List of practice Questions

The amount of electricity required to produce one mole of copper from copper sulphate solution will be

Dipping iron article into a strongly alkaline solution of sodium phosphate

Alkyl cyanides undergo Stephen reduction to produce

A wittig reaction with an aldehyde gives

Cannizzaro reaction is given by

Reaction of PCl\(_3\) and PhMgBr would give

Cl--P--Cl bond angles in PCl\(_5\) molecule are

Milk changes after digestion into:

Which of the following sets consists only of essential amino acids?

Which of the following is ketohexose ?

If \(\vec{a},\vec{b},\vec{c}\) be three unit vectors such that \(\vec{a}\times(\vec{b}\times\vec{c})=\frac{1}{2}\vec{b}\), \(\vec{b}\) and \(\vec{c}\) being non-parallel. If \(\theta_1\) is the angle between \(\vec{a}\) and \(\vec{b}\) and \(\theta_2\) is the angle between \(\vec{a}\) and \(\vec{c}\), then

If \(x,y,z\) are different from zero and
\[ \Delta= \begin{vmatrix} a & b-y & c-z \\ a-x & b & c-z \\ a-x & b-y & c \end{vmatrix}=0 \] then the value of the expression \(\frac{a}{x}+\frac{b}{y}+\frac{c}{z}\) is

Probability of getting positive integral roots of the equation \(x^2-n=0\) for the integer \(n,\ 1\le n \le 40\) is

The number of real roots of the equation \(x^4+\sqrt{x^4+20}=22\) is

Let \(\alpha,\beta\) be the roots of the equation \(x^2-ax+b=0\) and \(A_n=\alpha^n+\beta^n\). Then \(A_{n+1}-aA_n+bA_{n-1}\) is equal to

If the sides of a right-angle triangle form an A.P., the `Sin' of the acute angles are

The plane through the point \((-1,-1,-1)\) and containing the line of intersection of the planes \(\vec{r}\cdot(\hat{i}+3\hat{j}-\hat{k})=0\) and \(\vec{r}\cdot(\hat{i}+2\hat{k})=0\) is

If \(\vec{a}=\hat{i}-\hat{j}+\hat{k}\) and \(\vec{b}=2\hat{i}+4\hat{j}+3\hat{k}\) are one of the sides and medians respectively, through the same vertex, then area of the triangle is

The system of equations
\[ x+y+z=0 \] \[ 2x+3y+z=0 \] \[ x+2y=0 \] has

If \(\begin{vmatrix} 0 & a^4 \\ b & 0 \end{vmatrix}=1\), then

If \(D=\text{diag}(d_1,d_2,\ldots,d_n)\), where \(d_i\neq 0\), for \(i=1,2,\ldots,n\), then \(D^{-1}\) is equal to

In how many number of ways can 10 students be divided into three teams, one containing four students and the other three?

If \(R\) be a relation defined as \(aRb\) iff \(|a-b|>0\), then the relation is

Let \(S\) be a finite set containing \(n\) elements. Then the total number of commutative binary operation on \(S\) is

A manufacturer of cotter pins knows that 5% of his product is defective. He sells pins in boxes of 100 and guarantees that not more than one pin will be defective in a box. In order to find the probability that a box will fail to meet the guaranteed quality, the probability distribution he should use is