RIDDLES -- Dimag ki batti jalao

loginrahul said:
o o o
o o o
o o o
how abt joining in 3 lines....
(extent ur imagination )
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from left infinity bring a line crossing the first row and now it will go to infinity again. Now ... from infinity bring it back and cross middle row. Now, the angle btwnn first and second line is Limits tends to 0... so we can assume both are almost parallel lines and so as the two rows ... same is for the last row :). Is this correct Rahul ?
 
anilsinghd said:
p2-1 = (p-1 )* (p+1).

now p is prime , so p shud be odd , hence , p-1 = even , p+1 = even , also one of p-1 , p+1 ( being consecutive even nos ) is divisible by 4.

so p2-1 is divisble by 8.


now , p being a prim e is either of form 3n +1 , or of form 3n+2 ==(modulo ) 3n-1.

so p2 = 9n2 +- 6n +- 1 ==(modulo ) 1 mod 3.

so p2-1 is divisible by 3.

now 3 and 8 are co-prime ( i guess correct terminology ! damn !! main yeh code karte krte maths bhoolta jaa raha hun :( ) , so p2-1 is divisible by 3*8= 24.
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Anil bhai very correct,
but to explain the 3 factor , u have used MODULO which is a bouncer for many people.
here it is for common school students
p - 1, p & p + 1 form three consecutive numbers. in any three consecutive numbers one will be a multiple of 3, we know it is not p which is a multiple of 3, as this is prime, hence either p - 1 or p + 1 is a multiple. Therefore p2 - 1 has the factors 2, 2, 2 & 3 hence:

p2 - 1 = 24n

(Why must p be greater than 3? 3 is the only number which is both a multiple of 3 and prime)
 
sanjeev_balyan said:
p - 1, p & p + 1 form three consecutive numbers. in any three consecutive numbers one will be a multiple of 3, we know it is not p which is a multiple of 3, as this is prime, hence either p - 1 or p + 1 is a multiple. Therefore p2 - 1 has the factors 2, 2, 2 & 3 hence:
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ahaan , nice one !!! short and easy! :)
 
Try this one

Once an intelligent JAT passed away and reached to the court of Dhramraj. After a short interview the Dharamraj gave him an offer to choose one door out of two similar doors. There was 'Heaven' behind one door and 'Hell' behind the other. There was one Darban sitting in front of each door. Those were also in similar make-up. It is learnt that the Darban of Heaven is never telling a lie and the Darban of Hell is never telling a truth. The JAT was willing to go to Heaven only. He planned to get some information from the Darbans. The JAT went to one Darban and asked him a question. The Darban told a door by gesture. Then the JAT went to the other Darban and asked him the same question. The second Darban also told him the same door by gesture. The JAT entered into the door other than told by Darbans and reached in Heaven.

Now you tell us how it became possible and what was the question asked by the JAT from Darbans?
:confused:
 
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loginrahul said:
o o o
o o o
o o o
how abt joining in 3 lines....
(extent ur imagination )
Click to expand...

dkumars said:
from left infinity bring a line crossing the first row and now it will go to infinity again. Now ... from infinity bring it back and cross middle row. Now, the angle btwnn first and second line is Limits tends to 0... so we can assume both are almost parallel lines and so as the two rows ... same is for the last row :). Is this correct Rahul ?
Click to expand...


cool mate u have extented ur imagination........... now extend it a bit more...

How abt joining them in one line.......
 
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Dharampalkaswan said:
Once an intelligent JAT passed away and reached to the court of Dhramraj. After a short interview the Dharamraj gave him an offer to choose one door out of two similar doors. There was 'Heaven' behind one door and 'Hell' behind the other. There was one Darban sitting in front of each door. Those were also in similar make-up. It is learnt that the Darban of Heaven is never telling a lie and the Darban of Hell is never telling a truth. The JAT was willing to go to Heaven only. He planned to get some information from the Darbans. The JAT went to one Darban and asked him a question. The Darban told a door by gesture. Then the JAT went to the other Darban and asked him the same question. The second Darban also told him the same door by gesture. The JAT entered into the door other than told by Darbans and reached in Heaven.

Now you tell us how it became possible and what was the question asked by the JAT from Darbans?
:confused:
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JAt will ask "Which door you dont guard?"

So the Heaven and hell darban will point to the hell door... so the other door is heaven......
 
Re:

He could also ask the following question from the both the darbans :-

"If I ask the other darban about the door towards heaven, then which door would he point to?"
In this way, if he is asking from the truth-speaking darban, he would point that the dis-honest darban would point to the hell's door; and in the same way, if he is asking this question from the dishonest darban, he would again point to the door of hell.

