Three variables $x$, $y$ and $z$ take values $2, 3, 4$ or $5$ such that their values are always distinct. If $M$ and $N$ denote the largest possible value and the smallest possible value, respectively, for the expression ${(x \times y) + z}$; then $M - N$ is
Detailed Explanation:
To maximize $(x \times y) + z$, choose the two largest values for the product: $x = 5, y = 4$ gives $5 \times 4 = 20$, and the largest remaining value $z = 3$ gives $M = 20 + 3 = 23$.
To minimize $(x \times y) + z$, choose the two smallest values for the product: $x = 2, y = 3$ gives $2 \times 3 = 6$, and the smallest remaining value $z = 4$ gives $N = 6 + 4 = 10$.
Therefore, $M - N = 23 - 10 = 13$, making Option 3 the correct answer.
Question 2 of 2 Number Types
Practice PYQ questions from this topic across all years
If $x$ and $y$ are integers, then is $x$ even? Statement I : $x^2 y^2$ is even. State...
All questions in this topic completed!