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Q #46
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AIMCAT Quants Question


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A man earns 24,000 per month. He spends one-third of his income on personal expenditure. Half of the remaining income is invested in a scheme for 15% interest per annum. After investing half of the remaining income is invested in a scheme which gives 10% income per annum. The remaining lies in a bank where it earns an interest of 4% per annum. The effective rate of interest earned by the man on his investments by the end of the year is?
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amount remaining= 24000-24000/3=16000 1. 16000/2=8000 SI=PRT/100=8000*15*1/100=1200 2. 8000/2=4000 SI=4000*10*1/100=400 3. 4000 SI=4000*4*1/100=160 adding total interest=1200+400+160=1760 SI=PRT/100 1760=16000*R*1/100 Solving this R=11%

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Q #47
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AIMCAT Quants Question


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(1.0816)1/2=?
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It written as square root of 1.0816 By trail method, check all options Like 1.04 * 1.04 1.0816

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Q #48
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AIMCAT Quants Question


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The value of p in log12144p = 3 is
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Removing log using property 144p = 12*12*12 => p = 12

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Q #49
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AIMCAT Quants Question


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The sum of squares of 3 numbers is 170, while the sum of their products taken two at a time is 157.What is the sum of the numbers?
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a2+b2+c2=170, ab+bc+ca=157 (a+b+c) 2=a2+b2+c2+2(ab+bc+ca) =170+2(157) =484 (a+b+c)=22

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Q #50
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AIMCAT Quants Question


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A cistern can be filled by two pipes A and B in 10 and 15 hours respectively and is then emptied by a tap in 8 hours. If all the taps are opened, the cistern will be fill in:
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Time takes to fill the tank, if all pipes are opened = (1/10 )+(1/15) -(1/8) =(5/120) =1/24 i.e., 24 hrs to fill the tank

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