GATE IN 2018 Paper 1 — page 4

Questions 10–12 of 65. Imported answers require review unless explicitly marked reviewed.

In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

Diagram for Instrumentation Engineering question 10

Your answerChoose one option.

There is a strong correlation between crow birth and cracker sales.

Cracker usage increases crow birth rate.

If cracker sale declines, crow birth will decline.

Increased birth rate of crows will cause an increase in the sale of crackers.

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Let

be a 3 by 3 matrix with real number entries. The matrix

is such that

. The eigen values of N are

Your answerChoose one option.

0, 0, 0

0, 0, 1

0, 1, 1

1, 1, 1

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Let

and

be two complex variable functions. Here

is the complex conjugate of z. Choose the correct answer.

Your answerChoose one option.

Both

and

are analytic

Only

is analytic

Only

is analytic

Both

and

are not analytic

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2018 · Paper 1

Question 10

Question 1

Question 2