Question

If ACEGI is written as 13579, what will BDFHJ be written in the same code ?

• A. 12345
• B. 246810
• C. 24689
• D. 235710

Hint:

Replace each letter by its place in the alphabet.

Answer 1

The Correct Option is B

Step 1: Concept
In letter-to-number coding, the simplest rule is that each letter stands for its place in the alphabet. We first test this rule on the given example.

Step 2: Test the rule on ACEGI
A is the 1st letter, C the 3rd, E the 5th, G the 7th and I the 9th. The code 13579 reads exactly the same. So the rule is confirmed.

Step 3: Decode BDFHJ
The letters B, D, F, H, J are the 2nd, 4th, 6th, 8th and 10th letters. Writing the numbers side by side gives 2 4 6 8 10 = 246810.

Step 4: Note on J
J is the 10th letter, so it needs two digits, 10. That is why the answer has six digits and not five, and why 24689 is wrong.

Final Answer:
The code is 246810, option 2. \[ \boxed{246810} \]