List of top Questions asked in LPUNEST

The value of \(f(x) = x + |x|\) is continuous for:
Read the sentence to find out whether there is any grammatical error in it. The sentence is in three separate parts and each one is labelled (A), (B), (C) and (D). In that case, letter (D) will signify a ‘No error’ response.
Spot the error part of the following sentence.
Find out the error part of the following sentence.
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: