Explanation:

This is a coding-decoding problem where letters are assigned numerical values based on a specific rule. \nFirst, let's decipher the rule from the given information: 1. **Q = 10** The letter Q is the $17^{\text{th}}$ letter in the standard English alphabet (A=1, B=2, ..., Q=17). If we consider the reverse alphabetical order (Z=1, Y=2, ..., A=26), the position of Q would be $26 - 17 + 1 = 10$. This matches the given value for Q. So, the coding scheme is: **Assign each letter its reverse alphabetical position.** 2. **CLAP = 76** Let's verify this rule for the word CLAP: C: $3^{\text{rd}}$ letter. Reverse position = $26 - 3 + 1 = 24$. L: $12^{\text{th}}$ letter. Reverse position = $26 - 12 + 1 = 15$. A: $1^{\text{st}}$ letter. Reverse position = $26 - 1 + 1 = 26$. P: $16^{\text{th}}$ letter. Reverse position = $26 - 16 + 1 = 11$. Sum for CLAP = $24 + 15 + 26 + 11 = 76$. This also matches the given value, confirming our rule. \nNow, we apply the same coding scheme to find the value of TIGER: - T: $20^{\text{th}}$ letter. Reverse position = $26 - 20 + 1 = 7$. - I: $9^{\text{th}}$ letter. Reverse position = $26 - 9 + 1 = 18$. - G: $7^{\text{th}}$ letter. Reverse position = $26 - 7 + 1 = 20$. - E: $5^{\text{th}}$ letter. Reverse position = $26 - 5 + 1 = 22$. - R: $18^{\text{th}}$ letter. Reverse position = $26 - 18 + 1 = 9$. \nSum for TIGER = $7 + 18 + 20 + 22 + 9 = 76$. \nLet's evaluate the options:\nOption (1) $76$: This matches our calculated value for TIGER.\nOption (2) $75$: Incorrect, as the sum is $76$.\nOption (3) $74$: Incorrect, as the sum is $76$.\nOption (4) $73$: Incorrect, as the sum is $76$. \nTherefore, the value of TIGER is $76$. The correct option is (1) 76.