List of top Questions asked in JKCET

The limit $ \lim_{x \to 0} \frac{5^x + 4^x}{4^x - 3^x} $ is equal to
The limit $ \lim_{x \to 0} \left( \frac{\tan x - x}{x} \right) \cdot \left( \sin \frac{1}{x} \right) $ is equal to
The derivative of $ f(x) = |x| $ at $ x = 0 $ is
For the positive integer $ n $, $ C_1^{n} + C_2^{n} + C_3^{n} + ... + C_n^{n} \text{ is equal to} $
The term independent of $ x $ in the expansion of $ \left( x - \frac{3}{x^2} \right)^{18} $
If $a^2 + b^2 + c^2 = 0$ and $$\begin{vmatrix} b^2+c^2 & ab & ac \\ ab & c^2+a^2 & bc \\ ac & bc & a^2+b^2 \end{vmatrix}=ka^2b^2c^2$$ then k is equal to
If $A = \left(\begin{array}{ccc} 2 & 0 & 0 \\ 0 & \cos x & \sin x \\ 0 & -\sin x & \cos x \end{array}\right)$, then $\text{Adj}(A)^{-1}$
"The maximum or the minimum of the objectives function occurs only at the corners points of the feasible region". This theorem is known as fundamental theorem of
The solution of the inequality $ \frac{1}{2x - 5} > 0 $ is
If $ 2 < x < 3 $, then
The value of $ n $, for which $ \frac{a^{n+1} + b^{n+1}}{a^n + b^n} $ is the A.M. between $ a $ and $ b $, is
Let $ R $ be a relation on set $ A $ such that $ R = R^{-1} $, then $ R $ is
Let $ R $ be a relation on $ \mathbb{N} $ defined as $ x R y $ iff $ x + 2y = 8 $, the domain of $ R $ is
The conjugate complex number of $ \frac{2 - i}{1 - 2i^2} $
The value of $ \left( \frac{1 + i\sqrt{3}}{1 - i\sqrt{3}} \right)^6 + \left( \frac{1 - i\sqrt{3}}{1 + i\sqrt{3}} \right)^6 $ is
The maximum value of $ P = 8x + 3y $, subject to the constraints $ x + y \leq 6, x \geq 0, y \geq 0 $, is
If $ n(A) = 4 $ and $ n(B) = 2 $, then the number of surjections from A to B is:
Let $ f : x \to y $ be a given function, then $ f^{-1} $ exists if
Oxidation of aniline with K$_2$Cr$_2$O$_7$/H$_2$SO$_4$ gives
Molisch test is used for the detection of:
Greenhouse gases causing a rise of 3°C rise in the overall global temperature in the past century are CFCs. The CFC used in refrigerators is
This is not a possible adverse effect of global warming
Addition polymerization is also known as
Which of the following is not a natural polymer?
Which of the following is a non-biodegradable polymer?