List of top Questions asked in JEECUP

Two supplementary angles measure \(5x + 15^\circ\) and \(4x - 6^\circ\), angle are
If \(a + b + c = 11\) and \(ab + bc + ca = 20\), then the value of \(a^3 + b^3 + c^3 - 3abc\) is
The value of \(\tan \left(\frac{\pi}{4} + \theta \right) \cdot \tan \left(\frac{3\pi}{4} + \theta \right)\) is
What must be added in \(\frac{9}{x^2} + 4y^2\) to make it a whole square?
L.C.M. of \(x^3 - 9x\) and \(x^2 - 2x - 3\) is
Distance between two points \((a \cos \alpha, a \sin \alpha)\) and \((a \cos \beta, a \sin \beta)\) is equal to
If \(\overline{x}\) is the mean of \(n\) observations \(x_1, x_2, x_3, \ldots, x_n\), then \(\sum_{i=1}^{n}(x_i - \overline{x})\) is equal to
If \(a : b = 3 : 4\) and \(b : c = 8 : 9\), then \(a : c\) is
By selling a car for ₹72,000, a person made a profit of 20%. Then the cost price of the car is
If \(\cos A = \frac{1}{7}\) and \(\cos B = \frac{13}{14}\), then \(\cos (A - B)\) is
\(\sqrt{3}\) is
Find the value of \(\frac{\sqrt{3} \cos 23^\circ - \sin 23^\circ}{2}\)
Distance between two lines \(3x + 4y - 9 = 0\) and \(3x + 4y + 10 = 0\) is
If tan \(A = \frac{1}{\sqrt{3}}\) and tan \(B = \sqrt{3}\) then \(\cos A - \cos B - \sin A \cdot \sin B\) will be equal to
The total amount for a sum of ₹400 for 3 years at simple interest at 5% per annum will be
The median of the following distribution is:
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If 15% of \(m = 20%\) of \(n\) then \(m : n\) is
Value of 1 Radian is:
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: