

Three different containers contain differeose nt quantities of a mixture of milk and water, wh measurements are 403 kg, 434 kg and 465 kg. What biggest measure must be there to measure all the different quantities exactly?

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Question 68

A conical tent is 5m high and the radius of the base of 12m find the slant height if the cost of 1m square canvas is rs 70 find the cost of canvas required to make the tent

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Question 69

At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is $$\frac{5}{12}$$. On walking 192 m towards the tower, the tangent of the angle of elevation is $$\frac{3}{4}$$. The height of the tower is

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Question 70

In a medical certificate, by mistake a candidate gave his height as 25% more than actual. In the interview panel, he clarified that his height was 55 ft 5 inches. What is the percentage correction made by the candidate from his stated height to his actual height?

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