List of top Questions asked in JEECUP

If \( A = \frac{x+1}{x-1} \) and \( B = \frac{x-1}{x+1} \), then \( A + B \) is:
If \( \sec x = \frac{5}{4} \), then \( \frac{\tan x}{1 + \tan^2 x} \) is equal to:
A particle is moving along a circular track of radius 1 m with a uniform speed. The ratio of the distance covered and the displacement in half revolution is:
The electric field strength at a point in an electric field is 30 N/C. Find the force experienced by a charge of 20 C at that point.
Magnetic flux of a 20-turn coil is reduced to zero from 0.3 weber in one second. Then the induced e.m.f between the terminals of the coil is:
Two unlike parallel forces of 2 N and 16 N act at the ends of a uniform rod of 21 cm length. The point where the resultant of these two forces acts at a distance of .............. from the greater force.
100 gm of water at \( 60^\circ C \) is added to 180 gm of water at \( 95^\circ C \). The resultant temperature of the mixture is:
One proton enters in a magnetic field of \( 2500 \, \text{N/Amp-m} \) intensity with velocity of \( 4 \times 10^5 \, \text{m/sec} \) in parallel of the field. The force exerted on the proton will be:
In an L-C-R circuit, 100 volt alternating voltage is applied between end points. In the circuit, inductive reactance is \( X_L = 20 \, \Omega \), capacitive reactance is \( X_C = 20 \, \Omega \), and resistance is \( R = 5 \, \Omega \). The impedance of the circuit will be:
A ball is released from the top of a tower of height \( h \) meters. It takes \( T \) seconds to reach the ground. What is the position of the ball above the ground in \( T/5 \) seconds?
Two resistances combine in series order to provide 50 ohms resultant resistance, and when they combine in parallel order, they provide 8 ohms resultant resistance. Then the value of each resistance is:
If \( \sqrt{3}x - 2 = 2\sqrt{3} + 4 \), then the value of \( x \) is:
If \( \left( x + \frac{1}{x} \right) = \sqrt{3} \), then the value of \( \left( x^3 + \frac{1}{x^3} \right) \) will be:
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?
The value of \( x (\log y - \log z) \times y (\log z - \log x) \) is equal to:
The value of \( \left( x - \frac{2}{x} \right) \left( x^2 + 2 + \frac{4}{x^2} \right) \) is equal to:
If \( \tan \theta + \sin \theta = m \) and \( \tan \theta - \sin \theta = n \), then the value of \( m^2 - n^2 \) is:
Find the value of the complementary angle of \( 75^\circ \):
The median of the following data 25, 34, 31, 23, 22, 26, 35, 29, 20, 32 is:
If \( A = 4x + \frac{1}{x} \), then the value of \( A + \frac{1}{A} \) is:
The earth makes a complete rotation about its axis in 24 hours. What angle will it turn in 3 hours 20 minutes?
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:
The area of the circle whose circumference is equal to the perimeter of a square of side 11 cm is:
Find the equation of the line passing through the two points \( (3, 5) \) and \( (-4, 2) \):