List of top Mathematics Questions asked in UP JEE Polytechnic

The factor of \( a^4 b^4 - 16c^4 \) is:
A and B can do a piece of work in 72 days. B and C in 120 days and A and C in 90 days. In what time can A alone do it?
If \( \tan \theta + \sin \theta = m \) and \( \tan \theta - \sin \theta = n \), then the value of \( m^2 - n^2 \) is:
If 15% of \(m = 20%\) of \(n\) then \(m : n\) is
If \( \sec x = \frac{5}{4} \), then \( \frac{\tan x}{1 + \tan^2 x} \) is equal to:
The volume of a cuboid is \( x^3 - 7x + 6 \), then the longest side of the cuboid is:
In the adjoining figure, \(DE \parallel BC\), then value of \(x\) are
adjoiningfigure,DE∥BC, thenvalueofxare
If points \((1, 2), (x, -1), (4, 5)\) are collinear, then the value of \(x\) is
The value of \(\cos 15^\circ - \sin 15^\circ\) is equal to
If \(\cos \theta = \frac{1}{2}\), then the value of \(\tan 20^\circ\) is
\(\sin(-\theta)\) is equal to
Number of parallel tangents of a circle is
The value of \(\frac{a}{(a-b)(a-c)} + \frac{b}{(b-c)(b-a)} + \frac{c}{(c-a)(c-b)}\) is
Sum of two numbers is 21 and their difference is 11, then the greatest number is
If \(\alpha, \beta\) are the roots of the equation \(2x^2 - 3x + 1 = 0\), then the value of \(\alpha^3 + \beta^3\) is
Three solid spheres, whose radii are 3 cm, 4 cm and 5 cm melted into a single sphere, its radius is
If \(\sqrt{2n} = 16\), then the value of \(n\) is
Find the average of first fifty natural numbers
If the line \(PQ\) is parallel to line \(BC\) of \(\triangle ABC\), then
line PQ is parallel to line BC of △ABC
If \(7x : 63 = 1 : 9\), then \(x\) is
If \(\log_m m + \log_{\frac{1}{6}} \frac{1}{3} = 2\), then \(m\) is equal to
The number of 6 cm cubes can be cut from a cuboid measuring 36 m \(\times\) 15 m \(\times\) 8 m is
If \(9 : 15 : : 45 : x\), then the value of \(x\) is
The value of \(\csc^2 67^\circ - \tan^2 23^\circ\) is equal to
If \(x^y = y^x\) then \(\left(\frac{x}{y}\right)^{x/y}\) is