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Old 09-05-06, 02:44 PM   #1 (permalink)
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1. From a vessel, 1/3rd of the liquid evaporates on the first day.

On the second day 3/4th of the remaining liquid evaporates.

What fraction of the volume is present at the end of the second

day.



2. An orange glass has orange juice and white glass has apple juice

both of equal volumes.

50ml of the orange juice is taken and poured into the apple juice.

50ml from the white glass is poured into the orange glass.

Of the two quantities, the amount of apple juice in
the orange glass and the amount of orange juice
in the white glass,which one is greater and by how much?



3. There is a 4 inch cube painted on all sides. This is cut down into of 1 inch cubes.

What is the no of cubes which have no pointed sides.



4. Sam and Mala have a conversation.

Sam says I am certainly not over 40

Mala says I am 38 and you are atleast 5 years older than me

Now Sam says you are atleast 39

All the statements by the two are false.

How old are they really?



5. In a railway station, there are two trains going. One in the
harbour line and one in the main line, each having a frequency of 10
minutes.

The main line service starts at 5 o'clock and the harbour line starts at 5.02A.M.

A man goes to the station every day to catch the first train that comes.

What is the probability of the man catching the first train?


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Old 10-05-06, 07:42 AM   #2 (permalink)
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5. In a railway station, there are two trains going. One in the
harbour line and one in the main line, each having a frequency of 10
minutes.

The main line service starts at 5 o'clock and the harbour line starts at 5.02A.M.

A man goes to the station every day to catch the first train that comes.

What is the probability of the man catching the first train?


Ans: the probability is 1/8

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Old 10-05-06, 08:02 AM   #3 (permalink)
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1. From a vessel, 1/3rd of the liquid evaporates on the first day.

On the second day 3/4th of the remaining liquid evaporates.

What fraction of the volume is present at the end of the second

day.

Ans: 1/6rd of original liquid...
Sol:
at the end of 1st day 2/3 remaining...
at the end of 2nd day 1/2 of the liquid get evaporated..

Remaining 1-(1/2+2/3)=1-5/6=1/6

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Old 10-05-06, 08:06 AM   #4 (permalink)
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3. There is a 4 inch cube painted on all sides. This is cut down into of 1 inch cubes.

What is the no of cubes which have no pointed sides.

Ans: 4 cubes....

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But by the inch,
It\'s the cinch....


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