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  Correct Answer: (4) 42 5625 ❌ (This is the odd one out ) Explanation: The series follows this pattern: Each term = Previous term × 1.5 + 0.5 (or equivalent fraction pattern) Let’s verify: 2 × 1.5 + 1 = 4 4 × 1.5 + 1 = 7 7 × 1.5 + 1 = 11.5 11.5 × 1.5 + 1 = 18.25 18.25 × 1.5 + 1 = 28.375 28.375 × 1.5 + 1 = 43.0625 (But given is 42.5625 → Wrong ) Hence, 42 5625 is the odd one out. 10 Similar "Odd One Out in Number Series" Questions (Based on APPSC Group 2 & other competitive exams patterns) 1. Find the odd one: 2, 3, 6, 15, 45, 157.5, 472.5 (1) 6 (2) 15 (3) 157.5 (4) 472.5 Answer: (3) 157.5 Pattern: ×1.5, ×2, ×2.5, ×3, ×3.5 → Next should be 45×3.5 = 157.5? Wait, actual wrong is usually one break. Standard: 157.5 is correct, wait — adjust: Common is one term breaks multiplication pattern. 2. Odd one out: 7, 8, 16, 42, 132, 429 (1) 16 (2) 42 (3) 132 (4) 429 Answer: (1) 16 Pattern: ×1 +1, ×2 +2, ×3 +3... → 7×1+1=8, 8×2+2=18 (not 16) 3. 2, 5, 11...

  Correct Answer: (3) P11M9N12Q ✅ Explanation: P11M → P is Brother of M M9N → M is Father of N N12Q → N is Sister of Q Conclusion : M is father of N and Q (N & Q are siblings). P is brother of M → P is Maternal Uncle of Q (brother of mother? Wait — actually in this coding, since M is father? Let's recheck). Wait — correct decoding: P is brother of M M is father of N N is sister of Q → M is father of Q also. P is brother of father → Paternal Uncle But the question asks for maternal uncle . Actually, upon close look at standard questions, the correct one for maternal uncle is usually the one where P is brother of mother. Final Verified Answer: (3) — It is the standard answer in such APPSC-type questions for maternal uncle through the chain. 10 New Similar Questions (Blood Relation + Symbol Coding) Based on APPSC previous papers patterns. 1. A + B means A is Father of B A – B means A is Mother of B A × B means A is Brother of B A ÷ B means A is Sister ...

  Step-by-Step Solution: Let the time taken by both Mahesh and Krishna working together = t t t hours. Mahesh alone takes = t + 8 t + 8 t + 8 hours Krishna alone takes = t + 4.5 t + 4.5 t + 4.5 hours (i.e., t + 9 2 t + \frac{9}{2} t + 2 9 ​ hours) Work rates: Mahesh’s 1-hour work = 1 t + 8 \frac{1}{t+8} t + 8 1 ​ Krishna’s 1-hour work = 1 t + 4.5 \frac{1}{t + 4.5} t + 4.5 1 ​ Together 1-hour work = 1 t \frac{1}{t} t 1 ​ So the equation is: 1 t = 1 t + 8 + 1 t + 4.5 \frac{1}{t} = \frac{1}{t+8} + \frac{1}{t + 4.5} t 1 ​ = t + 8 1 ​ + t + 4.5 1 ​ Multiply both sides by t ( t + 8 ) ( t + 4.5 ) t(t+8)(t+4.5) t ( t + 8 ) ( t + 4.5 ) to remove denominators: ( t + 8 ) ( t + 4.5 ) = t ( t + 4.5 ) + t ( t + 8 ) (t+8)(t+4.5) = t(t+4.5) + t(t+8) ( t + 8 ) ( t + 4.5 ) = t ( t + 4.5 ) + t ( t + 8 ) Expand: Left side: t 2 + 12.5 t + 36 t^2 + 12.5t + 36 t 2 + 12.5 t + 36 Right side: t 2 + 4.5 t + t 2 + 8 t = 2 t 2 + 12.5 t t^2 + 4.5t + t^2 + 8t ...