Puzzles contest - 15 With Answers

[HELP]

1. A cubic object 3" * 3" * 3" is painted blue on all the outside surfaces, including the top and bottom. If the cube is cut into 27 cubes of 1" xI" xI", how many 1" cubes do have any painted surfaces?


2. A standard-sized cigarette can be..rolled out of 6 staAdard-sizedcigarette butts. How many cigarettes 'can be made and smoked from 36 butts?


3. Some times small town taxi drivers can be very rude.One taxi driver I had the occasion to travel with was particularly 1acking in courtesy, and so I asked for his number.The driver gave me a sardonical smile and said, 'Well, if you divide my number by 2, 3, 4, 5 or 6 you will find there is always 1 remaining. But if you divide it by 11 there is no remainder. Do you want to know something more? There is no other cabgy in this town with a lower number than-who can say the same," and he drove off, while I stood there completely baffled.
What was the man's number'?


4. A singles tennis tournament is held in which 30 men participate. 1£ a player is eliminated as soon as he loses a match, how many matches are required to determine the winner?


5. On my return to India, after an extensive tour of America, I waited for the two crates I had sent by ship as unaccompanied baggage. When they finally arrived, I had them cleared through the Customs and engaged three labourers to carry them to my home 3 miles distant. I was going to pay them Rs. 8 each for this task. As I was going to pay each of them equal amounts, they decided to carry a crate each equal distance. How did they manage to do it?








Answers






1. only the box in the very center of the stack willnot suffer the strokes of the paint brush, whereas all the other 26 boxes will have at least one side painted.

2. No, 6 is not the answer! It is not correct, because after the 6 cigarettes have been smoked there will again be 6 butts which can be made into another cigarette. The answer is' 7

3.The driver's number was 121.

4. Every time a match is held, one player is eliminated and to eliminate 29 of the 30 players. 29 matches are required.

5. The tirst and the second labourers should each take a crate with the former carrying his load one mile and turning it over to the third, who will carry it two miles.


Then the second labourer should carry his crate two miles and turn it over to the first, who will then carry it. one mile. Thus, each carries a crate 2 miles
Edited by: HELP

[meenakshisekar]

1. A cubic object 3" * 3" * 3" is painted blue on all the outside surfaces, including the top and bottom. If the cube is cut into 27 cubes of 1" xI" xI", how many 1" cubes do have any painted surfaces?
ans:26(except the cube that is in position 2,2)all cubes will be having atleast oneside painted.

[meenakshisekar]

. A singles tennis tournament is held in which 30 men participate. 1£ a player is eliminated as soon as he loses a match, how many matches are required to determine the winner?


ans:29matches

[meenakshisekar]

3. Some times small town taxi drivers can be very rude.One taxi driver I had the occasion to travel with was particularly 1acking in courtesy, and so I asked for his number.The driver gave me a sardonical smile and said, 'Well, if you divide my number by 2, 3, 4, 5 or 6 you will find there is always 1 remaining. But if you divide it by 11 there is no remainder. Do you want to know something more? There is no other cabgy in this town with a lower number than-who can say the same," and he drove off, while I stood there completely baffled.
What was the man's number'?





ans:the no is 121


when u divide it by 11,remainder=0


when u divide it by 2,3,4,5,6, remainder=1

[meenakshisekar]

. A standard-sized cigarette can be..rolled out of 6 staAdard-sizedcigarette butts. How many cigarettes 'can be made and smoked from 36 butts?


ans:7 butts


b's a single cigaratte cannot be smoked fully hence u'll get six such bits on joining them u'll get another cigarette.

[meenakshisekar]

5. On my return to India, after an extensive tour of America, I waited for the two crates I had sent by ship as unaccompanied baggage. When they finally arrived, I had them cleared through the Customs and engaged three labourers to carry them to my home 3 miles distant. I was going to pay them Rs. 8 each for this task. As I was going to pay each of them equal amounts, they decided to carry a crate each equal distance. How did they manage to do it?
ans:&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;&n bsp;
first labourer -1 mile-gives to third
second labourer-2miles -gives to first
hence,1st lobourer-2mile,2nd-2mile,3rd-2mile.

[keerthi]

1. A cubic object 3" * 3" * 3" is painted blue on all the outside surfaces, including the top and bottom. If the cube is cut into 27 cubes of 1" xI" xI", how many 1" cubes do have any painted surfaces?
26 cubes have atleast one side painted
1 cube has noe sides painted

[keerthi]

. A standard-sized cigarette can be..rolled out of 6 staAdard-sizedcigarette butts. How many cigarettes 'can be made and smoked from 36 butts?


Ans) 7 butts


6 cigarettes with 36 butts and 7th one with 6 butts from 6 cigarettes

[keerthi]

. A singles tennis tournament is held in which 30 men participate. 1£ a player is eliminated as soon as he loses a match, how many matches are required to determine the winner?


Ans)29 matches are enough.


becoz final palyer would be the winner

[keerthi]

3. Some times small town taxi drivers can be very rude.One taxi driver I had the occasion to travel with was particularly 1acking in courtesy, and so I asked for his number.The driver gave me a sardonical smile and said, 'Well, if you divide my number by 2, 3, 4, 5 or 6 you will find there is always 1 remaining. But if you divide it by 11 there is no remainder. Do you want to know something more? There is no other cabgy in this town with a lower number than-who can say the same," and he drove off, while I stood there completely baffled.
What was the man's number'?


Ans)121


the number should be LCM of 2,3,4,5,6

[JotiN]

1) 26 cubes have atleast one face painted.
2) 7 Ciggerates can be somked
3) 121
4) 29 matches

JotiN [img]smileys/smiley1.gif[/img]