GATE XE discipline:engineering-sciences PYQs & Answers — Page 144

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Questions 1431–1440 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 144 of 178

Which of the following functions describe the graph shown in the below figure?

Diagram for Engineering Sciences question 9

Your answerChoose one option.

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Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly.

Which of the following statements can be logically inferred from the above statements?

Your answerChoose one option.

If (i) is true and (ii) is false, then (iii) is false.

If (i) is true and (ii) is false, then (iii) is true.

If (i) and (ii) are true, then (iii) is true.

If (i) and (ii) are false, then (iii) is false.

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The largest interval in which the initial value problem

has a unique solution is

Your answerChoose one option.

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The sum of the roots of the indicial equation at

of the differential equation

Your answerChoose one option.

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Let

be a three times continuously differentiable real valued function on

such that its third derivative

for all

. If

is a polynomial of degree

such that

and

then

equals ____________

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For real numbers

and

, if the formula

is exact for all polynomials of degree

then

equals ______________

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Raju has four fair coins and one fair dice. At first Raju tosses a coin. If the coin shows head then he rolls the dice and the number that dice shows is taken as his score. If the coin shows tail then he tosses three more coins and the total number of tails shown (including the first one) is taken as his score. If Raju tells that his score is 2 then the probability that he rolled the dice is (up to two decimal places) ______________

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Let

be a continuously differentiable real valued function defined by

Then the value of

is ______________

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A rectangular box without top cover having a square base is to be made from a sheet of 108 square meters. Then the largest possible volume of the box in cubic meters is ______________

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Let

. Then the trace of

equals

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GATE XE discipline:engineering-sciences PYQs

Question 9

Question 10

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8