Latest Infosys Aptitude Question SOLUTION: A + B + C +D = D + E + F + G = G + H + I =17. If A = 4. What are the values of D and G. Each letter taken only one of the digit from 1 to 9.

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(#M40000028) INFOSYS Logical Reasoning question Keep an EYE

A + B + C +D = D + E + F + G = G + H + I =17. If A = 4. What are the values of D and G. Each letter taken only one of the digit from 1 to 9.

Asked In Infosys (14 years ago)

Solved Tijo Jose Read Solution (13)

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Read Solution (13) :

shivangi verma  (9 years ago)

hi guys plz tell me frm whr should i prepare for cryptography??? plz tell me the online site..thanx in advance..:)

Is this solution Helpfull? Yes (11) | No   

supriya barkund  (8 years ago)

Each alphabet represent unique digit from 1-9
A B C D E F G H I
1 2 3 4 5 6 7 8 9
equation for this...
1+2+3+.....+9=9(9+1)/2=45---------eq(1)


A+B+C+D=D+E+F+G=G+H+I=17
hence...
A+B+C+D+D+E+F+G+G+H+I=17+17+17

45+D+G=51
45-51=D+G
6=D+G given that D=4
G=2

Is this solution Helpfull? Yes (11) | No (5)  

Lokesh Kumar Saini  (8 years ago)

A+B+C+D=D+E+F+G=G+H+I=17
=>
A+B+C+D+D+E+F+G+G+H+I=17+17+17=51
=> D+G=6
=>D=1 and G=5
or D=2 and G=4 and vise versa.
(But, Since A is already 4. So last is not possible ).
Thus possible values are D=1 and G=5 or vise versa => G=1 and D=5.

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

Harish  (6 years ago)

Well we consider the given conditions first.
A=4
'A' to 'I' takes values from 1 to 9
Step (i): sum all of them
(A + B + C +D) + (D + E + F + G )+ (G + H + I) =17+17+17
Step (ii): Sum of 1+2+3+.....+9= 45
i,e; A + B + C + D + E + F + G + H + I = 45
Step (iii): Separating excess D & G present in Step(i), we get
45+(D+g) = 51
=> D+G = 6
where as possible combinations are: (1+5), (2+4), (3+3). Since A=4 and numbers don't get repeated, we are left with 1&5.

Is this solution Helpfull? Yes (3) | No (1)  

Tijo Jose  (14 years ago)

The numbers satisfying the conditions are (in the order ABC D EF G HI)
426 5 38 1 79
426 5 38 1 97
426 5 83 1 79
426 5 83 1 97
462 5 38 1 79
462 5 38 1 97
462 5 83 1 79
462 5 83 1 97

In all cases, D=5 and G=1

Is this solution Helpfull? Yes (2) | No (10)  

reshma  (9 years ago)

can u plz explain how ?

Is this solution Helpfull? Yes (1) | No   

Sanal Jose  (14 years ago)

All numbers satisfying the condition are (in order ABC D EF G HI)

426 5 38 1 79
426 5 38 1 97
426 5 83 1 79
426 5 83 1 97
462 5 38 1 79
462 5 38 1 97
462 5 83 1 79
462 5 83 1 97

In all cases, D=5 and G=1

Is this solution Helpfull? Yes | No (5)  

aryan  (10 years ago)

D=5 AND G =1

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Saikat Saha  (10 years ago)

Answer please?

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tamminaidu  (8 years ago)

55
dsad
asdasd

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harshita gupta  (8 years ago)

A=4
B=9
C=3

D=1

E=4
F=5

G=7

H=8
I=2

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RAJASREE.S  (8 years ago)

can u pls explain how?

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Prachi Varshney  (6 years ago)

A- 4
B-5
C-2
D-6
E-7
F-1
G-3
H-5
I-9

Is this solution Helpfull? Yes | No (1)  

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