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A 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
Question

A 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


A.

2

B.

9

C.

10

D.

18

Correct option is D

Given :-
The house has 28 windows, and their sizes are 2, 3, 4, or 5 feet.
The number of windows is proportional to their sizes.
The boy can escape through windows of size at least 4 feet.
Solution:-
Let the number of windows of size 2, 3, 4, and 5 feet be in the ratio 2:3:4:5.
Let the constant of proportionality be
Number of 2-foot windows =2x
Number of 3-foot windows =3x
Number of 4-foot windows =4x
Number of 5-foot windows =5x
The total number of windows is 28 
2x+3x+4x+5x=28
14x=28
x=2
By putting value
Number of 2-foot windows =2x=4
Number of 3-foot windows =3x=6
Number of 4-foot windows =4x=8
Number of 5-foot windows =5x=10
The boy can escape through the 4-foot and 5-foot windows, so the total number of windows available for escape is:
   8+10=18
Thus, the correct answer is option (D) 18

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