GATE CY branch:cy PYQs & Answers — Page 34

Questions 331–340 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 34 of 65

Statement: Either P marries Q or X marries Y Among the options below, the logical NEGATION of the above statement is:

Your answerChoose one option.

P does not marry Q and X marries Y.

Neither P marries Q nor X marries Y.

X does not marry Y and P marries Q.

P marries Q and X marries Y.

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Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4 cm each.

Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.

Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.

Folding operation 1 is carried out on Sheet M three times.

Folding operation 2 is carried out on Sheet N three times.

The ratio of perimeters of the final folded shape of Sheet N to the final folded shape of Sheet M is _____.

Your answerChoose one option.

13 : 7

3 : 2

7 : 5

5 : 13

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Five line segments of equal lengths, PR, PS, QS, QT and RT are used to form a star as shown in the figure above.

The value of θ, in degrees, is ______.

Your answerChoose one option.

108

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A function, λ, is defined by

The value of the expression

is:

Your answerChoose one option.

−1

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Humans have the ability to construct worlds entirely in their minds, which don’t exist in the physical world. So far as we know, no other species posses this ability. This skill is so important that we have different words to refer to its diferent flavors, such as imagination, invention and innovation.

Based on the above passage, which one of the following is TRUE?

Your answerChoose one option.

No species posses the ability to construct worlds in their minds.

The terms imagination, invention and innovation refer to unrelated skills.

We do not know of any species other than humans who posses the ability to construct mental worlds.

Imagination, invention and innovation are unrelated to the ability to construct mental worlds.

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The rates of alkaline hydrolysis of the compounds shown below are compared. The compounds are labeled I, II, and III. They follow the order:

Your answerChoose one option.

I > II > III

II > I > III

II > III > I

III > I > II

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The major product formed in the following reaction is:

Your answerChoose one option.

Diagram for Chemistry question 2 (figure 2)

Diagram for Chemistry question 2 (figure 3)

Diagram for Chemistry question 2 (figure 4)

Diagram for Chemistry question 2 (figure 5)

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The major product formed in the following reaction [a methoxy- and trimethylsilyl-substituted diene reacts with acrylonitrile; (i) Δ, (ii) aqueous acid] is:

Your answerChoose one option.

Diagram for Chemistry question 3 (figure 2)

Diagram for Chemistry question 3 (figure 3)

Diagram for Chemistry question 3 (figure 4)

Diagram for Chemistry question 3 (figure 5)

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The least acidic among the following compounds [M: methyl propiolate; N: a carboxylic acid; O: methoxy-substituted phenol; P: benzenesulfonic acid] is:

Your answerChoose one option.

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The major product formed in the following reaction [a substituted alcohol-containing bicyclic substrate treated with (i) NOCl, (ii) hν, (iii) HCl] is: