puzzles contest - 18 with Answers

[HELP]

1. I saw a squirrel climbing up a cylindrical post spirally, making the circ uit in four feet.Supposing the top of the post is sixteen feet high and three feet in circumference, how many feet does it travel to the top?
2. Aman I know fell in love with a woman who lived- 63 miles away. Finally he decided to propose marriage to his beloved and invited her to travel towards his place and offered to meet her enrouteand bring her home. . The man is able to cover 4 miles per hour to the woman's 3 miles per hour. How far will each have travelled upon meeting?

3. In most States in India the law for the sale of alcoholicbeverages provides that beer cannot be sold after a certain hour. However. in some States the law permits a customer to consume, after the deadline, what has been sold before the curfew. In a certain bar 2 men ordered sufficient beer to cover their probable requirements in anticipation of the curfew. On€ man ordered and paid for 5 bottles and the other man ordered and paid for 3 bottles. Bur as the curfew started, an old friend of both the men approached and requested them to share the eight bottles of beer between them. The friend thanked the two men and put down Rs. 8 in payment for the beer he had consumed. Asking them to share the money in proportion to the quantity of beer they have contributed to him. How should this monE!y be equitably divided between the two men
4. Recently I met a woman I hadn't seen for a long time. In the course of conversation she said, 'Do you know something funny? If you reverse my own age, the figures represent my husband's age.He is,of course, senior tome and the difference between our age is one-eleventh of their sum. Can you find out the woman's age as well as her husband's age?
5.Two trains, a passenger train and a goods train, are runl1ing in the same direction on parallel railway tracks. The passenger train takes three times as long to pass the goods train-even when they are going in the opposite directions. If the trains run at uniform speeds, how many times faster than the goods train is the passenger train moving?
Answers



1. Since the squtrrel climbs 5 it. Ascending d4 it. Of the pole. He atravels 20 ft. in climbing 16 ft

2. The man's rate of speed is 4 miles an hour to the woman's 3 miles and,therefore,their total rate is 7 miles an hour. Since they are 63 miles apart they can cover an aVerage of 9 miles in one hour. Therefore, 9 x 4 = 36 miles travelled by the man and 9 x 3 = 27 miles the distance travelled by the woman.

3. The three men shared the beer equally and so each drank the contents of 22/3 bottles. Therefore, the man who had bought 5 bottles contributed 2 I h bottles and the man who had paid for 3 bottles contributed 1/3 of the bottle, to make up the third man's share. The first man's contribution is 7 times that of the
second and,therefore,he gets Rs. 7 and the latter Re. 1. .

4. The woman's age is 45 years and her husband's 54.

5. When the trains are moving in opposite directions, th.2yare passing each other with the combined speeds of th~ two trains. Hence, when going in the same direction, the 'passing speed' is the speed of the pas- senger speed minus the speed of the goods train. If the passenger train goes twice as fast as the goods train, then the passing speed when going in the opposite directions will be 2 plus 1 or 3 compared with .2 minus 1 or 1 when the trains are going in the same direction.Therefore. the answer is twice as fast.




Edited by: HELP

[meenakshisekar]

4. Recently I met a woman I hadn't seen for a long time. In the course of conversation she said, 'Do you know something funny? If you reverse my own age, the figures represent my husband's age.He is,of course, senior tome and the difference between our age is one-eleventh of their sum. Can you find out the woman's age as well as her husband's age?


ans:


husband's age=54


wife's age=45


hence,54-45=(1/11)*(54+45)hence verified

[kiran123]

2)



Relative speed= (u+v)=4+3 [since opp direction]



distance =63miles



time =d/s 63/7=9



After travalling 9hrs they wll meet at certain point.For this they



travel Man---->9*4=36miles

&nbs p; women-->9*3=27miles

&nbs p;
----



63miles

[kiran123]

4)Recently I met a woman I hadn't seen for a long
time. In the course of conversation she said, 'Do you know something
funny? If you reverse my own age, the figures represent my husband's
age.He is,of course, senior tome and the difference between our age is
one-eleventh of their sum. Can you find out the woman's age as well as
her husband's age?




hus-- 10X+Y

wife-- 10Y+X



==> [(10X+y)-(10Y+X)]=1/11[(10X+Y)+(10Y+X)]

&nbs p; ==>
[
9X-9Y
]=1/11[11(X+Y)]

&nbs p; ==> 8X-10Y=0

&nbs p; ==> 4X-5Y=0

&nbs p; ==> 4X=5Y

&nbs p;
==>
X/Y=5/4 SO X=5 AND Y=4




HUS 10X+Y=54


WIF 10Y+X=45

54-45=(1/11)*(54+45)

[JotiN]

Hi,

2) Aman have trvelled 36miles and his beloved for 27 miles towards each other.


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

[keerthi]

3. In most States in India the law for the sale of alcoholic beverages provides that beer cannot be sold after a certain hour. However. in some States the law permits a customer to consume, after the deadline, what has been sold before the curfew. In a certain bar 2 men ordered sufficient beer to cover their probable requirements in anticipation of the curfew. On€ man ordered and paid for 5 bottles and the other man ordered and paid for 3 bottles. Bur as the curfew started, an old friend of both the men approached and requested them to share the eight bottles of beer between them. The friend thanked the two men and put down Rs. 8 in payment for the beer he had consumed. Asking them to share the money in proportion to the quantity of beer they have contributed to him. How should this monE!y be equitably divided between the two men


Ans) The person with 5 bottles gets =7Rs and other gets= 1Rs


totally ther are 8 bottles.


so inorder to share equally beween the 3 each gets a share of 2 2/3rd bottles.


hence first man gives 2 1/3 bottles and second man gives 1/3 rd of a bottle.


as the first mans contribution is 7 times that of the second man


first man gets = 7 Rs and second man gets = 1Rs