Explanation:

Let's break down the coding pattern based on the given examples:

- SAFETY ? 95

- EXPAND ? 87

Here's how to identify the pattern:

- Let's try summing the place values of letters:

- S(19) + A(1) + F(6) + E(5) + T(20) + Y(25) = 76

- E(5) + X(24) + P(16) + A(1) + N(14) + D(4) = 64

These don't match the codes, so that doesn't fit.

- Try summing and then adding a fixed number:

- SAFETY: 76 + 19 = 95

- EXPAND: 64 + 23 = 87

The added number is the alphabet order of the first letter: S(19), E(5). This doesn't fit.

- Try summing and subtracting something:

- SAFETY: 76 + (Number of letters × 3) = 76 + 18 = 94 (still not matching 95)

- Not working directly.

- Try adding up the position of letters and adding the number of letters:

- 76 + 6 = 82 — doesn't match

- Let's calculate letter positions:

- SAFETY (S=19, A=1, F=6, E=5, T=20, Y=25), total = 76

- The difference to 95 is 19.

- EXPAND (E=5, X=24, P=16, A=1, N=14, D=4), total = 64, difference to 87 is 23.

Now, if we add the reverse order of the sum of letter positions:

- SAFETY: Reverse of 76 ? 67; 76 + 67 = 143. (doesn't match)

- EXPAND: 64 + 46 = 110.

Try the sum of letter positions plus the number formed by the positions of vowels:

- SAFETY: A(1) + E(5) = 6. 76 + 6 = 82.

Try the sum of first and last letter position:

- S(19) + Y(25) = 44. 76 + 44 = 120.

Maybe it's double the first letter's position added to the sum:

- 76 + (2×19) = 76 + 38 = 114.

Try direct addition of something.

Maybe the code is total sum of positions plus the difference between highest and lowest position letter:

- SAFETY: Highest = 25 (Y), Lowest = 1 (A). Difference = 24. 76 + 24 = 100.

Or maybe letter positions plus product minus sum of vowels and consonants:

- SAFETY: Vowels A, E. Consonants S, F, T, Y. (A=1, E=5) sum = 6. (19+6+20+25) = 70. 70 + 6 = 76.

Let's look at the options for GATHER:

- G(7) + A(1) + T(20) + H(8) + E(5) + R(18) = 7+1+20+8+5+18 = 59

Now looking at the options:

- If the pattern is total sum + a fixed number to reach the code.

- 59 + x = ?

Looking at the relationship:

- SAFETY: 95 - 76 = 19

- EXPAND: 87 - 64 = 23

Is this difference matching any logic?

Notice the difference between codes:

- 95 - 87 = 8

- 76 - 64 = 12

No matching ratio.

Try this: Each code = sum of positions + a fixed number (likely the number of letters × 3 + 1)

- SAFETY: 6 × 3 + 1 = 19, 76 + 19 = 95

- EXPAND: 6 × 3 + 5 = 23, 64 + 23 = 87

Pattern: Sum of letters + (number of letters × position of first letter/second letter) -- too complicated.

Given all, the likely method is: sum of positions + difference (as seen, difference increases by 4).

So for GATHER:

- Let's try 59 + 27 = 86 (where 27 is based on the differences so far, 19, 23, next possibly 27 in the sequence +4).

- Thus, the final calculation fits option 2: 86

Options:

- Option 1: 90

- Option 2: 86

- Option 3: 88

- Option 4: 84

Correct Answer:

Option 2: 86