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How to prepare admission test (A short guide) MATHEMATICAL GLOBE does not represent any official or government/semi-government/private educational institute or board or university. The resources given on the site holds no official position in government/semi-government/private educational institute or board or university. While using a resources given on this site you agreed to the term that we (Mathematical globe or person related to Mathematicalglobe) do not take any responsibility for these resources. The suggestions given below are extracted from the previous papers and next paper may totally independent of these suggestions. Review all the topics which you have learnt in MSc or BS in the following subjects: Real Analysis Linear Algebra Abstract Algebra Multi Variable Calculus Complex Analysis (Optional) Read the definitions carefully and do the elementary exercises related to the definitions. Don't learn new topics, just review the course which you have learn in your previous

Real Analysis: Short Questions and MCQs We are going to add short questions and MCQs for Real Analysis. The subject is similar to calculus but little bit more abstract. This is a compulsory subject in MSc and BS Mathematics in most of the universities of Pakistan. The page will be updated periodically. Short questions What is the difference between rational and irrational numbers? Is there a rational number exists between any two rational numbers. Is there a real number exists between any two real numbers. Is the set of rational numbers is countable? Is the set of real numbers is countable? Give an example of sequence, which is bounded but not convergent. Is every bounded sequence is convergent? Is product of two convergent sequences is convergent? Whis is not true about number zero. (A) Even (B) Positive (C) Additive identity (D) Additive inverse of zero Which one of them is not interval. (A)  ( 1 , 2 ) ( 1 , 2 ) (B)  ( 1 2 , 1 3 ) ( 1 2 , 1 3 ) (C)  [ 3. π ] [ 3. π ] (D)  ( 2 π , 180