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Q #26
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AIMCAT Quants Question


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If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?
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Zero will be remainder because 17 is also a multiple of 85.

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Q #27
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AIMCAT Quants Question


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If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:
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let the numbers = 9, 6
= 9 x 3 –6 x 3 = 9

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Q #28
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AIMCAT Quants Question


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When a local train travels at a speed of 60kmph, it reaches the destination on time. When the same train travels at speed of 50kmph, it reaches its destination 15 minutes late. What is the length of journey?
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Sol- let the time taken by a train to reach destination at 60kmph is x. Then it takes (x+15) at 50kmph. So distance, 60x=50(x+15) X=75…option (a) is correct.

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Q #29
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AIMCAT Quants Question


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Given that the interest is only earned on principal, if an investment of Rs.1000.00 amount to Rs.1440.00 in two years, then what is the rate of interest earned?
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1000(1+r/100)2=1440 So the answer is 20%.

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Q #30
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AIMCAT Quants Question


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A written exam consists of 6 questions with the answer options as yes/no/none. In how many ways can the examinees select the answers?
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Since every question have 3 option to select so In 36 ways the examiners select the answers.

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