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Microsoft Placement Papers with Solution Page 5

(#M40007995) MICROSOFT QUESTION analytical Keep an EYE

Imagine you are standing in front of a mirror, facing it. Raise your left hand. Raise your right hand. Look at your reflection. When you raise your left hand your reflection raises what appears to be his right hand. But when you tilt your head up, your reflection does too, and does not appear to tilt his/her head down. Why is it that the mirror appears to reverse left and right, but not up and down?

Asked In Microsoft (13 years ago)

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(#M40007994) MICROSOFT QUESTION analytical Keep an EYE

How many points are there on the globe where by walking one mile south, one mile east and one mile north you reach the place where you started.

Asked In Microsoft (13 years ago)

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(#M40007993) MICROSOFT QUESTION analytical Keep an EYE

Given a rectangular (cuboidal for the puritans) cake with a rectangular piece removed (any size or orientation), how would you cut the remainder of the cake into two equal halves with one straight cut of a knife ?

Asked In Microsoft (13 years ago)

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(#M40003608) MICROSOFT QUESTION Keep an EYE

You have eight balls all of the same size. 7 of them weigh the same, and one of them weighs slightly more. How can you fine the ball that is heavier by using a balance and only two weighings?

Asked In Microsoft kiran kumar reddy (14 years ago)

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(#M40003607) MICROSOFT QUESTION what happens? Keep an EYE

Every man in a village of 100 married couples has cheated on his wife. Every wife in the village instantly knows when a man other than her husband has cheated, but does not know when her own husband has. The village has a law that does not allow for adultery. Any wife who can prove that her husband is unfaithful must kill him that very day. The women of the village would never disobey this law. One day, the queen of the village visits and annoces that at least one husband has benn unfaithful. What happens?

Asked In Microsoft kiran kumar reddy (14 years ago)

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(#M40000213) MICROSOFT QUESTION Keep an EYE

Suppose you had 8 billiard balls, and one of them was slightly heavier, but the only way to tell was by putting it on a scale against another. What's the fewest number of times you'd have to use the scale to find the heavier ball?

Asked In Microsoft Naveen (14 years ago)

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(#M40000218) MICROSOFT QUESTION Keep an EYE

One train leaves Los Angeles at 15mph heading for New York. Another train leaves from New York at 20mph heading for Los Angeles on the same track. If a bird, flying at 25mph, leaves from Los Angeles at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled?

Asked In Microsoft Naveen (14 years ago)

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(#M40000211) MICROSOFT QUESTION Keep an EYE

There are 4 women who want to cross a bridge. They all begin on the same side. You have 17 minutes to get all of them across to the other side. It is night. There is one flashlight. A maximum of two people can cross at one time. Any party who crosses, either 1 or 2 people, must have the flashlight with them. The flashlight must be walked back and forth, it cannot be thrown, etc. Each woman walks at a different speed. A pair must walk together at the rate of the slower woman's pace.

Woman 1: 1 minute to cross
Woman 2: 2 minutes to cross
Woman 3: 5 minutes to cross
Woman 4: 10 minutes to cross

For example if Woman 1 and Woman 4 walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Woman 4 then returns with the flashlight, a total of 20 minutes have passed and you have failed the mission. What is the order required to get all women across in 17 minutes? Now, what's the other way?

Asked In Microsoft Naveen (14 years ago)

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(#M40000210) MICROSOFT QUESTION Keep an EYE

If you have two buckets, one with red paint and other with blue paint, and you take one cup from the blue bucket and pour it into the red bucket. Then you take one cup from the red bucket and pour it into the blue bucket. Which bucket has the higher ratio between red and blue? Prove it mathematically.

Solution

let volume of paint in bucket=10 liter
volume of cup = 1 liter
bucket A= red paint
Bucket B= Blue paint
after step 1=> Bucket A= 11 liter = 10 liter red + 1 liter blue
Bucket B= 9 liter blue

now 1 liter of bucket A= 1/11 liter blue and 10/11 red

after step 2=> Bucket A= 10 liter=100/11 red +10/11 blue
red/blue= 10/1

Bucket B= 10 liter
= 9 liter blue+1/11 blue +10/11 red
= 100/11 blue + 10/11 red .
red/blue = 1/10
so ratio of red/blue is (10/1) higher in first bucket of red paint than the ratio of red /blue (1/10) in second bucket
This answer is given by ANKIT and is correct answer

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Asked In Microsoft Naveen (14 years ago)

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(#M40000209) MICROSOFT QUESTION Keep an EYE

You have a bucket of jelly beans. Some are red, some are blue, and some green. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same?

Asked In Microsoft Naveen (14 years ago)

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