Latest Dell Aptitude Question SOLUTION: Q. Solve ALFA + BETA + GAMA ...... DELTA Every alphabet has a numerical value to satisfy this equation. Find values.

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(#M40007794) DELL HR Interview question Alpha beta Keep an EYE

Q. Solve
ALFA
+ BETA
+ GAMA
......
DELTA

Every alphabet has a numerical value to satisfy this equation.
Find values.

Asked In Dell Ashu (12 years ago)

Solved Vignesh Read Solution (7)

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Read Solution (7) :

Pargat Pal Singh  (12 years ago)

5795
6435
2505
-----
14735

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

Shiv Kumar  (12 years ago)

questions has mutiple answers.

ALFA
BETA
GAMA
......
DELTA

When we are trying to add same number thrice, in result the first digit having the same number is possible with only 5. From So A can be 5 or Zero. In my example I have taken A as 5.
After replacing A by 5 equation looks like
5LF5
+ BET5
+ G5M5
....1.
DELT5
For Above we can conclude F+M+T+1 = T. In other words F+M+1=10.after furhter simplification F+M = 9
Possible values are (0,9),(2,7),(1,8),(3,6),(4,5) and in reverse order as well
In my Example I have taken F as 3 and M as 6 Equation becomes as
5L35
+ BET5
+ G565
...11.
DELT5 ....T can be any value from 0 to 9
Now L+E+5+1=L. Means E+6 =0.. Further simplified as E=4, First Digit becomes Zero. Now Equation Becomes
5L35
+ B4T5
+ G565
..111.
D4LT5......L can be any value from 0 to 9
Now 5+B+G+1 = D4. Assumed all the Alphabets are having numbers from 0 to 9
B+G+6 = D4 Here D can be 1 or 2. I have Assumed D as 1
Now equation becomes B+G = 8
Possible B and G values are (2,6),(0,8),(1,7),(3,5),(4,4) and in reverse order also.

All the above combinations still give you the correct result.

Is this solution Helpfull? Yes (3) | No (5)  

Vignesh  (12 years ago)

Values of ALL those are,
A=5 ; L=7; F=9; B=6; E=4; T=3; G=2; M=0; D=1;
So that,
ALFA = 5795 ; BETA = 6435; GAMA = 2505;

Therefore, ALFA + BETA + GAMA = DELTA
That is, 5795 + 6435 + 2505 = 14735 (which satisfy the conditions)

Really nice question:->

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

Shikha  (12 years ago)

5305
2475
6595
------
14375

Is this solution Helpfull? Yes (2) | No   

Saranjit Singh  (12 years ago)

@ Shiv,

Pls check.

B or G can not have value as 5 because A=5 is fixed ( by you also).
B or G can not be zero or 4 .
B and G can not have same value as 4.
B or G can not be 1 as D can not have value other than 1.

so B and G can have only value of 2 and 6 for which sol is already given by PPS , shikha and Vignesh.

Pls check.

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

sravani  (9 years ago)

There are multiple solutions....
if every alphabet has a unique value then...
A=5
B=2 or 6
E=4
L=3 or 7 or 9
T=3 or 7 or 9
D=1
G=2 or 6
M=3 or 7 or 9
these are all the possible solutions...

Is this solution Helpfull? Yes (1) | No   

Rohit Agarwal  (11 years ago)

here A=5,B=4,G=4,D=1,F=4,T=6,M=5,E=4,L=6
so here is proof
5645
+4465
+4555
........
14665

Is this solution Helpfull? Yes | No (1)  

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