Q. What Will be the least possible no of planks ,if three pieces of timber 42m,49m,63m long divided into the planks of same length?

Options
a) 7
b) 8
c) 22
d) None of these

• 22
  42/7+49/7+63/7=22
• 11 years agoHelpfull: Yes(14) No(0)
• it is mentioned in ques that least possible no of planks,
  first calculate the h.c.f of 42,49,63
  i.e 7
  then no of pieces =42/7+49/7+63/7=22 ans
• 11 years agoHelpfull: Yes(10) No(0)
• c)since the given length
  are as 7*6,7*7, 7*9
  and the multiple factors are 6,7,9 out of which one is even ,one is odd and one is prime thus not giving us the desired division...
  thus equal division is only possible if we divide them by their only common divisor i.e. 1..
  so the minimum no.of planks= 9+6+7 =22
• 11 years agoHelpfull: Yes(2) No(0)
• ans:22
  the given sizes are 42,49,63
  maximum size of a plank = h.c.f of 42 49 63=7
  now least possible no of planks=42/7 + 49/7 + 63/7 = 6+7+9=22
• 11 years agoHelpfull: Yes(2) No(0)
• 7
  hcf of three nos.
• 11 years agoHelpfull: Yes(1) No(6)
• Least Poosible No.=?
  so H.C.F of pieces of timber: (7*3*2)(7*7)(7*3*3)=7
  Least Poosible No.=42/7+49/7+63/7=6+7+9=22
• 11 years agoHelpfull: Yes(1) No(0)
• by hit and trial both 7 and 22 are correct but 7 is least..
• 10 years agoHelpfull: Yes(1) No(0)
• HCF of 42, 49, 63 = 7
  Therefore required no. of plancks = 42/7+49/7+63/7=22
  
• 9 years agoHelpfull: Yes(1) No(0)
• 42/7=6
  49/7=7
  63/7=9
  so 6+7+9=22
  
• 11 years agoHelpfull: Yes(0) No(0)
• 22 must be the answer
• 10 years agoHelpfull: Yes(0) No(0)
• 22
  42/7=6
  49/7=7
  63/7=9
• 10 years agoHelpfull: Yes(0) No(0)
• 1001)xxyyzz(xx(y-1)
  xoox
  -----------
  ox(y-1)(y-x)zz
  xo o x
  --------------------
  0(y-1)(y-x-1)(z-x)z
  (y-1)0 0 y
  -------------------------------------
  anything less than 1001
  
  so we have xx(y-1) and y-1 is on the unit place
• 9 years agoHelpfull: Yes(0) No(0)
• In this quetion we want to find no of least possible planks then 1st we have to find hcf
  i.e; hcf of(42,49,63) is 7 then,
  no of planks is=42/7+49/7+63/7=22.
• 6 years agoHelpfull: Yes(0) No(0)