Elitmus
Exam
Logical Reasoning
Cryptography
H A T
* C U P
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E I U I
E A R T
E U P I
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H I E E E I
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Read Solution (Total 10)
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- 345
*876
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2070
2415
2760
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302220 - 11 years agoHelpfull: Yes(8) No(6)
- from u*t=t, we can say t=5,and multiples of T have 5,0 as last digits..hence T=5 and I=0..
now from last 2 column U+5=10+E..(since if there is no carry then the result of 3 column would be R)..
from first 2 column we get E+U+Carry=10...
By comparing these both 2nd columns,we get E=2,u=7,H=3,R=1..from here u can get the answer - 10 years agoHelpfull: Yes(4) No(0)
- 345
*876
______
2070
2415
2760
______
302220
Firs we try to look or 1 & 0 or obvious clues-->>
Since U*T=XT (Ends with T) We check The possibilites where( U+T=1E ) and we get
2 possibilities i.e --> (U=7,T=5 & U=6,T=8).
'E' is at he end of the number it can't be 0 similary leaving all the end numbers we get three possiblities of '0' i.e(A,I,R), checking the same we get 'I' AS '0'
Seing the pattern that 'T' multiplied with any number we get either 0/5 so T=5 and we get U AS 7.Substituting the numbers we get 'H' as 3 since E=2 AND U=7. Cross checking again we get all the digits. - 10 years agoHelpfull: Yes(1) No(0)
- Consider U*T=T and U+T=E... lets go through the assumption.... probably E can not be larger values.
So consider E - 11 years agoHelpfull: Yes(0) No(1)
- Consider U*T=T and U+T=E... lets go through the assumption.... probably E can not be larger values.
So consider E - 11 years agoHelpfull: Yes(0) No(1)
- Consider U*T=T and U+T=E... lets go through the assumption.... probably E can not be larger values.
So consider E - 11 years agoHelpfull: Yes(0) No(2)
- 345
* 876
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302220
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Consider U*T=T and U+T=E... lets go through the assumption.... probably E can not be larger values.So consider E C=8.
- 11 years agoHelpfull: Yes(0) No(1)
- t*u=t
hence t is 5... nd multiple of 5 is 5 nd 0 hence i=0
this will help for further solution :)
345*876 - 10 years agoHelpfull: Yes(0) No(1)
- Now see 3rd column from first ..E+A+P=10+E...which implies A+P=10..see all the combinations for 10..
(1,9),(2,8),(3,7),(4,6)..only 4,6 satisfy..hence A=4,P=6 ...hence solved - 10 years agoHelpfull: Yes(0) No(0)
- What does this question really mean???
- 8 years agoHelpfull: Yes(0) No(0)
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