Discussion
The opening time of Central Government offices in India is 09:00 a.m. IST. What will be the local time of opening of the Central Government offices located at 78° 30′ East Longitude near Hyderabad and 92° 45′ East Longitude near Aizawl, respectively ?
Answer: B
The local times are 08:44 a.m. and 09:41 a.m. respectively.
IST is the local time of the standard meridian, 82° 30′ E. Local time changes by 4 minutes for each degree of longitude: earlier to the west, later to the east.
\[ \begin{aligned} \text{Hyderabad: } 82^\circ 30' - 78^\circ 30' &= 4^\circ \\ 4 \times 4 &= 16 \text{ min earlier} \\ 9{:}00 - 16 \text{ min} &= 8{:}44 \end{aligned} \]
\[ \begin{aligned} \text{Aizawl: } 92^\circ 45' - 82^\circ 30' &= 10^\circ 15' \\ 10.25 \times 4 &= 41 \text{ min later} \\ 9{:}00 + 41 \text{ min} &= 9{:}41 \end{aligned} \]
Hyderabad lies west of the standard meridian and Aizawl east of it, so the first time must be before 9:00 and the second after. Option 1 gives the two correct times the wrong way round. Option 3 shifts each city in the wrong direction (later for Hyderabad, earlier for Aizawl), and option 4 gives each city the other city's difference.
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