**Direction:** Read the following information carefully and answer the questions given below. Eight persons A, B, C, D, E, F, G and H are born in four different years viz., 1964, 1977, 1982 and 1991 and also in two different months viz., June and July but not necessary in the same order. All they are wearing eight different watches namely Noise, Omega, Citizen, Casio, Tissot, Timex, Titan and Amazfit. No two persons born in same month of a year. Age of the persons is calculated as on December 2020. Each year two persons were born in two different months. Months are not considered for age calculation. The person who wears Noise born immediately before F. F was born in the month which has 30 days. The sum of the ages of B and the one who wears Omega is equal to perfect square of a number. There are only three persons born between E and the one who wears Casio. D was not born in odd numbered year. More than two persons born between H and one who wears Tissot. As many persons born between A and the one who wears Timex is same as the persons born after the one who wears Citizen. There are two persons born between D and the one who wears Titan. Age of the one who wears Casio is not a prime number but born in one of the months before the one who wears Citizen. There are only two persons born between the one who wears Casio and the one wears Omega. Only one person born between B and the one who wears Titan, who was not born in the year 1964. C and the one who wears Tissot are born in different month. A was born immediately after the F. H does not like Timex. F was not born immediately before or after the one who wear Citizen. If 'H' is born between 'B' and 'C', then what can be the age of 'H'?

### Concept & Logic This conditional question is actually a self-verifying statement. It asks what H's age would be *if* they sit between B and C chronologically. This condition perfectly aligns with the single valid arrangement derived from the master constraints. ### Step-by-Step Solution 1. **Calculate Ages (Base Year 2020):** * 1964 $\rightarrow$ 56 years * 1977 $\rightarrow$ 43 years * 1982 $\rightarrow$ 38 years * 1991 $\rightarrow$ 29 years 2. **Map the Chronological Slots (June is 30 days, July is 31):** * 1: 1964 June, 2: 1964 July * 3: 1977 June, 4: 1977 July * 5: 1982 June, 6: 1982 July * 7: 1991 June, 8: 1991 July 3. **Apply Core Constraints:** * B + Omega = Perfect Square. Possible ages are 56, 43, 38, 29. Only $43 + 38 = 81$ ($9^2$) forms a perfect square. So, B and Omega belong to 1977 and 1982. * F is born in a 30-day month (June). * Block: [Noise, F, A] (Noise immediately before F, A immediately after F). F must be in June of 1977, 1982, or 1991 so Noise can be in July of the preceding year. 4. **Deduce Positions:** * Testing F in 1977 June (Slot 3): Noise is 1964 July (Slot 2), A is 1977 July (Slot 4). * Since 1977 is full (F and A), B must be born in 1982 (Slots 5 or 6). Thus, the person wearing Omega is born in 1977. Since A wears Titan (deduced later), F (Slot 3) wears Omega. * "Casio not prime" & "Two persons between Casio and Omega": Omega is Slot 3, meaning Casio is Slot 6 (1982 July, age 38, not a prime number). B is Slot 6 wearing Casio. * "Three persons between E and Casio": Casio is Slot 6, so E is Slot 2 (wearing Noise). * "D not in odd year" & "Two persons between D and Titan": D must be 1964 June (Slot 1). Titan is Slot 4 (worn by A). * "One person between B and Titan": B(6) and Titan(4). This matches perfectly. * "Casio before Citizen": Citizen must be Slot 7 or 8. * "0 persons between A and Timex" = "0 persons after Citizen": A is Slot 4. If Timex is Slot 5, there are 0 persons between them. This means Citizen must be Slot 8 (so 0 persons are after it). * "H does not like Timex" & ">2 persons between H and Tissot": H must be Slot 7. Tissot is Slot 1. * "C and Tissot in different months": Tissot is June. C must be July (Slot 8). C wears Citizen. * G fills Slot 5. H wears Amazfit. 5. **Final Arrangement:** * 1 (1964 Jun): D, Tissot (Age 56) * 2 (1964 Jul): E, Noise (Age 56) * 3 (1977 Jun): F, Omega (Age 43) * 4 (1977 Jul): A, Titan (Age 43) * 5 (1982 Jun): G, Timex (Age 38) * 6 (1982 Jul): B, Casio (Age 38) * 7 (1991 Jun): H, Amazfit (Age 29) * 8 (1991 Jul): C, Citizen (Age 29) 6. **Answer the Question:** The question poses the condition "If H is born between B and C". Looking at our final arrangement, B is at Slot 6, H is at Slot 7, and C is at Slot 8. Thus, H is indeed sequentially positioned strictly between B and C. H is born in the year 1991, making his calculated age 29 years old. ### Exam Strategy & Shortcut Conditional questions like "If X happens, what is Y?" in fixed-arrangement puzzles usually describe the exact scenario you already solved. Check if the condition matches your master diagram—if it does, just read the corresponding data point directly. ### Common Pitfall Second-guessing your entire grid arrangement because a question introduces an "If" clause, leading you to believe your initial configuration was incomplete or non-unique. ### Final Answer Therefore, the correct answer is **29 years**.