List of top Questions asked in UP JEE Polytechnic

The capacitance of a capacitor is \( 3 \, \mu F \). If \( 108 \, \mu C \) charge is available in it, then what will be the potential difference between the plates?

If \( \left( x + \frac{1}{x} \right) = \sqrt{3} \), then the value of \( \left( x^3 + \frac{1}{x^3} \right) \) will be:

If \( \sqrt{3}x - 2 = 2\sqrt{3} + 4 \), then the value of \( x \) is:

Two resistances combine in series order to provide 50 ohms resultant resistance, and when they combine in parallel order, they provide 8 ohms resultant resistance. Then the value of each resistance is:

Find the value of the complementary angle of \( 75^\circ \):

If \( A = 4x + \frac{1}{x} \), then the value of \( A + \frac{1}{A} \) is:

The median of the following data 25, 34, 31, 23, 22, 26, 35, 29, 20, 32 is:

The value of \( \left( x - \frac{2}{x} \right) \left( x^2 + 2 + \frac{4}{x^2} \right) \) is equal to:

If \( \tan \theta + \sin \theta = m \) and \( \tan \theta - \sin \theta = n \), then the value of \( m^2 - n^2 \) is:

The value of \( x (\log y - \log z) \times y (\log z - \log x) \) is equal to:

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?

Find the equation of the line passing through the two points \( (3, 5) \) and \( (-4, 2) \):

The area of the circle whose circumference is equal to the perimeter of a square of side 11 cm is:

The earth makes a complete rotation about its axis in 24 hours. What angle will it turn in 3 hours 20 minutes?

The HCF of two polynomials \( p(x) = 4x^2 (x^2 - 3x + 2) \) and \( q(x) = 12x(x - 2)(x^2 - 4) \) is \( 4x(x - 2) \). The LCM of these polynomials is:

The length of sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. The area of the triangle is:

The perpendicular distance between two parallel lines \( 3x + 4y - 6 = 0 \) and \( 6x + 8y + 7 = 0 \) is equal to:

The value of \( \frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}} \) 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:

Angles of a triangle are in ratio 1 : 5 : 12, the biggest angle of this triangle is:

If \( \sin x + \sin^2 x = 1 \), then the value of \( \cos^2 x + \cos^4 x \) is:

The solution of the equation \( y^{\frac{2}{3}} - 2y^{\frac{1}{3}} = 15 \) is:

If \( \tan(A + B) = \sqrt{3} \) and \( \cos(A - B) = \frac{\sqrt{3}}{2} \), the values of \( A \) and \( B \) are:

The value of \( \log \frac{14}{15} - \log \frac{3}{25} - \log \frac{7}{9} \) is:

If the side of the cube is 6 cm, then the diagonal of the cube is: