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The rupee is trading at 61.0425/0500 versus Monday's close of 61.13/14.
The pair pares losses made on Monday, when the Indian unit saw its biggest daily fall in 1-1/2 months.
Asian currencies are trading mostly stronger versus the dollar.
Traders will watch the outcome of the Fed meeting later in the day.
Foreign banks bought debt worth $458.1 million on Monday, highest purchases since Aug 21.
