Elitmus
Exam
Logical Reasoning
Cryptography
K N V
* A M N
---------------------
A V E E
N M E W
W E N F
-----------------------------------
A N N V G E
Read Solution (Total 12)
-
- K N V
A M N
-------
AVEE
NMEW
WENF
-------
ANNVGE
947
364
----
3788
5682
2841
------
344708
in this question 2nd row is wrong,NMEW
where already take n=4 but according to answer,n valu comes in 2nd row is 5,so N can be replace in other word,then this problem is right..................
rule 4 solving this problem is.....
in last column N+E=N and some carry generate so E must be 8/9 again check N*V=E
N*N=E
so E=9 never comes,then conform the value of E=8
so V=7 also conform
in first solution row AVEE,already v=7 taken then N*K=end with 7 and previous 1 carry come,so K=9 conform,then A=3 conform
now u can multiply with
KNV
A
-----
WENF
then F=1 conform also multiply the above value we can find W=2
so in middle row take
KNV
M
----
BMEW
where we assume n=b is correct choice
we know W=2 so 7 multiply end with 2,then find the value of M=6
THIS IS THE WAY TO SOLVE THIS CRYPTO - 10 years agoHelpfull: Yes(13) No(7)
- just guess W and write the others corresponding values
===W====A=(W+1)==M=(9-A)===V=(MV=_W)===F=(A*V)===E=(V*N=_E)
IF 1====2========7=========3=(7*3=21)==6=========8=====
IF 2====3========6=========7===========1=========8====
the 1st line contradict the fact KNV*N=--EE,SO THe solution will be 2nd one
other digits you can easily find.. - 10 years agoHelpfull: Yes(3) No(1)
- this is wrong q
- 10 years agoHelpfull: Yes(3) No(0)
- 947*
364
.....
3788
5682
2841
--------
344708
- 10 years agoHelpfull: Yes(2) No(6)
- @dilip if u r taking N=4 in(W E N F) then how u r taking N=5 in (N M E W)
- 10 years agoHelpfull: Yes(2) No(0)
- here the piont which should be consider is
N*V=E,
N*N=E...so what will be the output of N*N so after adding carry the no will be E
N*V=4*7=28(here we get N=4,V=7,E=8)
N*N=4*4=16(16+2=18...2 as carry of N*V)
and at last we have to find the value of K
so here we the value of V as 7
N*K=AV
4*K=A7..after adding carry which is 1 from N*N
N*K=4*9=36...after adding carry 37
so here we get the value of A as 3
so after multiplying with A we get the value of W which is 2
so to find the value of M we have a relation
M*V=W
6*7=2
after that we can find all the values as
947
364
--------
3788
4682
2841
---------
344708 - 10 years agoHelpfull: Yes(2) No(5)
- .there occur two values for N ie.======= 4 and 5 for the soln 947*364
i think it is not possible to have two values for the single charcter in a particular question...........
- 10 years agoHelpfull: Yes(1) No(0)
- 2nd row of multiplication, place of N M E W it should be * M E W (Where * = any value different than N )
- 10 years agoHelpfull: Yes(1) No(0)
- please explain me how you have solved these problems ...step by step
- 10 years agoHelpfull: Yes(0) No(0)
- How @Asim Kumar
- 10 years agoHelpfull: Yes(0) No(0)
- refer www.cryptarithmetic.in lot of prob. with solution
- 10 years agoHelpfull: Yes(0) No(0)
- THIS QUES IS WRONG
- 9 years agoHelpfull: Yes(0) No(0)
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