On a temperature scale '$X$', the boiling point of water is $65°\mathrm{X}$ and the freezing point is $-15°\mathrm{X}$. Assuming that the $X$ scale is linear. The equivalent temperature corresponding to $-95°\mathrm{X}$ on the Fahrenheit scale would be

The graph between two temperature scales $P$ and $Q$ is shown in the figure. Between upper fixed point and lower fixed point there are $150$ equal divisions of scale $P$ and $100$ divisions on scale $Q$. The relationship for conversion between the two scales is given by :

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Convert the following as directed. $45 °\mathrm{F} \mathrm{into} °\mathrm{C}$.

Represent the union of two sets by Venn diagram for each of the following.

$X=\{x | x$ is a prime number between $80$ and $100\}$

$Y=\{y | y$ is an odd number between $90$ and $100\}$

On a hilly region, water boils at 95$°$C.The temperature expressed in Fahrenheit is