Question: In a code language January is coded as 1152337265474, how would you…
2024
Question:
In a code language January is coded as 1152337265474, how would you code OCTOBER in the same language?
Answer: B. 1672931274167 — Key idea: for the nth letter in the word, add n^2 (the square of n) to the letter's alphabetical position. Concatenate those resulting numbers to get the…
- A.
1672931174167
- B.
1672931274167
- C.
1672928273545
- D.
1652928174167
Attempted by 107 students.
Show answer & explanation
Correct answer: B
Key idea: for the nth letter in the word, add n^2 (the square of n) to the letter's alphabetical position. Concatenate those resulting numbers to get the code.
Check with the given example JANUARY:
J (10) + 1^2 = 11
A (1) + 2^2 = 5
N (14) + 3^2 = 23
U (21) + 4^2 = 37
A (1) + 5^2 = 26
R (18) + 6^2 = 54
Y (25) + 7^2 = 74
Concatenate: 11 5 23 37 26 54 74 → 1152337265474 (matches given)
Now encode OCTOBER using the same rule:
O (15) + 1^2 = 16
C (3) + 2^2 = 7
T (20) + 3^2 = 29
O (15) + 4^2 = 31
B (2) + 5^2 = 27
E (5) + 6^2 = 41
R (18) + 7^2 = 67
Concatenate these results: 16, 7, 29, 31, 27, 41, 67 → 1672931274167