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Q #76
:

AIMCAT Quants Question


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What is the smallest number that should be multiplied to 12348 to make it a perfect square?
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Factors of 12348= 2*2*3*3*7*7*7

Hence, 7 must be added to make it a perfect square.



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Q #77
:

AIMCAT Quants Question


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The number of 5-digit odd numbers that can be made from number 12345 are:
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Last place can be filled by only 3 ways,

Rest places can be filled using (4X3X2X1X1)X3= 72



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Q #78
:

AIMCAT Quants Question


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A shopkeeper had initially marked his goods up by 40%. What is the maximum discount that he can offer on the new marked price so that he ends up selling at no profit and no loss?
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Let CP = 100, Mp= 140,

Now Sp = 100 i.e. MP- Discount = 100

140- D= 100, D= 40,

(40/140)100 = 28.57%



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Q #79
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AIMCAT Quants Question


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What is the highest power of 2 in the following expression?

1800 x 25 x 48 x 212 x 45-2


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1800=8*25*9 = 23*25*9

4^8=2^16

So Net power= 2^19



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Q #80
:

AIMCAT Quants Question


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Which of the following is true for the value of 0.999…..?
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It is less than 1.

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