List of top Questions asked in UP JEE Polytechnic

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

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:

If \( 2^x = 5^{y} = 10^{-z} \), then the value of \( \left( \frac{1}{x} + \frac{1}{y} + \frac{1}{z} \right) \) is:

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

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

Which among the following pairs are not having the same number of total electrons?

A charge of 10 coulomb is brought from infinity to a point \( P \) near a charged body and in this process 200 joules of work is done. Electric potential at point \( P \) 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:

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

On a straight road AB 100 metres long, five heavy stones are placed 4 metres apart beginning at the end A. A worker starting at A has to transport all stones to B by carrying one stone at a time. The minimum total distance he has to travel is

When \(8^2000\) is divided by 7, the remainder equals