How many numbers in the set X if it has only odd number between 100 and 300 and divisible by 3........?

• the series is- 105,111,117------------297
  here
  a=105, d=6,
  as Tn=a+(n-1)d
  so,
  297=105+(n-1)6
  =>n-1=32
  so, n=33
  
  ANS=33
• 9 years agoHelpfull: Yes(36) No(9)
• the series is:105,111.........297
  a=105,d=6,tn=297
  tn=a+(n-1)d
  297=105+(n-1)6
  n=33.
• 9 years agoHelpfull: Yes(7) No(3)
• Ans:33
  
  
  
  
• 9 years agoHelpfull: Yes(3) No(0)
• the series would be 102,105.......297
  297=102+(n-1)3 =>
  n=66
  ANS- 66
• 9 years agoHelpfull: Yes(2) No(18)
• 105, 111.......,297
  297=105+(n-1)6
  n= 33
• 9 years agoHelpfull: Yes(2) No(2)
• the series would be 102, 105,108 and so on the last being 300 so no of terms wouldbe (300-102/3)+1 (Last term -first term/common difference)+1 and so the answer is 67
• 9 years agoHelpfull: Yes(2) No(2)
• The Series Starts From 102 And Ends At 300.
  So, Tn = a + (n-1)*d
  Tn=300, a= 102, d= 3
  300 = 102 + (n-1)*3
  => (n-1) = (300 - 102)/3 = 66
  => n=66 +1 = 67
  Hence, n= 67 ::::::::::::::::: :)
• 9 years agoHelpfull: Yes(2) No(2)
• Sorry, My Mistake ---- Answer Is 33 = 67/2 (For Odd And Even)... So Odd = 33 And Even = 34...::::::: :)
• 9 years agoHelpfull: Yes(2) No(0)
• If both 100 and 300 included then answer would be 67 terms....
• 9 years agoHelpfull: Yes(1) No(6)
• 33 becoz i am saying
• 9 years agoHelpfull: Yes(1) No(0)
• Dude !! Question Is To Find Odd numbers So Ans is [67/2] = 33
• 9 years agoHelpfull: Yes(1) No(0)
• 8 numbers will be there
  111,117,135,153,159,171.177,195,
• 9 years agoHelpfull: Yes(1) No(0)
• first number=105 last=297 diff=6
  total no=last-first/diff+1
  33
• 9 years agoHelpfull: Yes(1) No(0)
• term=105,111,117............,297
  no. of term=297-105/6=32+1=33
• 9 years agoHelpfull: Yes(1) No(0)
• no. of odd terms b/w 100 to 300 =100
  105,107,.......297;
  l=a+(n-1)d; =>n=33
  
• 9 years agoHelpfull: Yes(0) No(0)
• answer is 34
• 9 years agoHelpfull: Yes(0) No(0)
• the answer is 67 since 300 is also included
• 9 years agoHelpfull: Yes(0) No(0)
• The first odd no b/w 100-300 is 105 it divisible by 3. the serise is - 105,111,117.........upto 297.so
  first term=105 last term=297 and d=6 (d is the difference between terms of the arithmetic progression)
  (last term) - (first term)/difference 1.
  now, (297-105)/6+1 =>34+1=35 is ans
• 9 years agoHelpfull: Yes(0) No(1)
• series like start is 105,111,117,...........297..(1)
  not start 102,105 bcz it is also divisible by 6
  so now equation 1 behaves like A.P.
  we know that
  tn=a+(n-1)d
  297=105+(n-1)6
  n=33 . is the correct answer.
  
• 8 years agoHelpfull: Yes(0) No(0)
• correct answer is 33
  EXPLANATION:
  x={105,111,117,...............297} it all number is divisible by 3
  accn to arithmetic progression
  a=105 ,d =6, tn =297
  we know that
  tn = a+(n-1)d
  297=105+(n-1)6
  192=(n-1)6
  32=n-1
  n=33
• 8 years agoHelpfull: Yes(0) No(0)
• No. divided by 3 between are (102,105,108,111,114,117,........... , 297, 300)
  but we need only odd numers.
  so,
  the series is:105,111.........297
  a=105,d=6,last number(l)=297
  l=a+(n-1)d
  297=105+(n-1)6
  n=33 answer
• 2 years agoHelpfull: Yes(0) No(0)