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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#3001 2011-08-19 23:55:28

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The

The solution #3156 is correct. Well done!

#3157. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B, and C work together, in how many days would they complete the work?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3002 2011-08-20 00:10:36

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3003 2011-08-20 00:41:03

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solution #3157 is correct. Good work!

#3158. A sum was invested at simple interest at a certain rate for 3 years. Had it been invested at 2% higher rate, it would have fetched $360 more. Find the sum.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3004 2011-08-20 01:05:15

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3005 2011-08-20 17:06:06

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solution #3158 is correct. Well done!

#3159. Find the length of a rope by which a cow be tethered in order that it may graze an area of 9856 square meters.

#3160. The inner circumference of a circular track, 14 meters wide, is 440 meters. Find the radius of the outer circle.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3006 2011-08-20 17:18:49

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;

Based on the problems it looks like you want pi = 22 / 7. I solved them without that condition. If you want them solved with p = 22 / 7 let me know.



In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3007 2011-08-20 22:02:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solutions #3159 and #3160 are correct. Excellent!

I got the solutions 56 meters and 84 meters using

. Henceforth, I shall let you know what value of
is to be adopted.

#3161. If the radius of a circle is decreased by 50%, find the percentage decrease in its area.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3008 2011-08-20 22:21:00

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3009 2011-08-21 00:25:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solution #3161 is perfect. Well done!

#3162. A person invests $1,100 at 8% per annum and $1,500 at 10% per annum, both at simple interest. What is the total amount of interest at the end of 3 years on both the investments taken together?

#3163. Mani started a business investing $80,000. Six months later, Remo joined him with his capital of $140,000. If at the end of one year, the total profit is $37,500, what is the share of Remo in it?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3010 2011-08-21 00:28:17

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3011 2011-08-21 01:15:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solution #3163 is correct. Well done!

#3164. What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3012 2011-08-21 02:54:05

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3013 2011-08-21 23:20:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solution #3164 is correct. Well done!

#3165. A man is standing on a railway bridge which is 180 meters long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.

#3166. A train 150 meters long is running with a speed of 68 km/hour. In what time would it pass a man who is running at 8 km/hour in the same direction in which the train is going? (In seconds)


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3014 2011-08-22 00:35:33

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3015 2011-08-22 21:19:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solutions #3165 and #3166 are correct. Brilliant!

#3167. An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3½ hours to fill the tank. If the tank is full, how much time will the leak take to empty it?

#3168. Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are opened simultaneously, after how much time B be closed so that the tank is full in 18 minutes?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3016 2011-08-22 21:35:49

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: 10 second questions

hi ganesh


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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#3017 2011-08-22 23:54:15

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3018 2011-08-23 00:32:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi anonimnystefy and bobbym,

The solutions #3167 and #3168 are correct, bobbym! Excellent!

The solution #3167 is correct, anonimnystefy! Well done!

#3169.

of a pole is colored red,
white,
blue,
black,
violet,
yellow and the rest is green. If the length of the green portion of the pole is 12.08 meters, then find the length of the pole.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3019 2011-08-23 00:47:50

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3020 2011-08-23 01:39:25

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,049

Re: 10 second questions

hi ganesh


“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline

#3021 2011-08-23 16:13:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym and anonimnystefy,

The solution #3169 is correct. Excellent!

#3170. The ratio between the present ages of P and Q is 6:7. If Q is 4 years older than P, what would be the ratio of the ages of P and Q after 4 years?

#3171. The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2, what is the total  of P's and Q's present ages?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3022 2011-08-23 16:51:03

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3023 2011-08-23 23:09:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solutions #3170 and #3171 are correct. Brilliant!

#3172. Express two-third of one-fourth of $25.20 as a fraction of 150% of $36.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#3024 2011-08-24 02:04:55

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: 10 second questions

Hi ganesh;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3025 2011-08-24 17:05:15

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,385

Re: 10 second questions

Hi bobbym,

The solution #3172 I get

.

#3173. A waiter's salary consists of his salary and tips. During one week his tips were

of his salary. What fraction of his income came from tips?

#3174. A sum of $1360 has been divided among A, B, and C such that A gets

of what B gets and B gets
of what C gets. What is B's share?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

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