List of top Mathematics Questions asked in UP JEE Polytechnic

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

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

The quadratic equation, whose roots are \( \frac{4 + \sqrt{7}}{2} \) and \( \frac{4 - \sqrt{7}}{2} \), is:

Two straight lines \( 3x - 2y = 5 \) and \( 2x + ky + 7 = 0 \) are perpendicular to each other. The value of \( k \) is:

If points \( (5, 5) \), \( (10, k) \), and \( (-5, 1) \) are collinear, then the value of \( k \) is:

A Verandah of area 90 m\(^2\) is around a room of length 15 m and breadth 12 m. The width of the verandah is:

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

The factor of \( a^4 b^4 - 16c^4 \) is:

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

The vertices of a triangle are \( (4, 6), (2, -2) \), and \( (0, 2) \). Then the coordinates of its centroid must be:

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 value of \( \frac{\sqrt{1 + \sin x}}{1 - \sin x} \) is:

The value of \( \tan 15^\circ \) is:

The value of \( \frac{\cos 20^\circ \cos 70^\circ - \sin 20^\circ}{\sin 70^\circ} \) is:

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

Ravi can do \( \frac{3}{4} \) of a work in 12 days. In how many days Ravi can finish the \( \frac{1}{2} \) work?

The volume of the cylinder is \( 448 \pi \, \text{cm}^3 \) and height 7 cm. Then its lateral surface area is:

\(\tan 3A - \tan 2A \cdot \tan A\) is equal to:

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

The value of \( \sqrt[3]{72.9} \) is:

The volume of a cuboid is \( x^3 - 7x + 6 \), then the longest side of the cuboid is:

If 7 is the mean of 5, 3, 0.5, 4.5, \( a \), 8.5, 9.5, then the value of \( a \) is:

If \( 5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^a \), then the value of \( a \) is:

The perimeter of an equilateral triangle whose area is \( 4\sqrt{3} \, \text{cm}^2 \) is equal to: