List of top Questions asked in LPUNEST- 2025

To sleep with the fishes
The philosophy of putting another’s welfare above one’s own _______.
What conic does \(13x^2 - 18xy + 37y^2 + 2x + 14y - 2 = 0\) represent?
If \(\lambda(3\mathbf{i} + 2\mathbf{j} - 2\mathbf{k})\) is a unit vector, then the value(s) of \(\lambda\) are:
If \((1,-2,-2)\) and \((0,2,1)\) are direction ratios of two lines, then the direction cosines of a line perpendicular to both the lines are:
The mean of \(n\) items is \(\bar{x}\). If each item is successively increased by \(3, 3^2, 3^3, \ldots, 3^n\), then the new mean will be:
There are two children in a family. The probability that both of them are boys is:
Let \(V\) be a vector space over a field \(F\) and \(a \in F\) and \(u \in V\). Which of the following statements is \textbf{not correct?}
\(\tan^{-1}(1) - \sec^{-1}2)\) is equal to:(
If the radius of a circle increases at a uniform rate of \(2\ \text{cm/s}\), then the rate of increase of area of the circle, at the approximate instant when the radius is \(20\ \text{cm}\), is:
The value of \(\displaystyle \int \frac{1}{(x-5)^2}\,dx\) is:
The order and degree of the differential equation \[ \left[1+\left(\frac{dy}{dx}\right)^2\right]^{\frac{3}{2}} = k\left(\frac{d^2y}{dx^2}\right) \] are respectively:
If the points \((1,1)\), \((-1,-1)\) are the vertices of a triangle, then this triangle is:
Find the centre and radius of the circle \(2x^2 + 2y^2 = 3x - 5y + 7\).
The total number of terms in the expansion of \((x + a)^{100} + (x - a)^{100}\) after simplification will be:
If \((x-2)\) is a common factor of the expressions \(x^2 + ax + b\) and \(x^2 + cx + d\), then \(\dfrac{b-d}{\,c-a\,}\) is equal to:
If \(-3x + 17<-13\), then
The determinant of an orthogonal matrix is:
If \(\cos x = \tan y,\ \cot y = \tan z\) and \(\cot z = \tan x\), then \(\sin x\) is equal to:
The elements of the set \(\{x : x \text{ is an integer},\; x^2 \le 4\}\) can be represented as \(\ldots Z \ldots\). Here, \(Z\) refers to:
If \(P = \{1, 2\}\), then \(P \times P \times P = \{(1,1,1), (1,1,2), (1,2,1), (2,1,2), (2,2,1), (2,2,2)\}\). The ordered triplet missing in \(P \times P \times P\) are:
\(a + ib>c + id\) can be explained only when:
If the sum of a certain \(n\) number of terms of the A.P. \(25, 22, 19, \ldots\) is \(116\), then the last term is:
In how many ways can the number \(7056\) be resolved into two factors?
How many 5-digit telephone numbers can be constructed using the digits 0 to 9, if each number starts with 67 and no digit appears more than once?