Explanation:

Let’s break it down:

- ‘MIXTURE’ = 117, ‘FLOWER’ = 85. We need to find the logic.

- Try adding up the letter values (A=1, B=2, ... Z=26):

MIXTURE:

M(13) + I(9) + X(24) + T(20) + U(21) + R(18) + E(5) = 13+9+24+20+21+18+5 = 110

That’s not 117, but wait—what about multiplying the number of letters? MIXTURE has 7 letters. 110 + 7 = 117.

FLOWER:

F(6) + L(12) + O(15) + W(23) + E(5) + R(18) = 6+12+15+23+5+18= 79

Add letters (6), 79+6 = 85.

- The code is sum of letter values + number of letters.

Now apply to ‘MERGER’:

- M(13)+E(5)+R(18)+G(7)+E(5)+R(18) = 13+5+18+7+5+18 = 66

- Number of letters in MERGER = 6.

- So 66+6 = 72

So the code for ‘MERGER’ is 72.

Option 4: 72 is correct.

The other options:

- 55: Way too low (sum of values without adding letters).

- 66: That’s just sum of letter values.

- 86: Too high, doesn’t fit the code.

You nailed it. The logic is sum of letter values plus the number of letters.