MAT Exam 2020 Paper

Concept:Identify the mathematical rule that connects $9$ and $50$, then choose the option that follows the same rule.Explanation:Observe the given pair: $9 : 50$.Here, $50$ can be written as:$50 = 9 \times 5 + 5$So, the rule is: second number $=$ first number $\times 5 + 5$.Now check each option using this rule.For option A: $20 \times 5 + 5 = 100 + 5 = 105$Thus, $20 : 105$ matches the relationship exactly.Other options do not fit this rule.For option B: $22 \times 5 + 5 = 115 \neq 110$For option C: $18 \times 5 + 5 = 95 \neq 190$For option D: $15 \times 5 + 5 = 80 \neq 225$Therefore, the correct analogous pair is $20 : 105$.Answer:$20 : 105$Option A.