GATE MA 2025 Paper 1 — page 3

Questions 7–9 of 65. Imported answers require review unless explicitly marked reviewed.

In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?

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A fair six-faced dice, with the faces labelled ‘1’, ‘2’, ‘3’, ‘4’, ‘5’, and ‘6’, is rolled thrice. What is the probability of rolling ‘6’ exactly once?

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A square paper, shown in figure (I), is folded along the dotted lines as shown in the figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded?

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Figures (I)–(IV):

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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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2025 · Paper 1

Question 7

Question 8

Question 9