GATE CY 2025 Paper 1 — page 3

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

Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then it monotonically decreases. Let

and

(in years) denote the ages of the brothers and

Which one of the following statements is correct about their age on the day when they attain the same weight?

Your answerChoose one option.

Either

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A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square.

The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

Note: The figure shown is representative.

Your answerChoose one option.

3; 4

4; 3

3; 3

3; 2

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If a real variable

satisfies

, then the value of

is:

Your answerChoose one option.

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2025 · Paper 1

Question 7

Question 8

Question 9