ZOHO
Maths Puzzle
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In a jungle a man was at one end of the jungle. He has to give a 2 pieces of
cake to his friend who was at the other end of the jungle. There were 7
bridges on the way with 7 gatekeepers. Each gatekeeper will take half of the
cake he has and will give one piece back to him. How many cakes should the
man carry initially?
Read Solution (Total 28)
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- Answer is 2 cakes...
According to the condition, "Each gatekeeper will take half of the cake he has and will give one piece back to him",
At the first gate, 2/2=1 cake is with the boy and the gatekeeper returns one cake. So 1+1=2.
So, the boy again has 2 cakes.
Similar steps for all the gatekeepers.
Finally he will give 2 cakes to his friend. - 9 years agoHelpfull: Yes(42) No(9)
- He should carry 2 cakes initially
Whenever he is entering the bridge, he have to give half of the number of cakes he has. So, if he has 2 Cakes then he will give one piece to gatekeeper. According to the condition GateKeeper has to give 1 piece back to him. Hence he will again pass out the bridge with 2 Cakes.
This continues till he meets his friend on the other end of the jungle. Then he can give that two pieces to him/her.
- 9 years agoHelpfull: Yes(13) No(1)
- 2 cakes... He will give half amount cake 1 and keeper will give the same cake back
- 9 years agoHelpfull: Yes(8) No(0)
- x/2^n=reminder.
so that
x/2^7=2
x/128=2
x=256 ANS
- 9 years agoHelpfull: Yes(5) No(25)
- The man should initially carry 2 pieces of cakes
Half of 2 is 1 which he will give it to the gate keeper and will get 1 in return.Finally he will have 2 pieces at the end - 8 years agoHelpfull: Yes(5) No(0)
- 2 piece
that given correct answer - 8 years agoHelpfull: Yes(5) No(1)
- i think it is 256
in 7th gate he should give half so 2+2=4
in 6th gate he should give half so 4+4=8
in 5th gate he should give half so 8+8=16
in 4th gate he should give half so 16+16=32
in 3rd gate he should give half so 32+32=64
in 2nd gate he should give half so 64+64=128
in 1st gate he should give half so 128+128=256
- 9 years agoHelpfull: Yes(4) No(40)
- I thing i got to know about ths website is, here you will be able to learn since which answer is correct, you don't know.
Just comment whatever you feel to answer.
Time waste! - 8 years agoHelpfull: Yes(3) No(1)
- initially the man will give half of the number of cakes that he is taking with him to the first gatekeeper,the condition is the gatekeeper has to give one cake piece to him,if the gatekeeper returns the one cake he got then the man will get back his two cakes ,This repeats for all the seven gatekeepers,So the man takes two cake pieces to his friend at the other end of the jungle
- 8 years agoHelpfull: Yes(2) No(0)
- The Answer is 2 cakes...
Because,
According to the condition, "Each gatekeeper will take half of the cake the boy has and will give one piece back to him again", which reveals that,
At the first gate, 2/2=1 cake is with the boy and the gatekeeper returns one cake. So 1+1=2.
So, the boy again has 2 cakes.
Similarly it happens for all the gatekeepers.
Finally he will give 2 cakes to his friend. - 8 years agoHelpfull: Yes(2) No(0)
- man should initially carry two cakes.
irrespective of the number of bridges,this will be the case.. - 9 years agoHelpfull: Yes(1) No(1)
- initially man should have two cakes.
- 9 years agoHelpfull: Yes(1) No(0)
- initially the man must have 2 pieces of cakes because at the first gate he will give half of them i.e. 1 piece of cake..and in turn he will get back 1 piece of cake.This is repeated at all the 7 gates
- 8 years agoHelpfull: Yes(1) No(0)
- man takes 2 pieces of cakes.
- 8 years agoHelpfull: Yes(1) No(0)
- 2 cakes only
- 8 years agoHelpfull: Yes(1) No(0)
- he carries 2 cakes initially.
1st gatekeeper takes half i.e 1 cake and gives back 1cake
this continues and finally he will have 2 cakes. - 7 years agoHelpfull: Yes(1) No(0)
- 2->1+1->1+1...............1+1->2
so ans is 2 - 7 years agoHelpfull: Yes(1) No(0)
- Six is the ans.. I think...
- 9 years agoHelpfull: Yes(0) No(7)
- 200 finally 2 will be left to his friend
- 9 years agoHelpfull: Yes(0) No(3)
- initially he had only one piece of cake
- 9 years agoHelpfull: Yes(0) No(4)
- Answer:256
- 8 years agoHelpfull: Yes(0) No(5)
- No Need of Complex Calculations!!!
Lets use Ratio! Its Fun!!
x:y = 2:1
x -> Time taken to solve Math Question
y -> Time taken to solve Non Math Question
Ratio of Math To Non math questions is 25;75 = 1:3
Hence, Ratio of Time taken to solve math question to non math question is (1*2):(3*1) = 2:3
Therefore, Time taken to solve one part is 120/5 = 24 mins.
Time taken to solve Math question part is 2*24 = 48 mins
Time taken to solve Non Math question part is 3*24 = 72 mins - 8 years agoHelpfull: Yes(0) No(1)
- 2 cakes
initialy he carries 2 cakes.. the first gatekeeper gets half of the cake ie) 1 and gives 1 back.. so, he again carries 2 cakes... in a similar manner he crosses the other 6 gates and finaly gives his friend 2 cakes. - 8 years agoHelpfull: Yes(0) No(0)
- 2 as each gate she has 2 because half she give to gatekeeper still he has one only with that one was return by the gatekeeper
- 8 years agoHelpfull: Yes(0) No(0)
- perfect square lockers:1,4,9,25,36,49,64,81,100
- 8 years agoHelpfull: Yes(0) No(0)
- the man should carry 2 cakes initially with him.
- 7 years agoHelpfull: Yes(0) No(0)
- At each bridge man was required to give half of your cakes, and he will receive one back.
Which leaves the man with 2 cakes after every bridge. - 7 years agoHelpfull: Yes(0) No(0)
- the man has to carry 2 cakes because every gatekeeper will take half of the cake (i.e 1 cake) and will give back one cake to him..
- 5 years agoHelpfull: Yes(0) No(0)
ZOHO Other Question
There is a school with 100 students and correspondingly 100 lockers, all of which start off closed. The first student opens every locker and the second students closes every other locker starting with the second (2,4,6...etc..) . The 3rd student changes the state of the lockers numbered (3,6,9.. etc.). The fourth student changes the state of the lockers numbered (4,8,12.. etc..).. This continues until all the 100 students passes along the lockers.. when all the 100 student is done which locker is closed and which locker is in open condition?
In an exam, there were 25 math qns and 75 nonmath qns. To answer a math qn, a candidate was supposed to spend twice the time he spends to answer a nonmath qn. If the entire exam duration was 2 hrs, find the time he spent on the math qns.