Dharampalkaswan said:
Once an intelligent JAT passed away and reached to the court of Dhramraj. After a short interview the Dharamraj gave him an offer to choose one door out of two similar doors. There was 'Heaven' behind one door and 'Hell' behind the other. There was one Darban sitting in front of each door. Those were also in similar make-up. It is learnt that the Darban of Heaven is never telling a lie and the Darban of Hell is never telling a truth. The JAT was willing to go to Heaven only. He planned to get some information from the Darbans. The JAT went to one Darban and asked him a question. The Darban told a door by gesture. Then the JAT went to the other Darban and asked him the same question. The second Darban also told him the same door by gesture. The JAT entered into the door other than told by Darbans and reached in Heaven.

Now you tell us how it became possible and what was the question asked by the JAT from Darbans?
:confused:
Click to expand...
 
neetu21 said:
He could also ask the following question from the both the darbans :-

"If I ask the other darban about the door towards heaven, then which door would he point to?"
In this way, if he is asking from the truth-speaking darban, he would point that the dis-honest darban would point to the hell's door; and in the same way, if he is asking this question from the dishonest darban, he would again point to the door of hell.
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Too complicated Neetu......:confused:
(there is always a simpler way:cool:)
 
loginrahul said:
nope!!.. we are talking about straight lines

hint.... u r extending ur imagination but u need to expand it out of world.
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No Rahul, there is no need to go out of the world. Just start the line from first dot to third dot in upper row and have round about the earth in same dorection and cut the next three dots in second row and the last three in lower row in next round of earth. in this case u r not lifting the pen as well no direction change so straight line.
 
Try this very logical but simle
Three sisters are identical triplets. The oldest by minutes is Sarah, and Sarah always tells anyone the truth. The next oldest is Sue, and Sue always will tell anyone a lie. Sally is the youngest of the three. She sometimes lies and sometimes tells the truth.

Victor, an old friend of the family's, came over one day and as usual he didn't know who was who, so he asked each of them one question.

Victor asked the sister that was sitting on the left, "Which sister is in the middle of you three?" and the answer he received was, "Oh, that's Sarah."

Victor then asked the sister in the middle, "What is your name?" The response given was, "I'm Sally."

Victor turned to the sister on the right, then asked, "Who is that in the middle?" The sister then replied, "She is Sue."

This confused Victor; he had asked the same question three times and received three different answers.

Who was who?
 
sanjeev_balyan said:
No Rahul, there is no need to go out of the world. Just start the line from first dot to third dot in upper row and have round about the earth in same dorection and cut the next three dots in second row and the last three in lower row in next round of earth. in this case u r not lifting the pen as well no direction change so straight line.
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ohh great man ... it seems logical ... gr8 dude ... hats off for the ans :) but this is also theoritical but not practical as i said in previous question. This may not be acceptable for many ppl but m satisfied... gud
Keep it up and bring similar puzzles
 
sanjeev_balyan said:
No Rahul, there is no need to go out of the world. Just start the line from first dot to third dot in upper row and have round about the earth in same dorection and cut the next three dots in second row and the last three in lower row in next round of earth. in this case u r not lifting the pen as well no direction change so straight line.
Click to expand...


yeap!! that's the ans.... u r a gem....

dkumars said:
ohh great man ... it seems logical ... gr8 dude ... hats off for the ans :) but this is also theoritical but not practical as i said in previous question. This may not be acceptable for many ppl but m satisfied... gud
Keep it up and bring similar puzzles
Click to expand...

now this is in for devender: ( i figured this out while pursuit of more practical ans)
another ans to this prob can be to have a line thicker enough to cover all the dots in one go.
how about this one..... sanjeev
 
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loginrahul said:
yeap!! that's the ans.... u r a gem....



now this is in for devender: ( i figured this out while pursuit of more practical ans)
another ans to this prob can be to have a line thicker enough to cover all the dots in one go.
how about this one..... sanjeev
Click to expand...


Hats off dude :)
 
loginrahul said:
yeap!! that's the ans.... u r a gem....



now this is in for devender: ( i figured this out while pursuit of more practical ans)
another ans to this prob can be to have a line thicker enough to cover all the dots in one go.
how about this one..... sanjeev
Click to expand...

Very correct Rahul, this is also very good ans and result oriented. Many people can say that a line which is so thicker that nine dots can be covered cant be callec as line. but ans is very much coorect ant can come from a good thinker only. good dude, keep it up
 
sanjeev_balyan said:
Try this very logical but simle
Three sisters are identical triplets. The oldest by minutes is Sarah, and Sarah always tells anyone the truth. The next oldest is Sue, and Sue always will tell anyone a lie. Sally is the youngest of the three. She sometimes lies and sometimes tells the truth.

Victor, an old friend of the family's, came over one day and as usual he didn't know who was who, so he asked each of them one question.

Victor asked the sister that was sitting on the left, "Which sister is in the middle of you three?" and the answer he received was, "Oh, that's Sarah."

Victor then asked the sister in the middle, "What is your name?" The response given was, "I'm Sally."

Victor turned to the sister on the right, then asked, "Who is that in the middle?" The sister then replied, "She is Sue."

This confused Victor; he had asked the same question three times and received three different answers.

Who was who?
Click to expand...

L-------M--------R
sally sue sarah


is it OK sanjeev?
 
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