Q Z F
R Q A
------------------
S A X V
S W F S
X S A X
- ----------------------
X X R Q Q V

• Its very simple.... its clear that S cant be more than 4 as it will lead to a carry which is not feasible...
  so start putting values for S=1,2,3,4
  For S=1
  we can take Q=3 and F=7 or reverse as only multipication of 7 with 3 and 9 with 9 results to unit digit of 1
  when s=1, x=2
  so we have to take R in a way whose multipication with 7 results in a unit digit of 2 that is possible with 6 only so take R=6
  Now here S=1 and X=2 so Q comes as 3
  If you proceed with this u will find that addition of X and S is not generating any carry therefore to make unit digit of addition A, F and X as 3 we need to take A as 4
  When A=4, V=8
  Solve further u will easily get z=5 and w=0
• 9 years agoHelpfull: Yes(24) No(1)
• hint is to find out that s= 1,2,3,4, bcas we have s+s+carry=x
  so by taking s=1 ill start my procedure.
  nw we can have carry=0,1,2
  so ill start with carry=0
  with s=1 and carry=0
  1+1+0=> x=2
  we have s=1,x=2 now
  and we have a hint here that x+s=Q
  so 2+1=> Q=3
  
  nowe have s=1 Q=3 x=2
  
  in multiplication it is simple to solve from 2nd row bcas we have repetition of letter S
  
  QZF*Q=SWFS
  
  =>3ZF*3=1WF1
  no to get last digit 1 we have to sub F=7
  
  =>3Z7*3=1W71
  => no we must get F=7 on RHS
  so go on substituting z=4,5,6...
  at z=5 it will satisfy our equation
  
  so => 357*3=1071
  
  itsclear that z=5 and w=0
  
  no we have Q=3, s=1,x=2, Z=5, W=0, F=7
  
  
  
  now we have in third column form right hand side that A+F+X=carry+ Q
  
  =>A+7+2=carry+Q
  =>9+A=carry+Q
  =>to get Q=3 we must have A=4
  =>so A=4
  
  now ill take 1st row to get A
  
  QZF*A=SAXV
  
  => 357*4=142V
  => from this equation to satisfy this we must have v=8
  
  now we have v=8,A=4
  
  now from 4th column from right hand side S+W+A+1(carry)= R
  => 1+0+4+1=6
  soR=6
  
  i think i got it now
  
  357
  * 634
  ---------
  1428
  1071
  2142
  ----------
  226338
  ----------
  
  
  
  
• 9 years agoHelpfull: Yes(10) No(1)
• 3 5 7
  6 3 4
  --------------------
  1 4 2 8
  1 0 7 1
  2 1 4 2
  --------------------
  2 2 6 3 3 8
• 9 years agoHelpfull: Yes(7) No(0)
• 357
  *634
  ---------------
  1428
  1071
  2142
  --------------------------
  226338
  
  
• 9 years agoHelpfull: Yes(2) No(0)
• please explain it
• 9 years agoHelpfull: Yes(1) No(0)
• try to find clue..
  nd here 2S + Carry= X
  now carry, can be 0,1,2;
  
  so, probable values of S=1,2,3,4;
  and X=2,3,4,5,6,7,8,9;
  now you can easily optimize the value of R,Q,F corresponding to each value of X and S;
  lets assume when carry =0;
  then S= 1,2,3,4
  nd corresponding value of X= 2,4,6,8;
  
  now suppose S=1; then X= 2;
  now see the nest clue
  R * F=X and
  Q * F=S;
  now if S =1;then Q=3 or 7 and F=7 or 3 so R=6 or 4;
  now proceed with Q = 3,f =7 , R =6;
  
  Q Z F
  R Q A
  ------------------
  S A X V
  S W F S
  X S A X
  - ----------------------
  X X R Q Q V
  
  
  then you will find Z must be 5;
  now the solution is:
  
  3 5 7
  * 6 3 4
  ---------------------------------
  1 4 2 8
  1 0 7 1
  2 1 4 2
  --------------------------
  2 2 6 3 3 8
  
  and the worst part is i cudnt solve it in the xam hall..but yes juss after in the bus i crackd it
  
• 9 years agoHelpfull: Yes(1) No(0)
• s
• 9 years agoHelpfull: Yes(1) No(0)
• do we get options in these type of problems?? plz help...
• 9 years agoHelpfull: Yes(1) No(0)
• S cant be more than 4,SINCE THERE IS NO CARRY(x=x)
  now for S=1,X will be 2 and Q=3
  NOW
  WE HAVE 3ZF*3=1WF1 => so F must be 7
  
  So- 3Z7*3=1W71 by checking we will get Z=5 and W=0
  therefore 357*3=1071
  now 357*R=21A2 SO must be 6
  Hence 357*6=2142(A=4)
  so finally-
  357
  *634
  1428
  1071
  2142
  226338
• 8 years agoHelpfull: Yes(1) No(0)
• 357
  *634
  -------------
  1428
  1071
  2132
  --------------
  226338
• 9 years agoHelpfull: Yes(0) No(0)
• Q#3, Z#5, F#7 , R#6 ,A#4 ,S#1 ,W#0 ,X#2 , V#8.
• 8 years agoHelpfull: Yes(0) No(0)
• USE HIT AND TRIAL FOR F & A starting from 2 to 9 hint is
  QZF
  * Q
  ------
  SWFS
  -------
  ANS:- 357
  *634
  -----------------------
  1428
  1071
  2142
  ---------------
  226338
• 8 years agoHelpfull: Yes(0) No(0)