Which among the following is the least number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7, when divided by 7 leaves a remainder of 6, when divided by 6 leaves a remainder of 5, when divided by 5 leaves a remainder of 4, when divided by 4 leaves a remainder of 3, when divided by 3 leaves a remainder of 2, when divided by 2 leaves a remainder of 1?
(a)7559
(b)839
(c)5039
(d)None of these

• (Lcm of 10,8,9,7,6,5,4,3,2)- 1 = 2520 -1 =2519
  here 10-9 = 1, 9-8=1, ... 2-1=1
  so the common remainder is 1
  that is why minus 1 from the lcm
• 10 years agoHelpfull: Yes(2) No(0)
• option:-(D)
  whether a number is divided by two or not is 'take the last digit and divide by two if the remainder is zero then total number is divisible by two'
  whether a number is divided by three or not is 'sum of the digits is divide by three if the remainder is zero then total number is divisible by three'
  try for all.......
• 10 years agoHelpfull: Yes(1) No(3)
• lcm of 10,9.....,1 is 2520 so least no is 2519 and second least is 2519*2+1=5039
• 10 years agoHelpfull: Yes(1) No(1)
• 7559
  Take LCM of 10,9,8...2
  We get7560
  Sub 1 we get 7559
• 7 years agoHelpfull: Yes(1) No(0)
• 839 because it is the least number which satisfies all the above conditions
  
  
  
  
• 10 years agoHelpfull: Yes(0) No(3)
• option : (b) correct
  
• 10 years agoHelpfull: Yes(0) No(1)
• c) is the correct answer because 839 when divided by 9 leaves remainder 2.... only 5039 satisfy all conditions.
• 10 years agoHelpfull: Yes(0) No(1)
• if a number is divded by 7 givesr remainder as 5 and by 8 gives R as 6 and by 10 gives R as 8 then the number is
  ans: number = lcm of 7,5,8-k
  k is reaminder
• 4 years agoHelpfull: Yes(0) No(0)
• option 3
  option based
• 3 years agoHelpfull: Yes(0) No(0)