If it is 12.00 Noon in India, on which meridian will it be 7.00 am of

If it is 12.00 Noon in India, on which meridian will it be 7.00 am of the same day ?

7.5 degree E. Longitude
7.5 degree W. Longitude
75 degree E. Longitude
75 degree W. Longitude
This question was previously asked in
UPSC NDA-1 – 2021
The correct answer is 7.5 degree E. Longitude.
India’s standard time (IST) is based on the meridian 82.5 degrees East longitude. The time difference between two locations is directly proportional to the difference in their longitudes, with 1 hour corresponding to 15 degrees of longitude (360 degrees / 24 hours). If it is 12:00 Noon at 82.5 degrees E, and we need to find the longitude where it is 7:00 am on the same day, the time difference is 12:00 – 7:00 = 5 hours. Since the time is earlier, the location must be to the west of India. The longitude difference is 5 hours * 15 degrees/hour = 75 degrees. Starting from 82.5 degrees East and moving 75 degrees West, we get the required longitude: 82.5 degrees E – 75 degrees = 7.5 degrees E.
Moving eastwards adds time (later time), and moving westwards subtracts time (earlier time). The calculation confirms that a location at 7.5 degrees East longitude is 5 hours behind India’s standard time (at 82.5 degrees East).
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