List of top Questions asked in AP ECET BSc Mathematics

In a code language BANK is coded as DCPM. Then which word is coded as ECET?

A is the mother of B and C. D is the husband of C. Then A is related to D as

In a code language BANK is coded as DCPM. Then the code for SCHOOL is

What is the slope of the straight line? I) The straight line passes through the origin and the point \((3,2)\).
II) The straight line passes through \((3,3)\).

What is the value of \(2x+3y\)? I) \(x+y=2\).
II) \(3x-2y=1\).

What is the cost price of the article? I) The selling price of the article is Rs. \(50\).
II) The profit is \(10\%\).

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 \(12\%\).

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 \(125\).

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 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.

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.

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

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