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The given question asks which pair is not correctly matched. Let`s examine each option to determine if it is correctly matched or not.
Option 1: Gomati - Lucknow
Gomati is a river in Uttar Pradesh, India, and Lucknow is the capital city of Uttar Pradesh. This pair is correctly matched.
Option 2: Saryu - Ayodhya
Saryu is a river in Uttar Pradesh, India, and Ayodhya is a city in Uttar Pradesh known for its religious significance. This pair is correctly matched.
Option 3: Alaknanda - Badrinath
Alaknanda is a river in Uttarakhand, India, and Badrinath is a town in Uttarakhand known for its Hindu pilgrimage site. This pair is correctly matched.
Option 4: Narmada - Satna
Narmada is a river in central India, while Satna is a city in Madhya Pradesh, India. These are not geographically connected, so this pair is not correctly matched.
Therefore, the correct answer is option 4.