you are given a number Q < 200. you have to calculate sum of All Q such that when Q divided by 5 or 7 gives remainder 2?

• for 5
  7 12 17.........197....39 terms sum=3978
  for 7
  9 16 23 30.......198...28 terms sum =2848
  but some terms are counted more than 1 ..ie which are common in 5 and 7
  eg 37 72 107 142 177..sum=535
  so 6876-535=6341
  
• 11 years agoHelpfull: Yes(61) No(16)
• first of all take LCM of 5 and 7 that will be 35 .since both give a remainder 2.then first value will be 35*1+2=37,second will be 35*2+2=72,third will be 35*3=107,and so on 142,177.and the sum of all these number is =37+72+107+142+177=535.
• 11 years agoHelpfull: Yes(22) No(19)
• @ Ankur,
  Is there any reason for not considering Q=2 ?
  
  In that case , sum of All Q such that when Q divided by 5 or 7 gives remainder 2 = 2+37+72+107+142+177=537
• 11 years agoHelpfull: Yes(17) No(14)
• In question Q must be divided by "5 or 7" not "5 and 7"...and gives remainder 2
  Let see first case when Q is divided by 5 and leaves remainder 2
  in that case series
  S1 will be 2,7,12,17,22....197= 40 terms
  and sum will be
  S1= 3980
  
  In second Case when Q divided by 7 and leaves remainder 2
  Series will be S2= 2,9,16,23...198= 29 terms
  And sum will be S2= 2900
  
  Total Sum will be 3980+2900=6880
  But some terms are in common
  which are 2, 37, 72,107, 142,177
  Total= 537
  So finally 6880-537=6343 will bw sum of all Q divided by 5 or 7 gives remainder 2..
  Yes answer will be 537 if Q divided by "5 and 7"
• 10 years agoHelpfull: Yes(14) No(1)
• hi SDeep Bhattacharya ,sorry for ignore number 2.answer will be 537.you are right .
• 11 years agoHelpfull: Yes(7) No(7)
• 6351
  because the sum means on dividing by 5 like no 7 ,12 ,17.......197 =39 terms in AP with difference 5
  =3978
  now no. divided by 7 like 9 ,15, ...................198= 28 terms in AP with difference d=7 so =2898
  now some terms like 37,72,107,142,177 are common in both series
  so=3978+2898=6876 and subtracting 535=
  6341 is correct ans my dear friend
• 11 years agoHelpfull: Yes(7) No(8)
• they given 5 or 7 it means they can be 7,9,12,16..............
  so the answer is 6876
• 11 years agoHelpfull: Yes(6) No(3)
• 6351
  because the sum means on dividing by 5 like no 7 ,12 ,17.......197 =39 terms in AP with difference 5
  =3978
  now no. divided by 7 like 9 ,15, ...................198= 28 terms in AP with difference d=7 so =2898
  now some terms like 37,72,107,142,177 are common in both series
  so=3978+2898=6876 and subtracting 535=
  6341 is correct ans
• 11 years agoHelpfull: Yes(5) No(0)
• how can u take 2...
• 11 years agoHelpfull: Yes(1) No(1)
• 37, 72,107,142,177 non other than these no.s will be counted when diveide by 5 or 7 it will give 2 as common reminder.
• 10 years agoHelpfull: Yes(1) No(0)
• for 5
  7 12 17.........197....39 terms sum=3978
  for 7
  9 16 23 30.......198...28 terms sum =2848
  but some terms are counted more than 1 ..ie which are common in 5 and 7
  eg 37 72 107 142 177..sum=535
  so 6876-535=6341
  But we have to add 2 also...so 6341+2=6343 answer
• 10 years agoHelpfull: Yes(1) No(0)
• 1186 ///////
• 11 years agoHelpfull: Yes(0) No(1)
• lcm 5&7=3
  no . will be 37 72 107 142 177 (35*1+2....35*5+2)...
  these no are in ap... sum is 535
  thus 535
• 10 years agoHelpfull: Yes(0) No(0)
• 6343 is correct
  
• 9 years agoHelpfull: Yes(0) No(0)