CUET Mathematics 2025 21 May Shift 2 PYQs

If the system of equations

$x - 3y + 5z = 3$

$x - 2y + 4z = 4$

$2x - 7y + \lambda z = 5$

has infinite number of solutions, then the value of $\lambda$ is:

If det $\begin{pmatrix} \frac{2x}{8} & \frac{5}{x} \end{pmatrix}$ = det $\begin{pmatrix} 6 & -2 \\ 1 & 1 \end{pmatrix}$, then the value of x is

If $\left[\begin{array}{cc}5 x+8 & 7 \\ y+3 & 10 x+12\end{array}\right]=\left[\begin{array}{cc}2 & 3 y+1 \\ 5 & 0\end{array}\right]$, then the value of $5 x+3 y$ is equal to :