GATE MA year:2017 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

Let

be a random sample from a binomial distribution with parameters

and

, and let

. Then a uniformly minimum variance unbiased estimator for

Your answerChoose one option.

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Let

be a random sample from a

population. For testing

against

, the most powerful test rejects

, where

is to be chosen such that the level of significance is 0.1. Then the power of this test equals ________.

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Let

be a random sample from a

population, where

, and let

. Then the maximum likelihood estimator of

Your answerChoose one option.

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Consider the following transportation problem. The entries inside the cells denote per unit cost of transportation from the origins to the destinations.

Origin	Destination 1	Destination 2	Destination 3	Supply
1	4	3	6	20
2	7	10	5	30
3	8	9	7	50
Demand	10	30	60

The optimal cost of transportation equals ________.

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Consider the linear programming problem (LP):

is an optimal solution of the above LPP with

, then the largest value of

(rounded to 2 decimal places) for which

remains optimal equals ________.

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The ninth and the tenth of this month are Monday and Tuesday ________.

Your answerChoose one option.

figuratively

retrospectively

respectively

rightfully

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It is ________ to read this year’s textbook ________ the last year’s.

Your answerChoose one option.

easier, than

most easy, than

easier, from

easiest, from

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A rule states that in order to drink beer, one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old, R is drinking milkshake and S is drinking a beer. What must be checked to ensure that the rule is being followed?

Your answerChoose one option.

Only P’s drink

Only P’s drink and S’s age

Only S’s age

Only P’s drink, Q’s drink and S’s age

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Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is she from point P, and in which direction should she go to reach point P?

Your answerChoose one option.

8 km, East

12 km, North

6 km, East

10 km, North

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500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329), Physics (186), Mathematics (295), Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?

Your answerChoose one option.

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GATE MA year:2017 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60