Question

Abdul records the heights of five hills he climbed at 55 feet, 42 feet, 38 feet, 50 feet and 48 feet. If $1\text{ }foot=12\text{ }inches$, what is the measurement, in inches, of the tallest hill Abdul will have on his map?
A. 660
B. 600
C. 576
D. 456

Answer 1

We have to find the height of the hills in inches so we first convert the height from feet to inches using the given relation i.e. 1 foot= 12 inches and then we shall simply compare the heights.

Complete step by step answer:
$1\text{ }foot=12\text{ }inches$ ………………………………(i)
Abdul recorded heights of five hills as follows:
Height of first hill recorded by Abdul = 55 feet
Using (i)
Height of first hill measured in inches is $55\times 12=660\text{ }inches$
Similarly,
Height of second hill measured in inches is $42\times 12=504\text{ }inches$
Height of third hill measured in inches is $38\times 12=456\text{ }inches$
Height of fourth hill measured in inches is $50\times 12=600\text{ }inches$
Height of fifth hill measured in inches is $48\times 12\text{ }=576\text{ }inches$
Now as we have all the information in inches, we compare all these heights. We have
$660 > 600 > 576 > 504 > 456$
It is clear from these five heights that the height of the first hill is greatest of all which is 660 inches.
Now we have 660 as our option A.

So, the correct answer is “Option A”.

Additional Information: Some important conversions are
1 centimeter (cm) = ${{10}^{-2}}m$
1 millimeter (mm) = ${{10}^{-3}}m$
1 micron ($\mu m$) = ${{10}^{-6}}m$
1 nanometers (nm) = ${{10}^{-9}}$ $m$
1 angstrom ($\mathring{A}$) = ${{10}^{-10}}m$
1 inch (in.) = 2.54 cm
1 foot (ft.) = 30.48 cm
1 liter ($l$) = 1000$c{{m}^{3}}$

Note: As mentioned in the question we have to find the answer in inches so do not forget to convert foot into inches.
These are the basic measurement conversions so it is possible that these are not provided in questions. So, you are advised to memorize some of the most basic measurement conversions.