What is the native home of the wild jungle fowl?

  • A
    Japan
  • B
    Bangladesh
  • C
    India
  • D
    Russia

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If the mean and variance of a binomial variate $X$ are $8$ and $4$ respectively, then $P(X < 3)$ equals to

Match the appropriate pairs from List-$I$ and List-$II$ :
List-$I$List-$II$
$1$. Nitrogen molecules$(A)$ Continuous spectrum
$2$. Incandescent solids$(B)$ Absorption spectrum
$3$. Fraunhoffer lines$(C)$ Band spectrum
$4$. Electric arc between iron rods$(D)$ Emission spectrum

For reaction aldehyde in acidic medium reaction of column-$I$ and its derived product in column-$II$ and their product are given in column-$III$. So match accordingly.

$A$ rod of length $20 \, cm$ is made of metal $A$. It expands by $0.075 \, cm$ when its temperature is raised from $0^{\circ}C$ to $100^{\circ}C$. Another rod of a different metal $B$ having the same length expands by $0.045 \, cm$ for the same change in temperature. $A$ third rod of the same length is composed of two parts,one of metal $A$ and the other of metal $B$. This rod expands by $0.060 \, cm$ for the same change in temperature. The portion made of metal $A$ has the length ........ $cm$.

Nitrobenzene on reduction with zinc and $NH_4Cl$ gives

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