Q. How many numbers between 100 and 600 divisible by 4 and 6.

• no. divisible by 4 & 6 will be divisible by LCM of 4,6=12
  betn 100 & 600, no. divisible by 12 are
  108,120,132,...,588
  series is AP whose a=108,d=12,l=588,n=no. of terms
  l=a+(n-1)*d
  or 588=108+(n-1)*12
  or 480=(n-1)*12
  or 40=n-1
  or n=41
  
• 11 years agoHelpfull: Yes(17) No(1)
• 41 numbers, all the nos. divisible by 12(lcm of 4,6) will be divisible by 4&6,I no. greater than 100 divisible by 12 is 108, and last no. divisible by 12 will be 588, so an ap with common difference 12 will be formed whose first term is 108 and last term is 588, using formula for ap; i.e. general term a+(n-1)d, we get n=41
• 11 years agoHelpfull: Yes(0) No(1)
• 5*5*3+5*5*2+1=126
• 10 years agoHelpfull: Yes(0) No(3)