Information Technology Engineering Sem 4 Engineering Mathematics IV Question Paper PDF 2026 - Mumbai University | munotes
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2019 - Applied Mathematics IV inftCBSGS
Semester-end · December 2019
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Questions asked in this paper
- Please check whether you have got the right question paper
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Q2 Attempt any three out of remaining five question
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Q3 Rights indicate full marks
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Q1 a. Find greatest common divisor of the following pairs of integer, using Euclidean algorithm. Find x and Findr 5 marks
- c. Prove that A={1, 2, 3, 4, 5, 6} isa finite abelian group under multiplication modulo 7 05
- d. A random variable x has the following probability function 05
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Q2 a. Calculate coefficient of correlation between x and y 6 marks
- b. A random sample of size 16 from a normal population. Showed a mean of 103.75 cm and 06 sum of squares of deviation from the mean 843.75 we say that the population has mean of 108.75.cm?
- c. Prove that G= {1, is a group under usual multiplication of complex numbers. 08
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Q3 a. Draw Hasse diagram for <) , check whether it is a lattice 6 marks
- b. Out of 1000 families of 3 children each how many would you expect to have 2 boys and 1 06
- c. Find last digit of base 7 expansion of 3! i.e. 3' (mod 7) by using Fermat’s theorem 08
- ii. Find the Legendre’s symbol (=)
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Q4 a. graph with 8 vertices have 40 edges excluding self-loop 6 marks
- b. Find remainder when and are divisible by 7 06
- c. Investigate the association between darkness of eye colour in father and son from the 06
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Q5 a. Let L={1, 2, 3, 4, 12} and the relation be “is divisible by” write compliments of L 6 marks
- b. If x is a Poisson variate and p (x=0) = 6 p (x=3) Find P (x=2) 06
- c. Define the following terms giving illustration 08
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Q6 a. Solve x=1 6 marks
- b. Acertain injection administered to 12 patients resulted in following changes of blood pressure 06 (5, 2, 8, -1, 3, 6, -2, 1, 5, 0, 4) can it be concluded that injection will be in general accompanied by an increase in blood pressure?
- c. i. Write the following permutation as product of disjoint cycles 08
- ii. — simplifies sum of product
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Information Technology Engineering Sem 4 Paper Path
Use this paper as one timed INFT mock, then compare Operating System, Automata Theory, Engineering Mathematics IV, and Computer Organization papers from nearby Mumbai University year sets.
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Step: Compare the year set and nearby INFT subjects for repeated paper patterns.
Step: Use notes only for topics where marks were missed during practice.
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