Q. Find the largest 4 digit number which when divided by 10,15,22 leaving the reamainders 4,6,10 respectively

• @VIKAS
  we have to find a largest 4 digit no say abcd such that on dividing this no by 10,15,22 we get remainder of 4,9,10
  and in options middle two no were given
  like 95,65,67 etc...
  so now we know in no abcd bc could be one of the above...
  now apply hit and trail
  to be divisible by 10 and leaving remainder 4, the last no must be 4
  so check for divisibility by 15,22 where last no is certainly 4,and pick each option
  let say i have picked 95 as middle two no.
  i knw last no would be 4,
  so i have a954
  no of choices for a 1,9 as it can't be zero.
  i got my answer when i put 9 in place of a. and it was largest as it's two starting digits were 99 as per given in options.hope u understood now..
• 11 years agoHelpfull: Yes(9) No(5)
• Question:-find the largest 4 digit number which when divided by 10,15,22 leaving the reamainders 4,9,10respectively.
  
  step 1:- let the no. is N
  1 N=22*a+10
  2 N=15*b+9
  3 N=10*c+4
  now in equation 1 put value of a form 0,1,2,3,4....
  and we get 10,32,54,76..
  
  step 2:-now the series divide by 10 and 15 respectively as we want reminder as 6
  and 4.Now we can see When we divide 54 by 10&15 we get 6 & 4 as reminder.
  
  step3:-general equation is N=(lcm of numbers)*p+54
  so N=330*p+54 assume the no. for that we can reach near by questions need
  let p=30 so we get N=9900+54=9954 that is the answer.
  
• 10 years agoHelpfull: Yes(9) No(1)
• 9954 when divided by 10,15,22 gives remainder of 4,9,10
  question is wrong it was leaving remainder of 4,9,10 and the options were
  middle two no are
  a) 88 b)95 c)64
• 11 years agoHelpfull: Yes(7) No(0)
• Sorry to say that the above question is stated wrongly but the correct (or) actual question is
  find the greatest 4 digit number which when divided by 10,11,15,22 leaves 3,4,8,15 as remainder respectively.
  
  a)9907
  b)9903
  c)9893
  d)none
  as none is one of the answer choices, therefore i believe to be on the safer side we must solve it instead of working on the answer choices...!!!
  
  the difference between the divisors and their corresponding remainders is constant and is equal to 7; 10-3=11-7=15-8=22-15=7; also the LCM of the divisors 10,11,15,22=330;
  
  now the largest four digit number is 9999; when we divide 9999 with 330 remainder is 99; therefore largest number that will divide 10,11,15,22=9900 hence our desired answer is 9900-7=9893
• 9 years agoHelpfull: Yes(4) No(1)
• ans - 9954
  let take ' N ' is four digit no
  (let a,b,c are quotient)
  so , forming equation , N =10a + 4 --> 4,14,24,34,44,54,64 (lets take a=0,1,2,3,4,5,6,-,-,----
  N =15b + 9 ------> 9,24,39,54,69
  and N =22c + 10 -------> 10,32.54,76
  common term is = 54 (from eqn of all three N)
  general form of N = Lcm (of all dividend no ) * Y + common no
  N = Lcm(10,15,22) * y + 54
  => N = 330y + 54
  now again use hit and trial method for y (for forming four digit no)
  take y=30
  therefore N = 330*30 +54 =9954 (abcd)
• 9 years agoHelpfull: Yes(3) No(0)
• @ Himanshu & Ravi..can u plz tell d way for solve this question....at here or badshahmit@gmail.com
• 11 years agoHelpfull: Yes(2) No(0)
• its wrong questn.question was
  find the largest 4 digit number which when divided by 10,15,22 leaving the reamainders 4,9,10respectively
• 11 years agoHelpfull: Yes(1) No(0)
• when we divided the largest 4 digit number with 10,15,22 it gives the reamainders 4,9,10.. so the largest 4 digit number is 9954..
• 11 years agoHelpfull: Yes(1) No(0)
• @Ravi 1*22 = 22 now 22 + 10 = 32
  32 * 15 = 480 ; 480+ 9 = 489
  489 * 10 = 4890 ; 4890 + 4 = 4894
  so the number is 4894 ........
  
  
• 10 years agoHelpfull: Yes(1) No(0)
• can not determined.
• 11 years agoHelpfull: Yes(0) No(2)
• Options were given for this question? Then the solutions becomes easy @ravi
• 10 years agoHelpfull: Yes(0) No(0)
• wrong question...leaving the reamainders 4,9,10 respectively not 4,6,10
• 9 years agoHelpfull: Yes(0) No(0)
• i think question is wrong,
  The reminder should be 4,9 and 10 respectively,and if reminder is 4,9 and 10 then our ans will be-->9954
• 9 years agoHelpfull: Yes(0) No(0)
• 9990 is the answer
  first minus the values of remainder from their respective divisors
  so these are 4,9,10
  after that take lcm of these no.s
  LCM 90
  largest 4-digit no is 9999
  9999/90 and it leaves 9 as a remainder
  so that number is 9999-9=9990
• 6 years agoHelpfull: Yes(0) No(0)