List of top Questions asked in UP JEE Polytechnic

If sin θ + cos θ = √2, what is the value of sin θ · cos θ?
A bag contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are red?
A light wave of wavelength 600 nm passes through a double-slit apparatus with a slit separation of 0.2 mm. What is the angular separation (in degrees) of the first-order bright fringe?
A gas undergoes an isothermal process at 300 K, and its volume increases from 2 L to 4 L. If the initial pressure is 2 atm, what is the work done by the gas? (R = 8.314 J/mol·K, assume 1 mole)
What is the IUPAC name of the compound CH₃-CH₂-CO-CH₃?
For the reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g), the equilibrium constant Kc is 0.5 at 400 K. If [N₂] = 0.1 M, [H₂] = 0.2 M, and [NH₃] = 0.05 M, what is the reaction quotient Qc?
The roots of the quadratic equation x² - 5x + k = 0 are real and distinct. What is the range of values for k?
A point P divides the line segment joining A(2, 3) and B(8, 9) in the ratio 1:2. What are the coordinates of P?
A block of mass 5 kg is placed on a frictionless surface and pushed with a force of 20 N at an angle of 30° to the horizontal. What is the acceleration of the block?
Which of the following molecules has a trigonal planar molecular geometry?
Which physical quantity is constant for a satellite in orbit?

In figure \( \angle BAP = 80^\circ \) and \( \angle ABC = 30^\circ \), then \( \angle AQC \) will be:

Two supplementary angles measure \(5x + 15^\circ\) and \(4x - 6^\circ\), angle are
Which of the following is an insulator?
If \(\sqrt{2n} = 16\), then the value of \(n\) is
If A means +,
B means -,
C means ×,
D means ÷,
then what will be found after solving series?
0, 1, 3, 6, 10, 15, 21, 28, 37, 45
The perimeter of an equilateral triangle whose area is \( 4\sqrt{3} \, \text{cm}^2 \) is equal to:
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 value of \( \frac{\sqrt{1 + \sin x}}{1 - \sin x} \) is:

Use the following figure to find \( x^\circ \) and \( y^\circ \):

An organic compound contains carbon = 38.71%, Hydrogen = 9.67% and Oxygen. The empirical formula of the compound would be:
If \(2x + y = 35\) and \(3x + 4y = 65\), then the value of \(\frac{x}{y}\) is
The value of \( \sqrt[3]{72.9} \) is:
Cracking is a process used for change in: