Shabnam has some parrots and some cages. If she puts 4 parrots per cage, she will have an extra cage. If she puts 3 parrots per cage, she will have one parrot extra. How many parrots does she have?
13
10
16
22
12

• In the first case, 4 parrots per cage and extra cage left, i.e., answer should be multiple of 4.
  From options 16 or 12.
  If we take 12.,,, 4parrots*3cages=12parrots (left one xtra cage) so total 4 cages.
  Second case 3parrots*4cages=12 but no xtra parrot to left.
  
  If we take 16 as answer,
  case1: 4parrots*4cages=16parrots (left one cage) total 5 cages.
  case2: 3parrots*5cages=15parrots (have one parrot left).
  
  So aswer is 16
• 6 years agoHelpfull: Yes(27) No(0)
• answer should be when we divide by 4,it should give remainder 0 and also when we divide by 3,it should give remainder 1..so 16 is correct answer
• 6 years agoHelpfull: Yes(7) No(2)
• 16 parrots 5 cages, so 1 extra cage for 4 parrots in one.
  for 3 in one cage, 15 parrots and one extra.
• 6 years agoHelpfull: Yes(2) No(1)
• Let the no of Parrots and Cage be P and C.
  C=P/4+1 or 4C=P+4...(1)
  and P=3C+1....(2)
  Solving P=16 and C=5.
  
  Hence Parrots=16.
• 4 years agoHelpfull: Yes(2) No(0)
• Assume we have16 parrots and 5 cages
  Put 4 parrots in each cage:4+4+4+4=16 rem:1cages
  Put 3 parrots in each cage:3+3+3+3+3=15
  rem:1 parrot
• 6 years agoHelpfull: Yes(1) No(1)
• 16 would be the answer
  16 = 4*4 (where 4=5-1 which in one extra cage)
  16=3*5+1 (here 5 is cages but extra 1 is the parrot)
• 6 years agoHelpfull: Yes(0) No(0)
• correct answer is 16
  if we have 16 parrots
  let cages be 5 so if we kept 3 parrots per cage we left with one parrot and 4 parrots per cage we left with 1 cage
• 6 years agoHelpfull: Yes(0) No(0)
• the answer is 16..
• 6 years agoHelpfull: Yes(0) No(1)
• answer is 16.
• 6 years agoHelpfull: Yes(0) No(1)
• if she have 16 parrots and 5 cages means she need 4 cages to fill the parrot and if she put 3 per cage means one parrot is remaining condition satisfied
• 6 years agoHelpfull: Yes(0) No(0)
• assume that she have an some amount of parrots and cages. She put 4 parrots in a cadge means one cage is remainder. But, 3 parrot means one parrot is remainder;
  4 parrot=> 4,8,12,16,....
  3 parrot=>3,6,9,12,15,....
  if she have an 4 parrot means one cage is there in remainder. split to 3 means not satisfies the condition. because we want one parrot is remain. In order to that parrot count is 16 then only satisfied. So the answer is 16.
• 6 years agoHelpfull: Yes(0) No(0)
• easy method to check out from the options as we dont know the number of parrots and cages .
  if we take parrots =16 (3rd option)
  #-represent cage
  (4 parrots per cage, she will have an extra cage) in order to satisfy this take 5 cages instead of 4
  4 parrots per cage then (#,#,#,#,#)
  .
  .
  .
  .
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  3 parrots per cage
  for 5 cages - 15 parrots
  one parrot is left out .
• 6 years agoHelpfull: Yes(0) No(0)
• 16 parrots
  5 cages
  4 parrots in 1 cages ie., 4*4 then one cage will be empty
  3 parrots in 1 cages ie., 3*5 then one parrot will be extra
• 6 years agoHelpfull: Yes(0) No(0)
• 16
  If he has 4 parrots then he can fill only 4cages and hence has 1 extra cage. if he fill 3parrots per cage he can fill all the 5 cages
• 6 years agoHelpfull: Yes(0) No(0)
• Ans will be multiple of 4 from the given condition .It will be 12 or 16 but ans is 16
• 5 years agoHelpfull: Yes(0) No(0)
• 16 because suppose there are five cages if we put 4 parrots per cage then we will have an extra cage and if we put 3 parrots per cage then we will getting an extra parrot as these satisfy the question requirements answer is 16
• 5 years agoHelpfull: Yes(0) No(1)
• Ans 16
  check with ans
  number is perfect divisible by 4 and rem 1 for the divisible by 3
• 5 years agoHelpfull: Yes(0) No(0)
• 22 also possiple if we take 22 parrots and 7 cages
• 5 years agoHelpfull: Yes(0) No(2)
• ans is 16
  we can assume there are 5 cages 4*4 so 0ne cage left and if we put 3 the 3*5=15 1 is left
• 4 years agoHelpfull: Yes(0) No(0)