Directions: Find the odd man out: 835, 734, 642, 751, 853, 981, 532

### Concept & Internal Digit Arithmetic Similar to the previous problem, the logic here is contained within the digits of each individual number. The relationship involves subtraction between the digits. ### Step-by-Step Solution 1. Let's analyze the relationship between the digits of each number. 2. Check the difference between the first and second digits: - $835 \rightarrow 8 - 3 = 5$ (which matches the third digit) - $734 \rightarrow 7 - 3 = 4$ - $642 \rightarrow 6 - 4 = 2$ - $853 \rightarrow 8 - 5 = 3$ - $981 \rightarrow 9 - 8 = 1$ - $532 \rightarrow 5 - 3 = 2$ 3. All these numbers follow the rule: $1\text{st digit} - 2\text{nd digit} = 3\text{rd digit}$. 4. Now check $751$: $7 - 5 = 2$, but the third digit is $1$. 5. Because $751$ violates this internal digit rule, it is the odd man out. ### Exam Strategy & Shortcut Whenever numbers are large and seem disjointed, stop looking at the series as a whole. Focus on the digits. Add them, subtract them, or look for basic equations within the digits themselves. ### Common Pitfall Wasting time trying to find a common divisor or trying to calculate the differences between adjacent large numbers ($835 - 734 = 101$, $734 - 642 = 92$), which yields no usable pattern. ### Final Answer Therefore, the correct answer is **751**.