List of practice Questions

A 5-ohm resistor is connected to a 10 V battery. Calculate the current flowing through the resistor.
If the volume of the tetrahedron, whose vertices are \( A(1, 2, 3), B(-3, -1, 1), C(2, 1, 3) \) and \( D(-1, 2, x) \), is \( \frac{11}{6} \) cubic units, then the value of \( x \) is:
If the angle between the line \( 2(x + 1) = y = z \) and the plane \( 2x - y + \sqrt{2} z + 4 = 0 \) is \( \frac{\pi}{6} \), then the value of \( \lambda \) is:
The particular solution of the differential equation, \[ x y \frac{dy}{dx} = x^2 + 2y^2 \quad \text{when} \quad y(1) = 0 \quad \text{is:} \]
If y = tan-1 ((2 + 3x) / (3 - 2x)) + tan-1 (4x / (1 + 5x2)), then
dy/dx =
The area enclosed between the parabola \( y^2 = 4x \) and the line \( y = 2x - 4 \) is:
If cos(12/13) + sin(P), then the value of P is:
Water is being poured at the rate of 36 m$^3$/min into a cylindrical vessel whose circular base is of radius 3 meters. Then the water level in the cylinder increases at the rate of:
Which of the following is not a transition metal?
Thermal stability order of Group 1 hydroxides is:
Which of the following is the polymer formed from acrylonitrile?
Which of the following monomers undergo addition polymerization?
Which of the following is a primary alcohol?
At a given temperature, which of the following statements is correct regarding the solubility of a solid in a liquid?
Which of the following d-block elements has the highest melting point?
Which trend is correct regarding ionic radius in the 4f-series (lanthanides)?
The magnetic moment of \( \text{Mn}^{3+} \) is:
For a first-order reaction, the slope of the graph between \(\log[A]\) vs time is equal to:
Which of the following plots gives a straight line for a zero-order reaction?
What is the correct order of thermal stability of the following carbonates?
BaCO\(_3\), MgCO\(_3\), SrCO\(_3\), CaCO\(_3\)
If \( x^y + y^x = a^b \), then \( \frac{dy}{dx} \) at \( x = 1, y = 2 \) is:
Evaluate the integral: ∫ log((2 + x)2 + x) dx
Approximate value of \( \cos 59^\circ \) is:
If \( a(u + x^2) = x \) and \( y - x^3 = a^2 \), then \( \frac{dy}{dx} \) at \( x = 1 \) is:
For all real x, the minimum value of the function f(x) = (1 - x + x^2) / (1 + x + x^2) is: