List of top Questions asked in AMUEEE

Which of the following is not correctly paired?
Find the correct match.
Heterotrophic fungi can live as
One of the following is not the characteristic feature of cyanobacteria.
In the strict sense, animals that rely only on the heat from the environment rather than on metabolism to raise their body temperature are called as
A typical dicotyledonous embryo consists of
A travelling wave is represented by the equation $y=\frac{1}{10} \sin (60 t+2 x)$, where $x$ and $y$ are in meter and $t$ is in second. This represents a wave 1. travelling with a velocity of $30\, ms ^{-1}$ 2. of frequency $\frac{30}{\pi} Hz$ 3. of wavelength $\pi$ meter 4. of amplitude $10\, cm$ 5. moving in the positive $x$-direction Pick out the correct statements from the above.
A square loop of wire, side length $ 10\,cm $ is placed at angle of $ 45^{\circ} $ with a magnetic field that changes uniformly from $ 0.1 \,T $ to zero in $ 0.7\, s $ . The induced current in the loopa (its resistance is $ 1\,\Omega $ ) is
A square card of side length $ 1 \,mm $ is being seen through a magnifying lens of focal length $ 10 \,cm $ . The card is placed at a distance of $ 9 \,cm $ from the lens. The apparent area of the card through the lens is
The highest lattice energy corresponds to
The degree of hardness of water is usually expressed in terms of
$AgCl$ is dissolved in excess of each of $NH _{3}, KCN$ and $Na _{2} S _{2} O _{3}$. The complex ions produced in each case are
Among the following the third ionization energy is highest for
The most stable complex among the following is
If the half cell reactions are given as (i) $Fe ^{2+}(a q)+2 e^{-} \rightarrow Fe (s) ;\,\,E^{\circ}=-0.44\, V$ (ii) $2 H ^{+}(a q)+\frac{1}{2} O _{2}(g)+2 e^{-} \rightarrow H _{2} O (l)$ $E^{\circ}=+1.23\, V$ The $E^{\circ}$ for the reaction $Fe (s)+2 H ^{+}+\frac{1}{2} O _{2}(g) \rightarrow Fe ^{2+}(a q)+ H _{2} O (l)$ is
A solid is formed by two elements $P$ and $Q$. The element $Q$ forms cubic close packing and atoms of $P$ occupy one-third of tetrahedral voids. The formula of the compound is
A pure inductor of $25 \,mH$ is connected to a source of $220\, V$. Given the frequency of the source as $50\, Hz$, the $rms$ current in the circuit is
A pure inductive coil of $ 30\,mH $ is connected to an $ AC $ source of $ 220 \,V $ , $ 50 \,Hz $ . The $ rms $ current in the coil is
The strongest Lewis acid among boron halides is
Let $A = \{ 0,1,2 \}$, $B =\{ 4,2,0 \}$ and $ f,g $ : $ A \rightarrow B $ be the functions defined by $ f(x) = x^2-x $ and $ g(x) = 2|x-\frac{1}{2}|-1 $ Then,
Let $f = \{ (1,1),(2,4),(0,- 2),(-1,- 5) \}$ be a linear function from $ Z $ into $ Z $ . Then, $ f (x) $ is
If $ A $ is a square matrix such that $ A^2 $ = $ A $ , then $ (I-A)^3+A $ is equal to
The ratio in which the line segment joining the points $(4, 8, 10)$ and $(6, 10, - 8)$ is divided by xy-plane is
The value of $\lambda$ for which the lines $\frac{1-x}{3}=\frac{y-2}{2\lambda}=\frac{z-3}{2}$ and $ \frac{x-1}{3\lambda}=\frac{y-1}{1}=\frac{6-z}{7}$
The co-ordinates of a point on the line $\frac{x-1}{2}=\frac{y+1}{-3}=z$ at a distance $4\sqrt{14}$ from the point $(1, - 1, 0)$ are