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There are 60 slots around a circle, numbered from 1 to 60. A man starts from the 1st slot thn 5th slot and jumps into the 9th slot and so on. In which slot will he land in his 2200th jump?
a) 45
b) 41
c) 1
d) 5
Read Solution (Total 6)
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- at first write the slots...
1,5,9,13,17,21,25,29,33,37,41,45,49,53,57,1
so after the 15th jump it will come to position 1.
so 2200 mod 15 gives 10
so it will go the 10 place from 1.it is the 41th slot,check it. - 12 years agoHelpfull: Yes(27) No(0)
- at each jump it moves 4 slot.
hence total jump * 4 will give at which slot he is
2200 * 4 = 8800
but its given that..there are 60 slots around a circle
so take mod 60
8800 mod 60 = 40
but mod gives and between 0 to 59...but actual slot number are from 1 to 60 hence +1 ans
hence final answer is 40 +1 = 41 - 12 years agoHelpfull: Yes(16) No(1)
- total slots=60
no.of slots for one jump=4 so total 2200 jumps has 8800 slots but here only 60slots available s0 8800/60 so remainder is 40 so ans is 40+1=41 - 12 years agoHelpfull: Yes(3) No(0)
- 1 round done in 15 jump
then 2200%15=10
in 10 jump =40 slot
but start from 1 then 40+1=41 ans - 12 years agoHelpfull: Yes(2) No(0)
- ans is 5
1,5,9,.....57-no. of slots 14
2200%14=2
so ans is 5 - 12 years agoHelpfull: Yes(1) No(8)
- 2200 * 4 = 8800
but its given that..there are 60 slots around a circle
so take mod 60
8800 mod 60 = 40
but mod gives and between 0 to 59...but actual slot number are from 1 to 60 hence +1 ans
hence final answer is 40 +1 = 41 - 12 years agoHelpfull: Yes(1) No(0)
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