Elitmus
Exam
Logical Reasoning
Cryptography
AGE
*OAT
------------------
SOAR
HOG.
GOTO..
------------------
GECOIR
Read Solution (Total 5)
-
- 317
538
---------
2536
951
1585
--------
170546
--------- - 11 years agoHelpfull: Yes(9) No(1)
- Can you please explain how you assign the value for each number????
- 11 years agoHelpfull: Yes(8) No(0)
- 317
*538
_____
2536
951
1585
_____
170546 - 11 years agoHelpfull: Yes(2) No(1)
- 317
538
____
2536
951
1585
_____
170546 - 10 years agoHelpfull: Yes(1) No(0)
- 1) AGE * T = SOAR
2) AGE * A = HOG ( i.e A is a small no.)
3) AGE * O = GOTO ( here E * O gives O, so O can be either 0 or 5, but O can not be 0 as AGE * 0 = 000 (OOO); this implies O is 5 & E is an odd no.)
so putting O as 5 we have AGE * 5 = G5T5 (from here we have G * 5 does not generates a carry as A * 5 gives G5 and that's possible only if G=1 (A1E*5=15T5) which implies A=3)
so now the crypt is like ->
31E
x 53T
--------
S53R
H51x
15T5xx
----------
1EC5IR ( from here we have I = (3+1) = 4 and C = (5+5+5) = )
Again from 31E * 3 = H51 ( i.e. E * 3 = 1 + carry =2 as next 1 * 3 =3 + carry =5 which left us with the fact that E * 3 = 21 so E = 7. and again we have 3 * 3 = 9 == H; one more thing 317 * 5 = 1585 so T=
now we have
317
x 538
----------
S53R
951x
1585xx
----------
17C54R
and now it looks easier
1) 317 * 8 = 2536 (so S = 2, R = 6)
2) So, the result will be 170546 and Thus C= 0
0.C
1.G
2.S
3.A
4.I
5.O
6.R
7.E
8.T
9.H
Hence The Problem Is Solved. QED - 10 years agoHelpfull: Yes(1) No(0)
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