List of top Questions asked in MET- 2017

$(p \land q) \lor (\sim p \land \sim q)$ is

If $\tan^{-1}x + \tan^{-1}y + \tan^{-1}z = \pi$, then the value of $x + y + z - xyz$ is

$\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{n(n+1)}$ is equal to

If $4\sin^{-1}x + \cos^{-1}x = \pi$, then $x$ is equal to

$\frac{d}{dx} \left[ \int_0^{x^2} \sin^{-1} \left( \frac{1}{1+t} \right) dt \right]$ is equal to

In the set $Q^+$ of all positive rational numbers, the operation $*$ is defined by the formula $a * b = \frac{ab}{6}$. Then, the inverse of $9$ with respect to $*$ is

If the projection of $\overrightarrow{PQ}$ on OX, OY, OZ are respectively 12, 3 and 4, then the magnitude of $\overrightarrow{PQ}$ is

K\(_2\)Cr\(_2\)O\(_7\) on heating with aqueous caustic soda gives

The first compound of noble gas prepared by Bartlett was

CH\(_2\) = CH\(_2\) + CH\(_2\)N\(_2\) \(\xrightarrow{\Delta}\) Intermediate in the above reaction is

Which of the following will show geometrical isomerism?

In a face centred cubic lattice a unit cell is shared equally by how many unit cells?

The effective atomic number of central Cu (at. no. 29) metal in [Cu(NH\(_3\))\(_4\)] SO\(_4\) is

The rate of S\(_N\)2 reaction is maximum when the solvent is

Glycine can be obtained from formaldehyde by

Which one of the following is not coloured?

The conjugate base of the acid H\(_2\)S is

HCHO \(\xrightarrow{\text{Reduction}}\) A \(\xrightarrow{P + I_2}\) B \(\xrightarrow{KCN}\) C \(\xrightarrow{\text{Hydrolysis}}\) D. 'D' is

The compound which reacts fastest with Lucas reagent at room temperature is

Relative acidity of the following is in the order

Carbylamine test is performed in alcoholic KOH by heating a mixture of

\(C_p / C_v\) for noble gases is

Find the pH value of the mixture containing 50 cc M HCl and 30 cc M NaOH solution, assuming both to be completely ionised.

Oxygen has an oxidation state of +2 in

The molecule (ion) having one unpaired electron is