The rupee also failed to get much of a lift from shares, which hit their latest record highs earlier in the session but ended flat as investors booked profits.
Traders are looking ahead at the consumer prices data due on Wednesday, amid rising expectation the Reserve Bank of India could opt for earlier-than-expected cuts in interest rates should inflation continue to ease.
"Markets will watch out for the CPI data for immediate direction. Outlook for rupee broadly remains positive but global dollar strength will have some effects on the rupee," said Hari Chandramgethen, head of foreign exchange trading at South Indian Bank, predicting a range of 61.30 to 62.30
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