Question Details

In a code language, 'DINESH' is coded as 12-27-42-15-57-24 and 'VIRAT' is coded as 66-27-54-3-60. How will 'GAUTAM' be coded in the same language?

Options

A

24-7-61-34-5-31

B

26-7-25-67-4-37

C

21-3-63-60-3-39

D

29-9-55-47-8-28

Show Answer

Correct Answer :

Option C

21-3-63-60-3-39

Solution :

The correct answer is 21-3-63-60-3-39.

Logic:
Each letter of the word is assigned a numerical value based on its position in the standard English alphabetical order (A = 1, B = 2, ..., Z = 26). The coded value for each letter is obtained by multiplying its positional rank by 3.

Let us verify the pattern for the word 'DINESH':

D = 4 ⇒ 4 × 3 = 12
I = 9 ⇒ 9 × 3 = 27
N = 14 ⇒ 14 × 3 = 42
E = 5 ⇒ 5 × 3 = 15
S = 19 ⇒ 19 × 3 = 57
H = 8 ⇒ 8 × 3 = 24
Thus, 'DINESH' is coded as 12-27-42-15-57-24.

Similarly, for the word 'VIRAT':

V = 22 ⇒ 22 × 3 = 66
I = 9 ⇒ 9 × 3 = 27
R = 18 ⇒ 18 × 3 = 54
A = 1 ⇒ 1 × 3 = 3
T = 20 ⇒ 20 × 3 = 60
Thus, 'VIRAT' is coded as 66-27-54-3-60.

Now, applying the exact same pattern to 'GAUTAM':

G = 7 ⇒ 7 × 3 = 21
A = 1 ⇒ 1 × 3 = 3
U = 21 ⇒ 21 × 3 = 63
T = 20 ⇒ 20 × 3 = 60
A = 1 ⇒ 1 × 3 = 3
M = 13 ⇒ 13 × 3 = 39

Therefore, 'GAUTAM' will be coded as 21-3-63-60-3-39.

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