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Q #16
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AIMCAT Quants Question


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In how many ways can the digits 2,3,5,7 and 9 be placed to form a three digit number so that higher order digit is always greater than lower order digits? (Assume digits are all different)
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This can be done in 10 ways: 975, 973, 972, 953, 952, 932, 753, 752, 732, 532

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Q #17
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AIMCAT Quants Question


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Simplify: 0.3434……+ 0.696969……+ 0.8080 -0.4444………-0.333333………-0.07070…..
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Simplifying 34/99 +69/99 +80/99 -44/99 – 33/99 – 7 /99 we get 1 as answer.

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Q #18
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AIMCAT Quants Question


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A group is analyzing quality control problems. Suppose that the probability of a defective shape is 0.03 and the probability of a defective paint job is 0.06. What is the probability of a non-defective item?
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Probability of non-defective item=0.97*0.94=0.91 as both event are independent event.

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Q #19
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AIMCAT Quants Question


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A developed car in the workshop comprises of around 70 components. Each component has a probability of having a manufacturing error 0.015. What is the probability that this developed car will get rejected due to manufacturing error in any of the component?
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Probability of error = 0.015

Probability of no error = 1 – 0.015 = 0.985

For 70 components, the probability of no error = (0.985)70

Thus, the probability of rejection = 1 – (0.985)70



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Q #20
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AIMCAT Quants Question


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4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours?
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4 men can complete the work in 7 hours.

1 man will complete the work in (4*7) 28 hours.

28 hours are taken by 1 man to complete the work.

1 hour will be taken by 28 men to complete the work.

And to complete the same work in 2 hours, 14 men will be needed.

Alternatively,

Recall the formula: M1*T1 = M2*T2

4 * 7 = M2 * 2

M2 = 14 men.



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