37 coconuts in each bag there are 37 bags there are 37 checkposts pay 1 coconut from each bag for each checkpost how much remain last
(Example: At 1st checkpost he pays 37 coconuts, 1 coconut from each bag. Later he adjusts 36 coconuts in to the remaining 36 bags. For the 2nd checkpost he has 36 bags of coconuts each bag contains 37 coconuts.)
Answers
The number of coconut that remains is 666
Step-by-step explanation:
From question, there are 37 coconuts are in 1 bag and there are 37 bags.
Total number of coconuts = 37 × 37 = 1369
From question, the person has to pay one coconut for each bag.
At 1st check post, the person losses one bag.
At 2nd check post, the person losses only 36 coconut and the one coconut left in 36th bag is shifted to 35th bag.
At 3rd check post, the person losses only 35 coconut and the three coconuts left in 35th bag is shifted to 34th bag.
Likewise, the number of coconut increases.
At last, Number of coconut = (0 + 1 + 2 + 3 + ..... + 36) = 666
Answer:
14 BAGS , 486 COCONUTS
Step-by-step explanation:
37 bags each with 37 coconuts
Bags ( 1 , 2 , .............. , 36 , 37 )
Coconuts in each (37)
given at 1st check post = 37 hence last bag given
Now left
Bags ( 1 , 2 , .............. , 36)
Coconuts in each (37)
36 bags so 36 Coconuts given from last Bag and 1 coconut left
hence after 2nd check post now
Bags ( 1 , 2 , .............. , 35) , ( 36)
Coconuts in each (37) ( 1)
Still 36 bags so now on next check post has to be given 36 coconuts
1 from 36th Bag & 35 from 35th Bag
and so now after 3rd check post left
Bags ( 1 , 2 , .............. , 34) , ( 35)
Coconuts in each (37) ( 2)
after 4th :
Bags ( 1 , 2 , .............. , 33) , ( 34)
Coconuts in each (37) ( 4)
after 5th :
Bags ( 1 , 2 , .............. , 32) , ( 33)
Coconuts in each (37) ( 7)
after 6th :
Bags ( 1 , 2 , .............. , 31) , ( 32)
Coconuts in each (37) (11)
after 7th :
Bags ( 1 , 2 , .............. , 30) , ( 31)
Coconuts in each (37) (16)
after 8th :
Bags ( 1 , 2 , .............. , 29) , ( 30)
Coconuts in each (37) (22)
after 9th :
Bags ( 1 , 2 , .............. , 28 ) , ( 29)
Coconuts in each (37) (29)
after 10th :
Bags ( 1 , 2 , .............. , 28 )
Coconuts in each (37)
after 11th :
Bags ( 1 , 2 , .............. , 27 ) (28)
Coconuts in each (37) (9)
after 12th :
Bags ( 1 , 2 , .............. , 26 ) (27)
Coconuts in each (37) (18)
after 13th :
Bags ( 1 , 2 , .............. , 25 ) (26)
Coconuts in each (37) (28)
after 14th :
Bags ( 1 , 2 , .............. , 25 ) (26)
Coconuts in each (37) (2)
after 15th :
Bags ( 1 , 2 , .............. , 24 ) (25)
Coconuts in each (37) (13)
after 16th :
Bags ( 1 , 2 , .............. , 23 ) (24)
Coconuts in each (37) (25)
after 17th :
Bags ( 1 , 2 , .............. , 23 ) (24)
Coconuts in each (37) (1)
after 18th :
Bags ( 1 , 2 , .............. , 22 ) (23)
Coconuts in each (37) (14)
after 19th :
Bags ( 1 , 2 , .............. , 21 ) (22)
Coconuts in each (37) (28)
after 20th :
Bags ( 1 , 2 , .............. , 21 ) (22)
Coconuts in each (37) (6)
after 21st :
Bags ( 1 , 2 , .............. , 20 ) (21)
Coconuts in each (37) (21)
after 22nd :
Bags ( 1 , 2 , .............. , 20 )
Coconuts in each (37)
after 23rd :
Bags ( 1 , 2 , .............. , 19 ) (20)
Coconuts in each (37) (17)
after 24th :
Bags ( 1 , 2 , .............. , 18 ) (19)
Coconuts in each (37) (34)
after 25th :
Bags ( 1 , 2 , .............. , 18 ) (19)
Coconuts in each (37) (15)
after 26th :
Bags ( 1 , 2 , .............. , 17 ) (18)
Coconuts in each (37) (33)
after 27th :
Bags ( 1 , 2 , .............. , 17 ) (18)
Coconuts in each (37) (15)
after 28th :
Bags ( 1 , 2 , .............. , 16 ) (17)
Coconuts in each (37) (34)
after 29th :
Bags ( 1 , 2 , .............. , 16 ) (17)
Coconuts in each (37) (17)
after 30th :
Bags ( 1 , 2 , .............. , 16 )
Coconuts in each (37)
after 31st :
Bags ( 1 , 2 , .............. , 15 ) (16)
Coconuts in each (37) (21)
after 32nd :
Bags ( 1 , 2 , .............. , 15 ) (16)
Coconuts in each (37) (5)
after 33rd :
Bags ( 1 , 2 , .............. , 14 ) (15)
Coconuts in each (37) (26)
after 34th :
Bags ( 1 , 2 , .............. , 14 ) (15)
Coconuts in each (37) (11)
after 35th :
Bags ( 1 , 2 , .............. , 13 ) (14)
Coconuts in each (37) (33)
after 36th :
Bags ( 1 , 2 , .............. , 13 ) (14)
Coconuts in each (37) (19)
after 37th : ( Last toll)
Bags ( 1 , 2 , .............. , 13 ) (14)
Coconuts in each (37) (5)
Hence total 14 bags left
with 13 with 37 coconuts each & 14th bag with 5 coconuts
total coconuts left = 13 * 37 + 5 = 486