What is the primary purpose of data entry in the context of mathematical research?

  • A
    To perform complex algebraic derivations.
  • B
    To convert raw information into a structured digital format for analysis.
  • C
    To prove mathematical theorems using logical reasoning.
  • D
    To visualize geometric shapes in three dimensions.

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Consider the following reaction,
$C_2H_5Cl + AgCN \xrightarrow{EtOH / H_2O} \underline{X} \text{ (major)}$
Which one of the following statements is true for $\underline{X}$?
$(I)$ It gives propionic acid on hydrolysis
$(II)$ It has an ester functional group
$(III)$ It has a nitrogen linked to ethyl carbon
$(IV)$ It has a cyanide group

The correct order of increasing ionic character is:

$A$ coil of wire of radius $r$ has $600$ turns and a self-inductance of $108 \ mH$. The self-inductance of a coil with the same radius and $500$ turns is (in $mH$)

$A$ convex lens of focal length $0.15 \ m$ is made of a material of refractive index $\frac{3}{2}$. When it is placed in a liquid,its focal length increases by $0.225 \ m$. The refractive index of the liquid is

Which of the following is a basic salt?

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