# Math Questions

Discussion in 'DAT Discussions' started by Ferdowsi, Jun 19, 2008.

1. ### Ferdowsi 2+ Year Member

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I have couple questions.

1. an empty bottle weighs one tenth of its filled weight. if the bottle is partially filled so that it weighs on half of it's filled weight. what fraction of bottle is filled?

2. what is the number of degree in the angle formed by minute and hour hands of a clock at 4:50?

( what i did for question two i said there is 12 pieaces and divide the 360 and got 3o for each pieace. i said lets assume that at 3 oclock the angle is 90 .adding each part i concluded that it should be less than 150 but

3. there is a lock that has three spot contains digit.each spot has number from one thru 5. How many of possible setting will not open the lock?..
I hate this type of questions.

2. ### Bruinlove 5+ Year Member

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1. an empty bottle weighs one tenth of its filled weight. if the bottle is partially filled so that it weighs on half of it's filled weight. what fraction of bottle is filled?
9/10 = full water, 1/2 = 1/10 + filled water, filled water = 2/5, fraction =(2/5)/(9/10)= 4/9

2. what is the number of degree in the angle formed by minute and hour hands of a clock at 4:50?

angle X btw numbers = 360/12 = 30, # of this angle X at 4:50 = 7 - (1/6), interior angle = 30 * (41/6) = 205, exterior = 360-205 = 155

3. there is a lock that has three spot contains digit.each spot has number from one thru 5. How many of possible setting will not open the lock?..
I hate this type of questions.

# of possible setting = 5*5*5 = 125, # of possible setting that opens = 1,
# of possible setting that will not open = 125 -1 = 124

3. ### Simiam 5+ Year Member

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I don't understand how you did this... Is the questions asking:

What is the angle formed by the minute and hours hands of a clock at 4:50?

That would be easy because the hour hand would be at the 4 and the minute hand at the 10 (50). They are directly across from each other so it is a 180degree angle. What am I missing?

4. ### Bruinlove 5+ Year Member

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The hour hand won't be exactly at either 4 or 5. It will be at 1/6 of 30 degrees from 5.

5. ### futuredent22 5+ Year Member

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If its at 1/6 of 30 degrees from 5, thats 5 degrees from 5. If the short hand is 5 degrees from 5, than shouldn't the answer by 180 minus 5, so 175?

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7. ### Bruinlove 5+ Year Member

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If it's 5 degrees from 4, yeah it could be 175.
But, I said 5 degrees from 5.
I don't think 5 and 10 make a straight line to create 180.

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