CAT Exam Numerical Ability Averages

Rajiv is a student in a business school. After every test he calculates his cumulative average. QT and OB were his last two tests.83 marks in QT increased his average by 2. 75 marks in OB further increased his average by 1. Reasoning is the next test, if he gets 51 in Reasoning, his average will be ___?

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CAT Other Question

Please Tell me the concept to find numbers of solution in such type of problems
i.e. 2a+3b+7c= 326, find the no. of Natural solution, non zero Integer solution, unequal solution and unordered solution. Tea worth Rs 126 kg and Rs 135 kg are mixed with third variety in the ratio of 1:1:2.if mixture worth Rs. 153/kg. the price of third variety per/kg?