List of top Mathematics Questions asked in LPUNEST

The total number of terms in the expansion of \((x + a)^{100} + (x - a)^{100}\) after simplification will be:
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:
In how many ways can the number \(7056\) be resolved into two factors?
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:
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?
\(a + ib>c + id\) 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:
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:

The number of integral values of \(\lambda\) for which \(x^2 + y^2\) +\(\lambda\) x + (1 - \(\lambda\))y + 5 = 0 is the equation of a circle whose radius does not exceed 5 is

If \[ \tan\beta = 2\sin\alpha \sin\gamma \cdot \csc(\alpha+\gamma), \] then \(\cot\alpha,\; \cot\beta,\; \cot\gamma\) are in:
If \[ \cos^{-1}\alpha+\cos^{-1}\beta+\cos^{-1}\gamma = 3\pi, \] then the value of \(\alpha\beta+\beta\gamma+\gamma\alpha\) is:
If n integers taken at random are multiplied together, the probability that the last digit of the product is 1, 3, 7 or 9 is
The plane x - 2y + 3z = 17 divides the line joining the points (-2, 4, 7) and (3, -5, 8) in the ratio
If the mean deviation of the numbers 1, 1+d, 1+2d, … , 1+100d from their mean is 255, then the common difference d is
A straight line through the origin \(O\) meets the parallel lines \(4x+2y=9\) and \(2x+y+6=0\) at points \(P\) and \(Q\) respectively. The point \(O\) divides the segment \(PQ\) in the ratio:
A line cuts the \(x\)-axis at \(A(7,0)\) and the \(y\)-axis at \(B(0,-5)\). A variable line \(PQ\) is drawn perpendicular to \(AB\) cutting the \(x\)-axis and \(y\)-axis at \(P\) and \(Q\) respectively. If \(AQ\) and \(BP\) intersect at \(R\), then the locus of \(R\) is:
The ratio of the distances from the points (1,–1,3) and (3,3,3) to plane \(5x+2y-7z+9=0\) is
The number of values of c such that the straight line \(y=4x+c\) touches the curve \(\frac{x^2}{4}+y^2=1\) is
If \(g(x)=\cos x^2\), \(f(x)=\sqrt{x}\) and \(\alpha,\beta\;(\alpha<\beta)\) are the roots of \(18x^2-9\pi x+\pi^2=0\), then the area bounded by the curve \(y=(g\circ f)(x)\) and the lines \(x=\alpha,\;x=\beta\) and \(y=0\) is:
If \(y=f(x)\) passing through \((1,2)\) satisfies the differential equation \[ y(1+xy)\,dx - x\,dy = 0, \] then \(f(x)=\)
Consider \(p(x)\) a polynomial of degree 5 having extremum at \(x=-1,1\). Given \[ \lim_{x\to0}\left(\frac{p(x)}{x}-2\right)=4, \] the value of \(p[1]\) (greatest integer function) is}
If \[ y=(1-x)(1+x^2)(1+x^4)\cdots(1+x^{2^n}), \] then \(\dfrac{dy}{dx}\) at \(x=0\) is equal to
The integral \[ \int\!\frac{\sin^2x\cos^2x}{(\sin^5x+\cos^3x\sin^2x+\sin^3x\cos^2x+x^5+x\cos^5x)}dx \] is of the form}