Question

If the word FRUIT is coded as 58281, then the word GRAPES is coded as :

(1) 608604 (2) 680460

(3) 680640 (4) 686040​

Answer 1

Answer:

Hey mate! Your answer.. :-P

If the word FRUIT is coded as 58281, then what is the word Grapes coded as?

SOLUTION:

FRUIT à 58281

Let us take the numerical value of the alphabets as per the their position in the alphabet List

Like A is 1 , B is 2 and so on

So : FRUIT , F = 6 R= 18 U = 21 I = 9 T = 20

Summing the digits :

F = 0+6 = 6

R = 18 = 1 +8 = 9

U = 21 = 2 +1 =3

I = 0 + 9 = 9

T = 20 = 2+0 = 2

Now looking at the question FRUIT is coded as 58281 which means all the alphabets numerical value is subtracted by 1 so taking that into context

F = 0+6 = 6 = 6-1 = 5 , R = 18 = 1 +8 = 9 = 9-1 =8 , U = 21 = 2 +1 =3 = 3-1 = 2

I = 0 + 9 = 9 = 9 – 1 = 8, T = 20 = 2+0 = 2 = 2 -1 = 1

Combining them FRUIT = 58281

Now Applying the Same Concept for GRAPES coding, G=7, R=18, A=1, P=16, E=5, S=19

G = 7 = 0 + 7 = 7 , R = 18 = 1+8 = 9, A = 1 =0+1 = 1,P = 16 = 1+6 =7,E = 5 = 0+5 =5

S=19 = 1 +9 = 10 = 1+0 = 1

Now subtracting 1 from all the alphabets numeric values

G = 7 = 0 + 7 = 7 = 7-1 =6

R = 18 = 1+8 = 9 = 9-1 = 8

A = 1 =0+1 = 1 = 1-1 =0

P = 16 = 1+6 =7 = 7-1=6

E = 5 = 0+5 =5 = 5-1 =4

S=19 = 1 +9 = 10 = 1+0 = 1 = 1-1 = 0

So Now the GRAPES will be coded as 680640

Thanks