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Q #31
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AIMCAT Quants Question


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What will be the value of the expression a8/3 * a-6/9 ?
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if bases are equal we have to add powers a8/3-6/9 a18/2=a2 .

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Q #32
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AIMCAT Quants Question


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Mauli purchased a designer saree from Mumbai at 8/9th of its MRP. When she came back to Delhi, her neighbour coaxed mauli to sell the saree to her. She was even ready to pay 9% more than its MRP. What would Mauli’s gain percentage be, if she decides to sell the saree to her neighbour?
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assume that MRP rate =100 cost prize = 800/9 selling prize=(100*9/100)+100 =109 sp=(100+gain%/100)cp 109 =((100+gain%)/100)800/9 By solving above equation we get gain=181/8 =22.65%

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Q #33
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AIMCAT Quants Question


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Probability of one of the power plants over heating is 0.15 per day and the probability of failure of the backup cooling system is 0.11. if these events are independent, what is the probability of ‘big trouble’ (i.e., both events taking place)?
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Both are independent event hence Required probability = (0.15)(0.11) = 0.0165

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Q #34
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AIMCAT Quants Question


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A vendor bought 15 oranges at Rs. 36 for 5 oranges and sold all of them at four oranges for Rs. 45. How much did the vendor earn or loose in this transaction?
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Vender bought 15 oranges,5 oranges are rs.36 so 15 oranges cost rs.108.
Now the vender selling it at rs.45 for 4 oranges. So each orange cost 11.25.
The selling price of 15 oranges is rs. 168.75. Hence the difference between the cost price and selling price is 60.75 hence 15 oranges he gained 60.75 rupees. So for one orange he got 4.05 gain.

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Q #35
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AIMCAT Quants Question


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A team P of 20 engineers can complete a task in 32 days. Another team Q of 16 engineers can complete the same task in 30 days. Then the ratio of working capacity of 1 member of P to that of a member of Q is:
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20P*32 = 16Q*30 2P * 2 = Q*3 P/Q = 3/4

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