GATE MA 2017 Paper 1 — page 7

Questions 19–21 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 7 of 22

Let

and

be topological spaces and let

be a continuous surjective function. Which one of the following statements is TRUE?

Your answerChoose one option.

is separable, then

is separable

is first countable, then

is first countable

is Hausdorff, then

is Hausdorff

is regular, then

is regular

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Consider the topology

. Then, the topological space

Your answerChoose one option.

compact but NOT connected

connected but NOT compact

both compact and connected

neither compact nor connected

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Let

be the distribution function of a random variable

. Consider the functions:

Which of the above functions are distribution functions?

Your answerChoose one option.

Neither

nor

Only

Both

and

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2017 · Paper 1