Four metal rods of lengths 78cm,104cm ,117cm and 169 cm to be cut into parts of equal length.Each part must be as long as possible.What is maximum number of pieces that can be cut.

Option

1.)27
2.)36
3.)43
4.)480

• hcf of 78,104,117,169= 13
  
  no of pieces will be=78/13 + 104/13 + 117/13 +169/13 =36
• 9 years agoHelpfull: Yes(1) No(0)
• Ans :36
  
  Find HCF of 78, 104, 117, 169 (in CNS)
  
  13cm
  
  1.78 in 6 p
  2.104 in 8 p
  3.117 in 9 p
  4.169 in 13p.
  
  Total 6+8+9+13=36 equal pieces
• 9 years agoHelpfull: Yes(1) No(1)
• 36....take the hcf of 78 104 117 and 169 is 13...now device each number by 13 and add the results
• 9 years agoHelpfull: Yes(0) No(1)
• hcf of given numbers is 13 so from the given lengths we get6+8+9+13=36 pieces of same length rods
• 9 years agoHelpfull: Yes(0) No(1)