GATE MA format:mcq PYQs & Answers — Page 8

Questions 71–80 of 366. Imported answers require independent review unless marked reviewed.

The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX are 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is

Your answerChoose one option.

150

200

250

175

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In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.

Yoko Roi stands ___ (i) as an author for standing ___ (ii) as an honorary fellow, after she stood ___ (iii) her writings that stand ___ (iv) the freedom of speech.

Your answerChoose one option.

(i) out (ii) down (iii) in (iv) for

(i) down (ii) out (iii) by (iv) in

(i) down (ii) out (iii) for (iv) in

(i) out (ii) down (iii) by (iv) for

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Seven identical cylindrical chalk-sticks are fit tight in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.

The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is

Your answerChoose one option.

5/2

7/2

9/2

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The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?

Your answerChoose one option.

The risk reduction on increasing the steps/day from 0 to 1000 is less than the risk reduction on increasing the steps/day from 1000 to 2000.

The risk reduction on increasing the steps/day from 0 to 500 is less than the risk reduction on increasing the steps/day from 1500 to 2000.

For any 5000 increment in steps/day the largest risk reduction occurs on going from 0 to 5000.

For any 5000 increment in steps/day the largest risk reduction occurs on going from 1500 to 2000.

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Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B.

If viewed from direction Y, the planar image of the assembly (Figure A) will appear as

Your answerChoose one option.

Diagram for Mathematics question 9 (figure 2)

Diagram for Mathematics question 9 (figure 3)

Diagram for Mathematics question 9 (figure 4)

Diagram for Mathematics question 9 (figure 5)

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Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is

Your answerChoose one option.

120°

60°

90°

180°

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Consider the following condition on a function

for all

such that

. (P)

Which one of the following is correct?

Your answerChoose one option.

There is a non-constant analytic polynomial

satisfying (P)

Every entire function

satisfying (P) is a constant function

Every entire function

satisfying (P) has no zeroes in

There is an entire function

satisfying (P) with infinitely many zeroes in

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Let

be the ellipse

traversed counter-clockwise. The value of the contour integral

is equal to

Your answerChoose one option.

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Let

be a topological space and

. Given a subset

, let

, and

denote the interior, boundary, and closure, respectively, of the set

. Which one of the following is NOT necessarily true?

Your answerChoose one option.

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Consider the following limit

Which one of the following is correct?

Your answerChoose one option.

The limit does not exist

The limit exists and is equal to 0

The limit exists and is equal to 3

The limit exists and is equal to

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GATE MA format:mcq PYQs

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