List of top Mathematics Questions asked in UP JEE Polytechnic

The volume of the cylinder is \( 448 \pi \, \text{cm}^3 \) and height 7 cm. Then its lateral surface area is:
L.C.M. of \(x^3 - 9x\) and \(x^2 - 2x - 3\) is
Angles of a triangle are in ratio 1 : 5 : 12, the biggest angle of this triangle is:
If the side of the cube is 6 cm, then the diagonal of the cube is:
The quadratic equation, whose roots are \( \frac{4 + \sqrt{7}}{2} \) and \( \frac{4 - \sqrt{7}}{2} \), is:
A train passes a telegraph post in 40 seconds moving at a rate of 36 km/h. Then the length of the train is:
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
\(\sin(-\theta)\) is equal to
Number of parallel tangents of a circle is
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
The value of \(\frac{a}{(a-b)(a-c)} + \frac{b}{(b-c)(b-a)} + \frac{c}{(c-a)(c-b)}\) is
If \(\cos \theta = \frac{1}{2}\), then the value of \(\tan 20^\circ\) is
If the line \(PQ\) is parallel to line \(BC\) of \(\triangle ABC\), then
line PQ is parallel to line BC of △ABC
Sum of two numbers is 21 and their difference is 11, then the greatest number is
If \(7x : 63 = 1 : 9\), then \(x\) 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
Find the average of first fifty natural numbers