List of practice Questions

If $3\,\sin^{-1}\left(\frac{2x}{1+x^2}\right)-4\,\cos^{-1}\left(\frac{1-x^2}{1+x^2}\right)+2\,tan^{-1}\left(\frac{2x}{1-x^2}\right)=\frac{\pi}{3}$, then $x$ is equal to

If $^{30}C_{r+2} = {^{30}C_{r-2}}$, then r equals :

If $2n = 4$, then identify the figures $A, B$ and $C$, as per the following codes and select the correct option.

Anaphase of meiosis 1 = (i) Anaphase of mitosis = (ii) Anaphase meiosis II =(iii)

If $(2x^2 - x - 1)^5 = a_0 + a_1x + a_2x^2 + ... + a_{10}x^{10}$, then, $a_2 + a_4 + a_6 + a_8 + a_{10} =$

If $2x + 3y + 12 = 0$ and $x - y + 4\lambda$ = 0 are conjugate with respect to the parabola $y^2 = 8x,$ then $ \lambda$ is equal to

If $13.6 \,eV$ energy is required to separate a hydrogen atom into a proton and an electron, then the orbital radius of electron in a hydrogen atom is

If 150 kJ of energy is needed for muscular work to walk a distance of one km, then how much of glucose one has to consume to walk a distance of provided only 30% energy is available for muscular work. The enthalpy of combustionof glucose is 3000 $kJ mol^{-1}$'

If $2 \alpha =-1-i \sqrt{3}$ and $2 \beta=-1+i \sqrt {3}$, then $5 \alpha^4+5 \beta^4 +7 \alpha ^{-1} \beta ^{-1}$ is equal to

If $1 + \sin\theta + \sin^2\, \theta + ............. $ $to \infty=4+2\sqrt{3},0

If ${^{10}C_{x}} = {^{10}C_{x + 4}}$, find the value of x.

Identify Z in the sequence. $ {CH3CH2CH \,=\, CH2 ->[HBr/H_2O_2] Y }$$ { ->[C_2H_5ONa] Z}$

If $ (1 + i) (1 + 2i) (1 + 3i) ..... (1 + ni) = x + iy,$ then $2\cdot 5 \cdot 10$ $(1 + n^2) =.......$

If $1, log_{81} \left(3^x + 48\right)$ and $log_{9}\left(3^{x} - \frac{8}{3}\right) $ are in $A. P$., then $x$ is equal to

Identify the type of vascular bundle as shown in the figure and select the incorrect statement regarding it.

Identify the wrong statement about meiosis.

Identify $X$, $Y$ and $Z$ in the given reaction: $ {CH_2=CH2->[Br_2][CCl_4]X->[NaCN][2\,moles]Y->[LiAlH_4]Z}$

Identify the plants (from the list $i - vi$) which possess the given type of guard cells (as shown in the diagram) in their leaves.

(i) Grass (ii) Tomato (iii) Banana (iv) Brinjal (v) Soybean (vi) Lily

Identify the simple tissue from the following.

Identify the type of polymer. $ (i) ? $(ii) ?? ?

Identify the parts labelled as $A, B, C$ and $D$ in the given figure and select the correct option from the given codes.

Identify the parts labelled as $A$, $B$, $C$, $D$ and $E$ in the given diagram of a human sperm and select the correct option.

Identify the parts marked as $A , B$ and $C$ in the given figure showing $ATP$ synthesis through chemiosmosis.

Identify the incorrect statement with respect to ozone

Identify the labelled parts $A-D$ in the given figure of human foetus within the uterus.

Identify the labels $A, B, C$ and $D$ in the given structure of $tRNA$ and select the correct option.