GATE MA topic:spatial-aptitude PYQs & Answers — Page 2

Questions 11–15 of 15. Imported answers require independent review unless marked reviewed.

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.

Consider the following statements:

• The line segment joining R and S is longer than the line segment joining P and Q. • The line segment joining R and S is perpendicular to the line segment joining P and Q. • The line segment joining R and U is parallel to the line segment joining T and Q.

Based on the above statements, which one of the following options is CORRECT?

Your answerChoose one option.

The line segment joining R and T is parallel to the line segment joining Q and S

The line segment joining T and Q is parallel to the line joining P and U

The line segment joining R and P is perpendicular to the line segment joining U and Q

The line segment joining Q and S is perpendicular to the line segment joining R and P

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An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases.

Which one of the following is a part of a possible trajectory of the ant during the movement?

Your answerChoose one option.

Diagram for Mathematics question 10 (figure 2)

Diagram for Mathematics question 10 (figure 3)

Diagram for Mathematics question 10 (figure 4)

Diagram for Mathematics question 10 (figure 5)

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A polygon is convex if, for every pair of points P and Q belonging to the polygon, the line segment PQ lies completely inside or on the polygon. Which one of the following is NOT a convex polygon?

Your answerChoose one option.

Diagram for Mathematics question 2 (figure 2)

Diagram for Mathematics question 2 (figure 3)

Diagram for Mathematics question 2 (figure 4)

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A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like ______.

Your answerChoose one option.

Diagram for Mathematics question 4 (figure 2)

Diagram for Mathematics question 4 (figure 3)

Diagram for Mathematics question 4 (figure 4)

Diagram for Mathematics question 4 (figure 5)

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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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GATE MA topic:spatial-aptitude PYQs

Question 9

Question 10

Question 2

Question 4

Question 59