List of top Questions asked in AP ECET BSc Mathematics- 2026

What is the missing number in the following sequence? 8, 15, 28, 53, __

What is the missing number in the following sequence? 2, 10, 26, 50, __, 122.

What is the number of educated youth in the village? I) In the village 1/4th of the youth are educated II) In the village 1/5th of the youth are employed

How old each of the father and son? I) Four years ago the father was six times older than his son II) After sixteen years, the father will be twice as old as his son

What is the percentage of profit on the sale of 100 pens? I) The cost price of each pen is rupees 80 II) The sale price of each pen is rupees 100

In a class of 120 students, how many girls got distinction? I) 20 boys in the class got distinction II) 25% of the students in the class got distinction

How old is the Son? I) Mother was 22 years when the son was born II) Son retired in his 58th year and by then the mother was no more.

Will it be a Wednesday tomorrow? I) Coming Wednesday is holiday II) It is not Tuesday today

Let V be an inner product space and $S = \{\alpha_{1}, \alpha_{2}, \dots, \alpha_{m}\}$ be a finite subset of V. If S is an orthonormal set, then consider the following statements:
I: $||\alpha_{i}|| = 1$ for each $\alpha_{i} \in S$
II: $(\alpha_{i}, \alpha_{j}) = 0$ for $\alpha_{i}, \alpha_{j} \in S, i \neq j$.
Which of the following is correct?

What is the area of the triangle formed joining the points A, B and C? I) $A=(2,5), B=(3,2)$ II) A, B and C lie on a straight line

Is the positive integer x odd? I) $x^2$ is even II) 4x is even

What is the sum of the real numbers a, b, c? I) $a+c=4$ II) a, b, c are in arithmetic progression

What is the volume of the cone? I) The height of the cone is 10 cm. II) The area of its base is 126 sq.cm.

If $\alpha, \beta$ are vectors in an inner product space V, then

The matrix $\left[\begin{matrix}1& 4\\ 3& 2\end{matrix}\right]$ is

The necessary condition to diagonalize a matrix is that

Which of the following matrices is NOT diagonalizable?

If $\alpha = (-1,0,1), \beta = (2,0,-2) \in V_{3}(R)$ an inner product space, then $||\alpha + \beta|| = $

For the vectors $u = (a,b), v = (c,d)$ in $C^{2}$ the inner product of $u$ and $v$ is defined by $\langle u,v \rangle = a\bar{c} + b\bar{d}$. If $u = (1+i, i), v = (i, 1-i)$ then $\langle u,v \rangle = $

For what values of a and b the following simultaneous equations have an infinite number of solutions? $x + y + z = 5, x + 3y + 3z = 9$, and $x + 2y + \alpha z = \beta$.

Solution for the system of equations $4y + 3z = 8, 2x - z = 2$ and $3x + 2y = 5$ is

The equation $\left|\begin{matrix}2& 1& 1\\ 1& 1&-1\\ y& x^{2}& x\end{matrix}\right|=0$ represents a parabola passing through the points}

If A and B are square matrices of size $n \times n$, then which of the following statement is not true.

The determinant of a skew-symmetric matrix of odd order is

The characteristic equation associated with the matrix $\left[\begin{matrix}0& 0& 3\\ 1& 0& 2\\ 0& 1& 1\end{matrix}\right]$ is