# Measure Theory MCQs Quiz.1 With Answers

Measure theory multiple choice questions with correct answers for competitive exams. All the measure theory MCQ quizzes are collected from past papers. Also from the Measure theory textbook topics are most repeated in university exams. Solve all these Measure theory MCQs quiz carefully because it’s important for university final term exams.

## Measure Theory MCQs Quiz.1

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Measure Theory MCQs Quiz.1

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1. Smallest σ - algebra on X is?

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2. If A is countable then m* ( A ) =?

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3. Every algebra is an?

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4. A set is said to be countable if it is.

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5. Let { A} be a countable collection of sets of real numbers then?

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6. If E1 and E2 be two measurable sets then?

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7. Sigma algebra is not a?

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8. m( φ )=?

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9. The intersection of any number of σ - algebra is?

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10. Sum and Scalar multiple a > 0 of a measure is?

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11. A ----- is a function that associates an extended real number to each set in some collection of sets.

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12. If A = { 1, 3, 5, 7, ... } and B { 2, 4, 6, ... } then A x B is?

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13. Let β be the intersection of all sigma-algebra of subsets of R containing every open subset of then the member of is called ----- subsets of.

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14. Which of the following is a trivial σ -algebra?

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15. A sequence is called a monotone if it is.