Explanation:

Here’s the thing: to crack this, we need to figure out the rule behind the numbers.

- Let’s look at 'BAG' = 71.

- B = 2, A = 1, G = 7 (alphabet positions).

- Add those: 2 + 1 + 7 = 10.

- But 10 isn’t 71.

- Try letters’ values multiplied: 2 × 1 × 7 = 14.

- Still doesn’t match.

- Reverse order? Not matching either.

- Let's switch to 'VICE' = 69.

- V=22, I=9, C=3, E=5.

- 22+9+3+5 = 39.

- 22×9×3×5 = 2970.

- That’s not 69.

- What if they counted letters backwards?

- For 'BAG': B=2, A=1, G=7 (normal).

- Reverse code: Maybe positions of letters in reverse alphabet?

- Let's check.

- B is 25th from Z, A is 26th, G is 20th.

- 25+26+20=71. That’s it.

That's the trick: sum of the reverse alphabetical positions.

Now, 'LIKE':

- L: From A, L=12. From Z: 26-12+1=15.

- I: 9th; from Z: 18.

- K: 11th; from Z: 16.

- E: 5th; from Z: 22.

- 15 + 18 + 16 + 22 = 71.

Let’s break down options:

- Option 1: 71. This one works for 'LIKE'.

- Option 2: 76. Doesn’t match.

- Option 3: 68. Not right.

- Option 4: 65. Not right either.

So, the right answer is Option 1, 71.

Option: 1 – 71