Smith hit an unbeaten 87 off 58 balls with 10 fours and three sixes while Tendulkar scored 58 off 51 balls with six boundaries.
However, both batsmen got some reprieve from sloppy Royals fielding, who dropped Smith twice and Shane Watson could not hold onto Tendulkar's top edged sweep at backward square leg.
The Mumbai Indians finished third in the standings with 20 points and will take on the Chennai Super Kings in the eliminator on Wednesday.
The Delhi Daredevils will meet the Kolkata Knight Riders in Pune on Tuesday and the winner will qualify for the final. The loser will take on the winner of the Mumbai Indians v Chennai Super Kings game in Chennai to qualify for the May 27 final - also at Chennai.
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View Results | Vote Archive
19% Chennai Super Kings
9% Delhi Daredevils
3% Kings XI Punjab
17% Kolkata Knight Riders
13% Mumbai Indians
2% Pune Warriors
5% Rajasthan Royals
25% Bangalore Royal Challengers
8% Sunrisers Hyderabad
Vote Archive
With only three weeks before the winter tests and only six games left in the regular season of Super Rugby the push is on for the top six spots on the log, BayLion says.
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