List of practice Questions

Consider the following four statements (i), (ii), (iii) and (iv) and select the right option for two correct statements. Statements : (i) In vexillary aestivation, the large posterior petal is called-standard, two lateral ones are wings and two small anterior petals are termed keel (ii) The floral formula for liliaceae is $\bigoplus ⚥ P_{3 + 3} \, A_{3+3} + \underline{G}_3$ (iii) In pea flower the stamens are monadelphous (iv) The floral formula for solanaceae is $\bigoplus ⚥ K_{(3)} C_{(3)} A_{(4)} + \underline{G}_2$ The correct statements are

Carrot is a

Cleavage polyembryony occurs in

In Pinus, male cone bears a large number of

Podocytes are the cells, present in

Apomictic embryos in Citrus arise from

The correct floral formula of soyabean is

The vector equation of the straight line $ 6x-8=2y-7=3z $ is

The unit normal vector to the plane $ 3x+2y-2z=8\sqrt{17} $ is

if the straight lines $ 2x+5ay-1=0 $ and $ 3x+7y+7=0 $ are mutually perpendicular, then value of $a$ is

If $A$ is a square matrix of order $3$ and if $ \det \,(A)=3, $ then $ \det \,[adj\,\,\{adj\,(adj\,A)\}] $ is equal to

If $A$ and $B$ are square matrices of order $3$ such that $ det\text{ }A=1 $ and $ det\text{ }B=-1 $ then $ det\text{ (-10}\,\text{AB)} $ is equal to

If $ {{\tan }^{-1}}\,(1-x),\,\,{{\tan }^{-1}}\,(x) $ and $ {{\tan }^{-1}}\,(1+x) $ are in $A.P.$, then the value of $ {{x}^{3}}+{{x}^{2}} $ is equal to

$ \int_{0}^{\pi /2}{\frac{{{\sin }^{100}}x}{{{\sin }^{100}}x+{{\cos }^{100}}x}\,\,dx} $ is equal to

Four arithmetic means between $-10$ and $25$ are inserted. Then the $5^{th}$ term in the series is

If $A$ and $B$ are square matrices of order 3 such that $det A = 1$ and $ det B = -1$, then $det (- 10 AB) = ? $

If $\begin{vmatrix} a_1 &b_1 &c_1 \\[0.3em] a_2 &b_2 &c_2 \\[0.3em] a_ 3&b_3 &c_3 \end{vmatrix}=\,\,\,\,3,\, $ then $ \begin{vmatrix} 3a_1 &9b_1 &3c_1 \\[0.3em] a_2 &3b_2 &c_2 \\[0.3em] 3a_ 3&9b_3 &3c_3 \end{vmatrix}=$,

The dual of the statement $ (\sim p)\wedge [(\sim q)\wedge (p\vee q)\wedge ( \sim r)] $ is

$ \int{{{x}^{2}}\,{{7}^{x}}\,\,dx} $ is equal to

The radius of the sphere $ |\,3\,\vec{r}+2\hat{i}-\hat{j}-4\hat{k}|=3 $ is

$ \underset{n\to \infty }{\mathop{\lim }}\,\,\,\frac{{{2}^{n+1}}+{{3}^{n+1}}}{{{2}^{n}}+{{3}^{n}}} $ is equal to

The numerical value of charge on either plate of capacitor C shown in figure

A beam of cathode rays is subjected to crossed electric $(E)$ and magnetic fields $(B)$. The fields are adjusted such that the beam is not deflected. The specific charge of the cathode rays is given by (Where $V$ is the potential difference between cathode and anode)

The unit of specific conductivity is

In which one of the following organisms its excretory organs are correctly stated?