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Q #61
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AIMCAT Quants Question


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Varun is guessing which of the two hands hold a coin. What is the probability that varun guesses correctly 3 times in a row?
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Probability of guessing correctly = 1/2 So required probability = 1/2*1/2*1/2 = 1/8

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Q #62
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AIMCAT Quants Question


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What is the probability of getting an odd sum of score in a throw of 2 dice?
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The sum will be odd of combination of odd and even comes that is

Odd even or even odd = 1/2*1/2 +1/2 *1/2 = 1/4+1/4 = 1/2



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Q #63
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AIMCAT Quants Question


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How many litres of a 90% solution of concentrated acid needs to be mixed with the 75% solution of concentrated acid to get a 30 L solution of 78% concentrated acid?
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Using Alligation Rule ratio must be 90-78 : 78-75

That is 12:3 => 4:1 So 4 part out of 5 must be of 90% concentrated acid

= 4/5 of 30 = 24 L



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Q #64
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AIMCAT Quants Question


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If a shopkeeper earns Rs 400 a day when it’s weekend and Rs 300 when it’s working day. What should be his earning expectation if the probability of its weekend is 0.6?
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If chance is 60% means his earning expectation must also be 60/100 of 400 = 240

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Q #65
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AIMCAT Quants Question


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If the HCF and LCM of two numbers are 1 and 76 respectively. The square of one number is 361. Find the other number.
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We know LCM*HCF=a*b

76*1=a*b

As given a2=361

a=19

76=19b

b=76/19

b=4



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