linear inequalities is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.
This article gives you a full set of MHT CET PYQs for linear inequalities with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including linear inequalities questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.
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MHT CET PYQs for linear inequalities with Solutions
1.
Solve the system of equations: \[ x + y = 10 \] \[ 3x - y = 5 \]- \( x = 5, y = 5 \)
- \( x = 4, y = 6 \)
- \( x = 3, y = 7 \)
- \( x = 6, y = 4 \)
2.
If \( AX = B \), where \[ A = \begin{bmatrix} 1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1 \end{bmatrix}, \quad X = \begin{bmatrix} x \\ y \\ z \end{bmatrix}, \quad B = \begin{bmatrix} 4 \\ 0 \\ 2 \end{bmatrix}, \] then \( 2x + y - z \) is:- 2
- 1
- 4
- -2
3.
If \[ A = \begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & a & 1 \end{bmatrix} \] and \[ A^{-1} = \frac{1}{2} \begin{bmatrix} 1 & -1 & 1 \\ -8 & 6 & 2c \\ 5 & -3 & 1 \end{bmatrix}, \] then the values of \( a \) and \( c \) are respectively:- \( \frac{1}{2}, \frac{1}{2} \)
- \( -1, 1 \)
- \( 2, -\frac{1}{2} \)
- \( 1, -1 \)
4.
Solve the system of equations: \[ x + y = 5 \] \[ 2x - y = 4 \]- \( x = 3, y = 2 \)
- \( x = 2, y = 3 \)
- \( x = 4, y = 1 \)
- \( x = 1, y = 4 \)
5.
The sum of the ages of a father and his son is 60 years. The father is three times as old as the son. What is the son's age?- 15 years
- 20 years
- 18 years
- 25 years
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