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Total = Group1 + Group2 + Group3 - (sum of 2-group overlaps) - 2*(all three)

OR; 180 = 300 - 36 - 2* (exactly 3 overlap)

OR; 2* (exactly 3 overlap) = 264-180 = 84

OR; (exactly 3 overlap) = 42
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S = Single
D = Double
T = Triple

S + 2D + 3T = 300
S + D + T = 180

Subtract.

D + 2T = 120

36 is the double overlap, so...

36 + 2T = 120
2T= 120-36
2T = 84
T = 42

Or C.
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rockzom
T.O. Sets gave me trouble, so I came up with another example to practice. Hope it helps you, too.

Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 36 square meters. What is the area that is covered with three layers of wallpaper?

A. 5 Square Meters
B. 36 Square Meters
C. 42 Square Meters
D. 83.3 Square Meters
E. 120 Square Meters

What is the difficulty level of this question; wish to solve more like this.........
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VeritasPrepKarishma
rockzom
T.O. Sets gave me trouble, so I came up with another example to practice. Hope it helps you, too.

Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 36 square meters. What is the area that is covered with three layers of wallpaper?

A. 5 Square Meters
B. 36 Square Meters
C. 42 Square Meters
D. 83.3 Square Meters
E. 120 Square Meters

300 - 180 = 120 sq m of the wallpaper overlaps (in either two layers or three layers)
If 36 sq m has two layers, 120 - 36 = 84 sq m of the wallpaper overlaps in three layers. 84 sq m makes two extra layers hence the area over which it makes two extra layers is 42 sq m.
Answer (C).

Similar question:
https://gmatclub.com/forum/three-rugs-ha ... 02326.html
This question has 'Rug' instead of 'Wallpaper'

Hi karishma,

I can't comprehend the question. I get the solution, but i feel the question is weakly worded. Is it so? If not please explain the question.
Thanks,
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rever08
VeritasPrepKarishma
rockzom
T.O. Sets gave me trouble, so I came up with another example to practice. Hope it helps you, too.

Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 36 square meters. What is the area that is covered with three layers of wallpaper?

A. 5 Square Meters
B. 36 Square Meters
C. 42 Square Meters
D. 83.3 Square Meters
E. 120 Square Meters

300 - 180 = 120 sq m of the wallpaper overlaps (in either two layers or three layers)
If 36 sq m has two layers, 120 - 36 = 84 sq m of the wallpaper overlaps in three layers. 84 sq m makes two extra layers hence the area over which it makes two extra layers is 42 sq m.
Answer (C).

Similar question:
https://gmatclub.com/forum/three-rugs-ha ... 02326.html
This question has 'Rug' instead of 'Wallpaper'

Hi karishma,

I can't comprehend the question. I get the solution, but i feel the question is weakly worded. Is it so? If not please explain the question.
Thanks,

Yes, the language of this question is suspect.
Check this question: https://gmatclub.com/forum/three-rugs-h ... ml#p794940
It is very similar and the language is fine.
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