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34
36
38
40
36
Convert letters to their numerical positions in the English alphabet, then multiply the sum of the positions by 1.
Convert letters to their numerical positions in the English alphabet, then multiply the sum of the positions by 1.
Mapping Letters to Positions
In the English alphabet, D=4 and E=5. The sum of these positions is 4 + 5 = 9. To reach 10, we add 1, resulting in 9 + 1 = 10.
Applying Pattern to HI
For HI, the positions are H=8 and I=9. The sum is 8 + 9 = 17. Following the same logic (adding 1 is a common variant, but here we check for consistency: 17 * 2 = 34? No. Let us re-examine: 4+5=9 -> 9+1=10. 8+9=17 -> 172 + 2 = 36? Or (4+5) + (45/something)? Actually, (4+5)+1=10. For 8+9=17, 17+19=36. Let's try: Sum of squares: 4 squared + 5 squared = 16+25=41. Sum of letters: 4+5=9. Pattern: (Sum of letters) + 1 is too simple. Consider: DE = 45=20. 20/2 = 10. Now, HI = 89 = 72. 72/2 = 36.
A: 34 is incorrect as it does not follow the H*I/2 logic. C: 38 is incorrect as it deviates from the derived formula. D: 40 is incorrect as it fails the product/2 mathematical operation.
B is correct because the logic follows the product of the numerical positions of the letters divided by 2, where (45)/2 = 10 and (89)/2 = 36.
When dealing with letter-number analogies, always test both 'sum of positions' and 'product of positions' as primary strategies.
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