MAT Exam 2021 Paper

Concept:Use the given age relation to form an equation and solve for Shyam’s present age.Explanation:Let Shyam’s present age be $x$ years.If 6 years are subtracted from Shyam’s age, we get $(x - 6)$.This remainder, when divided by 18, gives Anup’s age:Anup’s age $= \frac{x - 6}{18}$ years.Mahesh’s age is 5 years, and Anup is 2 years younger than Mahesh.So, Anup’s age $= 5 - 2 = 3$ years.Now equate the two expressions for Anup’s age:$\frac{x - 6}{18} = 3$Multiply both sides by 18:$x - 6 = 54$$x = 60$Thus, Shyam’s present age is 60 years.Answer:Shyam’s age is 60 years, which is option B.