In the following indicator diagram,the net amount of work done will be

  • A
    Positive
  • B
    Negative
  • C
    Zero
  • D
    Infinity

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Which of the following $statement(s)$ is/are not correct?
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$(iii)$ Many organisms like mules,sterile worker bees do not reproduce.
$(iv)$ Reproduction is not an all-inclusive defining characteristic of living organisms.

In how many ways can $3$ letters be posted in $4$ letter-boxes,if all the letters are not posted in the same letter-box?

Match the common name given in column $I$ with their taxonomic category family given in column $II$ and choose the correct combination from the options given below.
Column-$I$ (Common Name) Column-$II$ (Taxonomic category- Family)
$A$. Man $I$. Poaceae
$B$. Datura $II$. Anacardiaceae
$C$. Mango $III$. Solanaceae
$D$. Wheat $IV$. Hominidae

If $A = \begin{bmatrix} -8 & 5 \\ 2 & 4 \end{bmatrix}$ satisfies the equation $x^2 + 4x - p = 0$,then $p$ is equal to

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