List of top Questions asked in AMUEEE- 2014

In a monocot leaf stomata are present

In a dihybrid cross between two heterozygotes $AaBb \times AaBb$, if we get $3 : 1$ ratio among the off springs, the reason for this may be

Let $ f(x) $ be differentiable on the interval $ (0, \infty) $ such that $ f(1) = 1 $ and $ lim_{t \rightarrow x} \frac {t^2f(x)-x^2f(t)}{t-x} =1 $ for each $ x>0 $ . Then, $ f(x) $ is

Let $ V_r $ denote the sum of the first $ r $ terms of an arithmetic progression $ (AP) $ whose first term is $ r $ and the common difference is $ (2r - 1) $ . The sum $ V_1 + V_2 + ..... + V_n $ is

Let $ f $ be the function $ [-\pi, \pi] $ given by $ f(0) = 9 \,and\,f(x) \,=\, f(x) = sin (\frac {9x}{2})/sin(\frac {x}{2}) $ for $ x \neq 0 $ . The value of $ \frac{2}{\pi} \int^{\pi}_{-\pi} $ $ f(x) dx $ is

If $ (1+x+x^2)^n = a_o +a_1x +a_2x^2 +.....+a_{2n} x^{2n}, $ then $ a_o+a_3+a_6+.....= $

$ \frac {C_1}{C_o} + 2 \frac {C_2}{C_1} +3\frac {C_3}{C_2} + .... +n \frac {C_n}{C_{n-1}} $ =

Which of the following is a correct solution of $ x\,cosx\,\left(\frac{dy}{dx}\right) + y(x sin x +cos x) = 1 ? $

Heterogeneous nuclear $RNA (hnRNA)$ is converted to $wRNA$ by

Figure shows an object $ AB $ placed in front of two thin coaxial lenses $ 1 $ and $ 2 $ with focal lengths $ 24\, cm $ and $ 9.0 \,cm $ , respectively. The object is $ 6.0\, cm $ from the lens I and the lens separation is $ L = 10\, cm $ . Where does the system of two lenses produce an image of the object $ AB $ ?

Cell cycle includes the sequence

Aspergillus niger is used for commercial and industrial production of

Ultimate product is obtained on heating $B_{2} H_{6}$ with $N H_{3}$ is

A given object takes $n$ times more time to slide down a $45^{\circ}$ rough inclined plane as it takes to slide down a perfectly smooth $45^{\circ}$ incline. The coefficient of kinetic friction between the object and the incline is :

A citizen group called Friends of the Arcata Marsh $(FOAM)$ basically belongs to

A beam of parallel light rays is incident on a solid transparent sphere of refractive index $ \mu $ . If a point image is produced just at the back of the sphere, what is the refractive index of the sphere?

Four conductors carrying $2.0\, A$ of current into or out of the page are shown in the diagram. $A$ path $C$ is indicated for the line integral $\oint B$. $d s$. Find the value of the integral for the path $C$.

In a container, $200 \,g$ of aluminum (specific heat $900\, J / kg K$ ) at $100^{\circ} C$ is mixed with $50\, g$ of water at $20^{\circ} C$, with the mixture thermally isolated. Find the entropy change of the aluminumwater system.

A $70 \,cm$ long sonometer wire is in unison with a tuning fork. If the length of the wire is decreased by $1.0\, cm$, it produces $4$ beats per second with the same tuning fork. The frequency of the tuning fork is

Which of the following processes will be most adversely affected if microorganisms are removed from a forest ecosystem?

Residual, persistent nucellus present in some seeds is known as

Which pair of plants placed in the family- Solanaceae?

$PAE$ stands for

Yeast is used for commercial production of

Microbe used as clot buster during myocardial infraction