Elitmus
Exam
Logical Reasoning
Cryptography
K N V
AMN
---------
A V E E
S M E W
W E N F
-------------
A N N V G E
Read Solution (Total 11)
-
- we have KNV*N=AVEE , KNV*M=SMEW AND KNV*A=WENF
consider K N V*N=A V E E Also we have S+E+carry=N
Now using hit and trail we found that we have three possibility
N V*N=EE
1) 3 7*3 =1 1 2) 4 7*4=8 8 3) 7 3*7=1 1
Out of three possibility 2 is right one as E cannot be 1 it should be greater than 1
as S + E + carry=N
now
K 4 7 *4= A 7 8 8
Now K should be 9
9 4 7* 4= 3 7 8 8
next we have
9 4 7 * 3=2 8 4 1
next
9 4 7*M=S M 8 2
The only possible value of M=6
now 9 4 7*6=5 6 8 2
now ans is
9 4 7
3 6 4
------------------
3 7 8 8
5 6 8 2
2 8 4 1
-------------
3 4 4 7 0 8 - 10 years agoHelpfull: Yes(14) No(0)
- 947
364
-------------
3788
5682*
2841**
------------
344708 - 10 years agoHelpfull: Yes(4) No(0)
- S + E + carry=N how do uget this step
- 10 years agoHelpfull: Yes(3) No(0)
- To solve any cryptography problem Firstly We have to check the weak point of that question and we have to write it as in equations .. As we have seen that N is used more times than other alphabets...
So we take N*V=E .....(1) and (N*N)+Carry1=E ......(2)again
and third we can see that S+E= N ......(3) And W + Carry=A....(4)...
as it shows S+E generates some carry that is adding in W.
So S and E always greater than 4
means it can be--- S=4,5,6,7,8,9 and E =4,5,6,7,8,9
Now we will check these Four Equations through hit and trial method if we solve these equations than all solution will come easily...
ans is------
we have KNV*N=AVEE , KNV*M=SMEW AND KNV*A=WENF
9 4 7
3 6 4
-------------------------------------
3 7 8 8
5 6 8 2
2 8 4 1
---------------------------------
3 4 4 7 0 8
------------------------------- - 9 years agoHelpfull: Yes(1) No(0)
- 947
364
-------------
3788
5682*
2841**
------------
344708
in this question we found that A=W+1 that will help to solve this question
and another thing we found that
KNV *A=WENF
and N*V=...E
so first take the value of A=2,3,4....
suppose a=3 then must be w=2
now put the value n*v=..e ,check for each value of n and v like 2*7,4*7.....
suppose n=4,v=7 then 4*7=28 so that e=8
now we got the value of n,v,a,w...so now it is easy to solve................ - 9 years agoHelpfull: Yes(1) No(0)
- go for hit and trial .... the big hint in this qstion is
knv
*
--------
avee
go for every set of valye for v and n
947
364
*
--------
3788
5682
2841
------------
344708 - 9 years agoHelpfull: Yes(1) No(0)
- plz explain
- 10 years agoHelpfull: Yes(0) No(0)
- 947
364
....................
3788
5682
2841
.......................
344708 - 10 years agoHelpfull: Yes(0) No(0)
- 947
364
-------------
3788
5682
2841
_________
344708 - 10 years agoHelpfull: Yes(0) No(1)
- do any common qutn comes from here
- 9 years agoHelpfull: Yes(0) No(0)
- k=9
N=4
V=7
A=3
M=6
E=8
W=2
S=5
F=1
G=0 - 9 years agoHelpfull: Yes(0) No(0)
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