List of top Questions asked in AP ECET BSc Mathematics- 2025

What is the rate per metre length of the fencing of the rectangular field? I) The area of the field is \(10,000\) sq. metres.
II) The total cost for fencing the field is Rs. \(1,00,000\).

Is the positive integer \(x\) odd? I) \(x^2\) is even.
II) \(4x\) is even.

The price of which of the mobile phones A and B is reduced more? I) The price of A is reduced by \(10\%\).
II) The price of B is reduced by \(12\%\).

Are \(a,b\) and \(c\) in arithmetic progression? I) \(5a,5b\) and \(5c\) are in arithmetic progression.
II) \(2a,3b\) and \(4c\) are in arithmetic progression.

What is the day of \(31^{st}\) December of any year? I) In that year the first of March was Monday.
II) That year was a leap year.

What is the percentage of profit on the sale of \(50\) books? I) The cost price of each book is rupees \(100\).
II) The sale price of each book is rupees \(125\).

In an inner product space \(V(F)\), for \(a,b\in F\) and \(\alpha,\beta\in V\), then \((a\alpha,b\beta)=\)

For \(\alpha,\beta\in V\), in an inner product space \(V(F)\), the triangle inequality states that

If the eigen vectors of the matrix \(\begin{bmatrix}1& 2\\0& 2\end{bmatrix}\) are written in the form \(\begin{bmatrix}1a\end{bmatrix}\) and \(\begin{bmatrix}1b\end{bmatrix}\), then \(a+b=\)

Let \(V_2(\mathbb{C})\) be the inner product space with respect to the standard inner product. Which of the following vector in \(V_2(\mathbb{C})\) is orthogonal to the vector \((1-i,1+i)\)?

In an inner product vector space if vectors \(\alpha,\beta\) are linearly dependent vectors then

What is the simple interest earned yearly on a deposit in a bank? I) The amount deposited is rupees \(10,000\).
II) The rate of interest is \(8\%\) per annum.

Let \(A\) be a square matrix of order \(3\). If \(\det A=2\), then the value of \(\det(\operatorname{adj} A^3)\) is

If \(\left|\begin{matrix}p& q-b& r-cp-a& q& r-cp-a& q-b& r\end{matrix}\right|=0\), then the value of \(\dfrac{p}{a}+\dfrac{q}{b}+\dfrac{r}{c}=\)

If the determinant of a matrix \(A=\begin{bmatrix}1& 3& 0\\2& 6& 4-1& 0& 2\end{bmatrix}\) is \(-12\), then the determinant of the matrix \(\begin{bmatrix}2& 6& 0\\4& 12& 8-2& 0& 4\end{bmatrix}\) is

Consider the matrix \(A=\begin{bmatrix}2& 3x& y\end{bmatrix}\). If the eigen values of \(A\) are \(4\) and \(8\), then

If \(T_1:R^3\to R^2\) and \(T_2:R^2\to R^2\) are two linear transformations defined by \(T_1(x,y,z)=(3x,4y-z)\) and \(T_2(x,y)=(-x,y)\), then \(T_2T_1\) is

Let \(T:R^2\to R^2\) be a linear transform. If \(T(1,2)=(2,3)\) and \(T(0,1)=(1,4)\), then \(T(5,6)=\)

If the system of equations \(6x-2y=3\) and \(kx-y=2\) has a unique solution, then \(k\) is not equal to

The system of linear equations \(2x+y+z=0,\ y-z=0,\ x+y=0\) has

Which of the following is not an integral domain?

If \(\phi:\mathbb{Z}_7\to \mathbb{Z}_{12}\) is defined such that \(\phi(a)=4a\), then \(\phi\) is

If \(W\) is a subspace of a finite dimensional vector space \(V\), then \(\dim\left(\dfrac{V}{W}\right)=\)

Which of the following set is linearly dependent set in \(R^3(R)\)?

If \(W_1,W_2\) are two subspaces of a vector space \(V(F)\), then \(L(W_1\cup W_2)=\)