List of practice Questions

If \(z^4=7-5i\), then \(\text{Im}((\bar{z})^4)\) is equal to
The value of \(\left[ \frac{5i}{(1-i)(2-i)(3-i)} \right]^{50}\)is equal to
The minimum value of |z+1|+|z-2| is equal to
The principal argument of the complex number \(z=\frac{8+4i}{1+3i}\) is equal to
Let f: R→R be defined by f(x) = cos x. Then
Let \(f(x) =   \begin{cases}     x+2       & for\ x\lt\ 1 \\     4x-1  & for\ 1\leq x \leq3 \\ x^2+5 & for\ x\gt3   \end{cases}\). Then
The domain of the function \(f(x) = (x^2-2x-63)^{\frac{3}{2}}\), x ∈ R is
Let A = {1,2,3,4,5} and let B={1,2,3,4}. If the relation R : A → B is given by (a, b) ∈ R if and only if a+b is even, then n(R) is equal to
The primary precursor of photochemical smog that can be metabolised by plants such as Juniparus and Pyrus, is
Which one of the following is a non-narcotic analgesics?
Conveyor belt is manufactured from
Which of the following is added to commercial salt to control hypothyroidism?
Which one of the following is a polysaccharide?
The product formed, when benzene diazonium fluoroborate is heated with aqueous sodium nitrite solution in the presence of copper is
Among methanamine, ethanamine. benzenamine, N-methylaniline and N, N-dimethylaniline, the weakest and the strongest base in aqueous phase, respectively are
Toluene on treatment with chromic oxide in acetic anhydride at 273K to 283K gives
Which one of the following represents valeraldehyde?
Choose the correct order of acidity of the following phenols:
(I) m-nitrophenol (II) p-cresol (III) p-nitrophenol (IV) phenol
Resorcinol is
Which one of the following molecules gives four isomeric monochlorides on photochemical chlorination?
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Calculate the number of o and a bonds in 2-n-propylpent-1-ene.
Which one of the following molecules contains only primary and tertiary carbon atoms?
The elemental analysis of an oranic compond gave C:38.71%, H: 9.67%. What is the empirical formula of the compound?
Match the following:

a)Alkane(i)Phenol
b)Alicyclic compound(ii)Tropolone
c)Benzenoid aromatic compound(iii)Isobutane
d)Non-benzenoid aromatic compound(iv)Furan
e)Heterocyclic compound(v)Cyclohexene


Choose the correct option:
The overall complex dissociation equilibrium constant for [Cr(H2O)6]3- ion is 5×10-12. The overall stability constant of the complex is