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The rupee is trading at 62.01 near Monday's 62.02/03 close.
Sentiment is cautious ahead of RBI policy review announcement at 11.00 am.
RBI is expected to keep interest rates on hold.
Nifty is down 0.15% as Asian stocks fell on oil bounce back.
Brent was back above $72 after falling below $68; US crude just under $69.
Most Asian FX is trading stronger to dollar as other commodity-linked currencies gained.
