What will be the cost of painting the four walls of a room with length, width and height $5$ m, $3$ m and $8$ m respectively? The room has one door and one window.
I. Cost of painting per square meter is Rs. $25$ .
II. Area of window is $2.25$ square meter which is half of the area of the door.
III. Area of the room is $15$ square meter.

l only

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II only

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III only

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II or III only

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Solution

The correct option is C III only
Area of one wall $= l e n g t h \times h e i g h t = 5 \times 8 = 40 s q . m$
Area of another adjacent wall $= w i d t h \times h e i g h t = 3 \times 8 = 24 s q . m$
Area of 4 walls $= 2 \times 40 + 24 \times 2 - 4.5 - 2.25 = 128 - 6.75 = 121.25$
Cost of painting the four walls $= 121.25 \times 25 = 3, 031.25$ Rs.
So, we don't require statement III.

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The correct option is C III onlyArea of one wall =length×height=5×8=40 sq.mArea of another adjacent wall =width×height=3×8=24 sq.mArea of 4 walls =2×40+24×2−4.5−2.25=128−6.75=121.25Cost of painting the four walls =121.25×25=3,031.25 Rs.So, we don't require statement III.