The angles of a triangle are in the ratio $3: 5: 10$. Then the ratio of the smallest side to the greatest side is:

The reaction sequence given below is carried out with $16$ moles of $X$. The yield of the major product in each step is given below the product in parentheses. The amount $($in grams$)$ of $S$ produced is $.....$
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Use: Atomic mass $($in amu$): H =1, C =12, O =16, Br =80$

Which of the following is a basic salt?

For all real $x$,the minimum value of the function $f(x)=\frac{1-x+x^2}{1+x+x^2}$ is

The solution of $\cos y + (x \sin y - 1) \frac{dy}{dx} = 0$ is

$A$ screen is placed $50\,cm$ from a single slit,which is illuminated with $6000 \mathring{A}$ light. If the distance between the first and third minima in the diffraction pattern is $3\,mm$,the width of the slit is.....$mm$.