List of top Questions asked in UP JEE Polytechnic

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:

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

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:

If \( \sin x + \sin^2 x = 1 \), then the value of \( \cos^2 x + \cos^4 x \) 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 points \( (5, 5) \), \( (10, k) \), and \( (-5, 1) \) are collinear, then the value of \( k \) is:

The value of \( \log_5 \left( \frac{1}{125} \right) \) is:

If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is:

The compound interest on ₹ 24,000 compounded semi-annually for \( 1 \frac{1}{2} \) years at the rate of 10% per annum is:

The sum of two numbers is 11 and their product is 30, then the numbers are:

The L.C.M. of \( 12x^2 y^3 z^2 \) and \( 18x^4 y^3 z^3 \) is:

The value of \( \sin \theta + \cos(90^\circ + \theta) + \sin(180^\circ - \theta) + \sin(180^\circ + \theta) \) is: