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Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance travelled by him is:

(A) 55 miles
(B) 60 miles
(C) 65 miles
(D) 70 miles

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Rakesh invested ₹10000 in two different schemes NSC and PPF at an, annual compound interest rate of 14% and 11% respectively. If the total interest for 2 years is 2726, then what was the amount invested in NSC?

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80x - 85y=70
20x + 15y= 90

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