In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1,2 , and 3 , respectively. Which one among the given options is the most appropriate combination of P , Q , and R ?
A rectangle has a length L and a width W . where $\mathrm{L}>\mathrm{W}$. If the width, W , is increased by $10 \%$, which one of the following statements is correct for all values of L and W ?
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?
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