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(#M40155102) INFOSYS Logical Reasoning question cryptarithmetic question Keep an EYE

GO+TO=OUT, O+U+T=?

Asked In Infosys arpitadas (9 years ago)

Solved ALANKRITA KUMARI Read Solution (26)

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Read Solution (26) :

Omar  (9 years ago)

Basically you start with a few assumptions:
1. Each letter is a number from 0 to 9.
2. Each number can only be assigned to one of the letters.
We know that O+O=T and T has to be less than 10, therefore O can be a number from 0 to 4.
G+T cannot be over 20 (as the max. number possible in an addition is 9+9=18 plus any carry over from a previous sum (which at the most can be 1) and therefore O can only be 0 and 1.
If O is 0 then T is also 0 and one of our assumptions is broken so O equals 1 and T equals double that (2).
So GO+TO=G1+21=OUT=1U2, G+T=OU so G has to be 8 or 9, if G=9 then U would be 1 and that breaks our second assumptions so G=8 and U=0.
At the O+U+T=1+0+2=3

Is this solution Helpfull? Yes (24) | No (2)  

Aman sharma  (8 years ago)

i studied a algorithm in artificial intelligence for such questions. in such questions we have to assign a number btw 0-9 to character in given equation.and once the number is assigned to any character then it can not be assigned to any other character. for example , we are given :-
G O
+ T O
=O U T
if we consisder this as simple addition then we can see that O+O gives T. lets assign 1 to O. this means value of T will be O(1)+O(1)=T(2). now value of T is 2. now if we move further then we see that G +T = U. now we know value of T is 2. so, we have to assign a number to G such that adding value of T and G gives us carry as 1 so that value of O remains 1. so if we assign 8 to G then G(8)+T(2)=U(10) which means we get value of U as 0 and 1 goes over O as carry and value of is balanced.

basicallly, we have to maintain the value of character once assigned and should assign the value to other characters such that values of previously assigned charcter is not changed.
so, ans of this ques is 1+0+2= 3.

Is this solution Helpfull? Yes (9) | No   

swaroop kumar  (9 years ago)

81+21=102
1+0+2=3

Is this solution Helpfull? Yes (8) | No (3)  

Shyan kumar  (9 years ago)

91
21=
112
1+1+2=4

Is this solution Helpfull? Yes (5) | No (15)  

Akshay Arora  (8 years ago)

as GO+TO=OUT,
O must be 1,
this implies T=2
now G+T=1U
G+2=1U
NOW G CAN TAKE VALUES 9 AND 8,
G CANNOT BE EQUAL TO 9 DUE TO U WILL HAVE VALUE 1 AS U CANNOT HAVE VALUE 1 BCOZ 0 HAS ALREADY VALUE 1,
THIS IMPLIES G=8 THIS IMPLIES U=0,
O=1,T=2,U=0
O+u+T=3

Is this solution Helpfull? Yes (5) | No   

Apurva Kaluskar  (8 years ago)

1) Clearly, O = 1., as it is the carry generated by G + T. a number cannot start from 0 in cryptarithmetic addition.
2) Since O = 1, O + O = 1 + 1 =2. So, T = 2.
3) G + 2 = 10 + U.
If G = 9, U = 1. Which is not valid since O = 1.
So, G = 8 and U = 0.

Hence, O + U + T = 1 + 0 + 2 = 3

Is this solution Helpfull? Yes (4) | No   

ALANKRITA KUMARI  (9 years ago) Best Solution

1+0+2=3 (G+T=OU, O should me either 1 or 2. check fir both the values of O, O=1 is satisfy the equation. )

Is this solution Helpfull? Yes (3) | No (10)  

subhajit chakraborty  (9 years ago)

since 'O' should be 1 ....becz adding two 2 digit nmb if d ans is a 3 digit nmb dn d first digit should alwayz be 1....hence 'O' should be 1....so d solution is (81+21=102) so O+U+T=1+0+2=3;

Is this solution Helpfull? Yes (3) | No (3)  

Divya  (9 years ago)

Go=81
To=21
0ut=102

Is this solution Helpfull? Yes (3) | No (2)  

Deb Atanu  (7 years ago)

G O
T O
-----------
O U T
-----------

'O' must be '1' . Because adding of 2 digit number its the result three digit number then the first digit should be '1'.

