List of practice Questions

If $sin\alpha +sin \beta = \frac{\sqrt6}2$ and $cos \alpha + cos\beta = \frac{\sqrt2}2$ then $coas(\alpha - \beta)$ is equa; to

The values of x in the interval $[0,\pi]$ such that $sin 2x = \frac{\sqrt3}2$

$tan(2tan^{-1}(\frac{2}5))$ is equal to

$cos^4 \frac{\pi}{12} - sin^4 \frac{\pi}{12}$ is equal to

The value of $sin^2(cos^{-1}(\frac{3}5))$ is equal to

If 0 < θ < $\frac{π}2 $ and tanθ = $\frac{\sqrt5}2$, then cosθ is equal to

The value of $tan^{-1} (\frac{7}4) - tan^{-1} (\frac{3}{11})$ is equal to 

If cosecθ + cotθ = 5, then the value of tanθ is equal to

The value of θ in the range 0 ≤ θ ≤ π/2 which satisfies the equation sin (θ + π/6) = cosθ is equal to

Let X be the set {1, π, {42, √2}, {1,3}}. Which of the following statement(s) is/are true? Ρ : π ∈X , Q :{1,3} ⊆ X , R : {1,7} ⊆ X 

The set of all integer values of x that satisfy the inequality 19 ≤ 3x ≤ 27 is

Among the following, the alkene that exhibits optical isomerism is

In the estimation of nitrogen present in an organic compound, Kjeldahl's method cannot be applied to

Which one of the following is an ore of aluminium?

The complex ion formed when the film developed in black and white photography is washed with hypo solution is

In which one of the following complexes, the conductivity corresponds to 1:2 electrolyte in aqueous solution?

The metal that has the highest melting point in the first series of transition elements is

In the first row transition metals, the element that exhibits only +3 oxidation state is

The magnetic moment of a trivalent ion of a metal with Z = 24 in aqueous solution is

Choose the wrong statement in the following with regard to orthoboric acid:

Choose the correct choice containing true statements regarding $PCI_5$.
(i) PCI, is prepared by the reaction of white phosphorus with excess of dry chlorine. 
(ii) The complete hydrolysis of PCI, gives phosphoric acid.  
(iii) PCI, has square pyramidal structure in gaseous phase. 
(iv) All the five bonds in PCI, molecule are equivalent.

'Syngas' produced from sewage is a gaseous mixture of

When zinc metal is reacted with aqueous sodium hydroxide, the products formed are

Which one of the following is true?

Choose the correct set of reactions which follow first order kinetics:
(i) Thermal decomposition of HI on gold surface.
(ii) Thermal decomposition of $N_2O_5(g)$ at constant volume.
(iii) Hydrogenation of ethene.
(iv) Decomposition of $NH_3$ on a hot Pt surface.
(v) Thermal decomposition of $SO_2Cl_2(g)$ at constant volume.