MAT Exam 2023 Paper

Concept:Two independent sums are divided separately, giving only one relation between the two unknown shares, so the value of $B$ cannot be uniquely found.Explanation:Let the first sum be divided among $A, B, C$ in the ratio $3:4:5$.So, $A = 3x$, $B = 4x$, $C = 5x$.Let the second sum be divided equally between $E$ and $F$.So, $E = F = y$.It is given that $F$ got ₹ $1,050$ less than $A$.Therefore, $y = 3x - 1050$.This gives only one equation with two unknowns $x$ and $y$.The total amount of either sum is not given.Hence, the value of $x$ cannot be determined.So, $B = 4x$ cannot be found.Answer:D. Cannot be determined