1. **Problem Statement:** Identify the odd one out from the series: a) LBT, b) SPA, c) IJF, d) PID. 2. **Step 1: Analyze the letter positions in the alphabet:** - L = 12, B = 2, T = 20 - S = 19, P = 16, A = 1 - I = 9, J = 10, F = 6 - P = 16, I = 9, D = 4 3. **Step 2: Check patterns in the groups:** - For LBT: 12, 2, 20 Differences: 2 - 12 = -10, 20 - 2 = 18 - For SPA: 19, 16, 1 Differences: 16 - 19 = -3, 1 - 16 = -15 - For IJF: 9, 10, 6 Differences: 10 - 9 = 1, 6 - 10 = -4 - For PID: 16, 9, 4 Differences: 9 - 16 = -7, 4 - 9 = -5 4. **Step 3: Look for common patterns:** - LBT and SPA have larger negative first differences and big second differences. - IJF and PID have relatively smaller absolute differences. 5. **Step 4: Check if the middle letter is always the smallest:** - LBT: middle letter B (2), smaller than L (12) but less than T (20)? No - SPA: middle letter P (16) not the smallest (A=1 is smallest) - IJF: middle J (10) greater than I(9), so not smallest - PID: middle I(9) less than P(16), greater than D(4), so not smallest No consistent pattern there. 6. **Step 5: Check alphabetical ordering of letters in each group:** - LBT: L(12), B(2), T(20): Not in order - SPA: S(19), P(16), A(1): Decreasing - IJF: I(9), J(10), F(6): Not ordered - PID: P(16), I(9), D(4): Decreasing 7. **Step 6: Check if the sum of positions in each group forms a pattern:** - LBT: 12 + 2 + 20 = 34 - SPA: 19 + 16 + 1 = 36 - IJF: 9 + 10 + 6 = 25 - PID: 16 + 9 + 4 = 29 8. **Step 7: Observe that IJF has the lowest sum compared to others that have higher sums (over 29).** 9. **Conclusion:** IJF does not belong to the group because it differs in the total sum pattern and does not follow the decreasing order pattern seen in others. **Final Answer:** c) IJF