Question
Download Solution PDFA boy can escape through a window of size at least 4 feet. The 28 windows of a house are of sizes 2, 3, 4 or 5 feet and their numbers are proportional to their sizes. The number of windows available for the boy to escape through is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The 28 windows of a house are of sizes 2, 3, 4 or 5 feet and their numbers are proportional to their sizes
So number of windows of size 2 is 2k
number of windows of size 3 is 3k
number of windows of size 4 is 4k
number of windows of size 5 is 5k
So by given condition
2k + 3k + 4k + 5k = 28 ⇒ 14k = 28 ⇒ k = 2
Therefore we get
number of windows of size 2 is 4
number of windows of size 3 is 6
number of windows of size 4 is 8
number of windows of size 5 is 10
Now, the boy can escape through a window of size at least 4 feet.
Hence number of windows available for the boy to escape through = 8 + 10 = 18
Option (4) is correct
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