Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk.
| Column - I | Column-II | ||
| P. | This house is in a mess. | 1. | Alright, I won't bring it up during our conversations. |
| Q. | I am not happy with the marks given to me. | 2. | Well, you can easily look it up. |
| R. | Politics is a subject I avoid talking about. | 3. | No problem, let me clear it up for you. |
| S. | I don't know what this word means. | 4. | Don't worry, I will take it up with your teacher. |
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 $a_1$ and $a_2$ (in years) denote the ages of the brothers and $a_1 < a_2$.
Which one of the following statements is correct about their age on the day when they attain the same weight?
A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius $r \mathrm{~cm}$ 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 $r \mathrm{~cm}$ 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.

If a real variable $x$ satisfies $3^{x^2}=27 \times 9^x$, then the value of $\frac{2^{x^2}}{\left(2^x\right)^2}$ is :
GATE Data Science and Artificial Intelligence Papers
All year-wise previous year question papers