Nayar and Lad scored 103 and 100 respectively to power Mumbai to 568 for seven declared in reply to Madhya Pradesh's first-innings total of 445 ball out at the Shaheed Veer Narayan Singh International Stadium.
Nayar struck nine boundaries and a six while facing 184 balls. While Lad found the fence eight times during his 171-ball knock.
Overnight 290/5, Mumbai lost Akhil Herwadkar (156) for the addition of 20 runs at the score of 347/6, while Tushar Deshpande fell for an individual score of 62.
Ishwar Pandey (3/122) and Ankit Sharma (3/138) were the most successful bowlers for Madhya Pradesh.
Points: Mumbai 3 points, Madhya Pradesh 1 point.
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