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The correct sequence of the eastward flowing rivers of the peninsular India from north to south is:
A. Subarnarekha, Mahanadi, Godavari, Krishna, Pennar, Cauvery and Vagai
B. Subarnarekha, Mahanadi, Krishna, Godavari, Cauvery, Vagai and Pennar
C. Mahanadi, Subarnarekha, Godavari, Krishna, Cauvery, Pennar and Vagai
D. Mahanadi, Subarnarekha, Krishna, Godavari, Cauvery, Vagai and Pennar

Answer
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Hint: The solution would be the rivers that start from the north region of India or the closest to the Northern Region of India and flow in the east direction.

Complete answer:
The Subarnarekha river flows through the Indian states of Jharkhand, West Bengal, and Odisha.
The Mahanadi River flows through the Indian states of Chhattisgarh, Odisha as well as some portions of Madhya Pradesh and Maharashtra.
The Godavari river has its source at Trimbakeshwar which is in Maharashtra and flows through the Indian states of Maharashtra, Telangana, Andhra Pradesh, Chhattisgarh, and Odisha.
The Krishna river has its source near Mahabaleshwar in the Western Ghats and flows through the Indian states of Maharashtra, Karnataka, Telangana, Andhra Pradesh.
The Pennar river has its source at Nandi Hills which is in Karnataka and flows through the Indian states of Karnataka and Andhra Pradesh.
The Cauvery river has its source at Talakaveri which is in Karnataka and flows through the Indian states of Karnataka and Tamil Nadu.
The Vaigai river has its source at Varusanadu Hills which is Tamil Nadu and flows through the Indian state of Tamil Nadu and drains into the Palk Strait.

So, option (A) is the correct option.

Note: The Mouth of the river would be considered as the starting point of the river. Some rivers would have the starting points nearby or could be a part of the tributary of some other river but the start of that particular tributary would be considered.