a farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plant are intelligent and when the farmer plucks these no. of roses, the next day 37 or 36 or 9 or 18 new roses bloom up in the garden respectively. On Monday he counts 189 roses, he plucks the roses as per his plan on consecutive days and new roses bloom up as per the intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?
a)4 b)37 c)7 d)30

• to match the answer with the options given...(number of rose plucked)should be greater than (number of rose bloomed)...in this situation only two pairs are possible...(rose plucked=24, rose bloomed=9)and (rose plucked=23,rose bloomed=18)...for first condition...the roses decrease everyday by a rate of 15...so roses left=189/15=9(remainder)..which is not given in options....for second case...it is (23-18=5)....s0 rose left=189/5=4(remainder)..which is given in options....so ans is a)4.
• 11 years agoHelpfull: Yes(195) No(7)
• How can we conclude that roses plucked should be greater than roses bloomed??
• 11 years agoHelpfull: Yes(15) No(10)
• Little bit tricky,
  CASE I
  If he plucks 24 flowers and 9 comes:- In this case flowers decreases day by day as 1st day there is a loss of 15 flowers and then next day again there is a loss of 15 flowers and it is go on until we reach flower
  
  CASE II
  If he plucks 23 flowers and 18 comes:- In this case also flowers decreases day by day and never reach upto 189.
  
  CASE III
  If he plucks 7 flower and 37 comes:- Now, there is a gain in flowers each day
  CASE IV
  Here also there is a gain in each day
  
  So as per option if there is 189 flowers on Monday and there maybe either 4 or 37 or 7 or 30 flowes left then definitely there is a loss in flower in each day and therefore, ans was demonstrated by either CASE 1 or CASE 2
  
  Solving CASE 1,
  There is a loss of 15 flowers each day.
  After 12 days he lose 180 flowers and only 9 left.
  
  Solving CASE 2, there is a loss of 5 flowers each day.
  After 37 day, he lose 185 flowers and only 4 left
  9 is not in option so answer is 4
• 8 years agoHelpfull: Yes(12) No(2)
• It should be 7
  
  Because, According to given options ,the flowers should be decreased in the garden.
  
  so, Either (24-9=15) or (23-18=5)
  
  It is given that after few days.so, we consider 15
  now, 189/15= 15 and 7 as remainder.
  so, 7 flowers will be left after few days.
• 11 years agoHelpfull: Yes(9) No(81)
• may be it is 7..
• 11 years agoHelpfull: Yes(5) No(43)
• ans:4,take a unite digite of solved question
  
• 9 years agoHelpfull: Yes(4) No(3)
• for all combinations the number of roses in the garden increases (1. -7+37=30 2.-6+24=18 4.-23+18).The only combination that leads to decreasing number of roses is(-24+9=-15). On repeated application of this we get 30. that is the most probable answer
• 8 years agoHelpfull: Yes(3) No(0)
• in that question, given after some days what is the no. of flowers.....they didn't gave how many days
  so data insufficient......cannot determined the answer for this one
  
• 8 years agoHelpfull: Yes(2) No(0)
• ans is : 4
• 8 years agoHelpfull: Yes(2) No(1)
• 
  If he plucks 23, then only 18 grows the next day. This means total roses get decreases by 5. So after n days assume the number of roses got decreased 185 where n = 37, then 4 roses left.
• 8 years agoHelpfull: Yes(2) No(0)
• let us consider the case of 23. when he picks up 23 roses the next day there will be 18 new, so in this case., 5 flowers will be less every day. So when he counts 189, the next day 184, 179,174,169,................
  finally the no. of roses left behind will be 4.
• 8 years agoHelpfull: Yes(1) No(0)
• let us consider the case of 23. when he picks up 23 roses the next day there will be 18 new, so in this case., 5FLOWERS will be less every day. So when he counts 189, the next day 184, 179,174,169,................
  finally the no. of roses left behind will be 4.
  
• 7 years agoHelpfull: Yes(1) No(0)
• CASE 1:
  If he plucks 7, remaining is 182 and 37 blooms so 219 flowers will be there the next day, which means it increases by 30 so not possible according to options
  
  CASE 2:
  If he plucks 6 , remaining 183 now 36 blooms again there 30 more flowers on the next day so this too is not possible according to the options
  
  CASE 3:
  If he plucks 24, remaining 165 and 9 blooms = 174 roses on next day, which means it decreases by 15
  this is possible
  it decreases in the fashion 189-15x so 189/15 gives 9 as reminder so "9 roses are left" but not in option
  so moving to next case
  
  CASE 4:
  if he plucks 23 roses , daily there will be a decrease in roses by 5
  this goes in the fashion 189-5x , on dividing 189/5 we get remainder 4 so "4 roses are left "
  this is present in the option so " (a) 4 "
• 6 years agoHelpfull: Yes(1) No(0)