So, 'O' must be '1'. Then

G 1
T 1
----------
1 U 2
----------

T = 2

'G ' must be '8'. Because G + T = 1 U. We know the value of T which is 2. So G + 2 = 1 U.

'U' must be '0'. Then 'G' = 10 - 2 = 8

8 1
2 1
--------
1 0 2
--------

Hence, the value of O + U + T = 1 + 0 + 2 = 3. I hope this answer may be correct

Is this solution Helpfull? Yes (3) | No   

P.ARUNA  (9 years ago)

81+21=102
1+0+2=3

Is this solution Helpfull? Yes (2) | No   

MITKARI.SUNIL  (8 years ago)

cloud is rain, rain is water, water is sand.therefore water is sand

Is this solution Helpfull? Yes (1) | No (1)  

ritu chimaniya  (8 years ago)

GO=81
TO=21
OUT=102
O+U+T=1+0+2=3

Is this solution Helpfull? Yes (1) | No   

pragya saxena  (8 years ago)

O=1
G=8
T=2
U=0
FINAL ANS. O+U+T = 1+0+2 = 3

Is this solution Helpfull? Yes (1) | No   

sameer  (8 years ago)

GO
TO
---------
OUT
O MUST B 1 AS SUM OF SINGLE DIGITS CANT EXCEED 18;
THEREFORE 0+0=1+1=2,THERE FORE 'T' IS 2 AND G IS 9 BCZ G+ T(2)=10,G=8
AND U=0;THEREFORE O+U+T=1+0+2=3

Is this solution Helpfull? Yes (1) | No   

Binjal Gohil  (8 years ago)

G+T is something Carry.. Biggest number 9 + 8 =17.. carry is one. and each alphabet has unique number. means O =1,
Hence O+O= 1 + 1 = 2,
hence T=2 and T is start symbol which cannot be zero.
G = 8 because G + T = 8+2 =10 and G is start symbol which cannot be zero.
Hence G=8 and U =0,
Hence O+U+T = 1 + 0 + 2 = 3

Is this solution Helpfull? Yes (1) | No   

guntuku venkatesh  (6 years ago)

when we take maximum carry is 1 so we taken O=1,then we apply O=1 then t=2,and then we submit t=2 then g will take two values either 9 or 8 then there is carry other wise no carry we take 9 carry will be there but we already assain a letter to 1 so we go with 8 then we will the u=0 then
o+u+T=1+0+2=3

Is this solution Helpfull? Yes (1) | No   

Anuj Sahu  (9 years ago)

81+21=102, 3

Is this solution Helpfull? Yes | No   

rajesh kumar gupta  (9 years ago)

GO+TO=56
WHERE G=7,O=15,T=20,U=21
OUT=56=GO+TO
SO, O+U+T=56=D
ANS=D

Is this solution Helpfull? Yes | No (1)  

pragya saxena  (8 years ago)

O=1
G=4
T=2
U=6
FINAL ANS. O+U+T = 9.

Is this solution Helpfull? Yes | No (3)  

Yash Garg  (7 years ago)

81
+21
102

1+0+2=3

Is this solution Helpfull? Yes | No   

pooja  (7 years ago)

G0+TO=OUT
81+21=102

Is this solution Helpfull? Yes | No   

abhinav kumar jaiswal  (7 years ago)

81+21=102

Is this solution Helpfull? Yes | No (1)  

SIJI JOHN  (6 years ago)

3
o = 1
u = 0
t = 2

Is this solution Helpfull? Yes | No   

Urvik Sorathia  (5 years ago)

It is a question from AI -> "Constraint Satisfaction Problem"

1
-------------
GO
+TO
------------
OUT

Clearly for 1-9 addition of 2 nos will result

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LAHARI URNANI  (5 years ago)

TO+GO=OUT G+T=OU O=1;O+O=T =>1+1=T =>T=2; G+T=OU =>G+2=1T =>G=8 OR 9
O+U+T=1+0+2=3

Is this solution Helpfull? Yes | No (1)  

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