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In a pack of plates, of the plates are damaged, of the plates are cra
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09 Jul 2024, 00:25
09 Jul 2024, 00:25
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Question Stats:
85% (02:44) correct
14% (01:03) wrong based on 7 sessions
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In a pack of plates, 1/3 of the plates are damaged, 2/3 of the plates are cracked and 1/4 are damaged as well as cracked. If 90 plates were neither damaged nor cracked, then what is the number of total plates in the pack?
A. 180
B. 220
C. 240
D. 280
E. 360
A. 180
B. 220
C. 240
D. 280
E. 360
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Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
Re: In a pack of plates, of the plates are damaged, of the plates are cra
[#permalink]
11 Jul 2024, 10:09
11 Jul 2024, 10:09
1
Solution: E
Total = Group1 + Group2 + Both - Neither
Lets assume total plates = x
Therefore,
Damaged = x/3
cracked = 2x/3
Both damaged & cracked = x/4
Total = Damaged + cracked + Both damaged & cracked - Neither damaged & cracked
x = x/3 + 2x/3 + x/4 - 90
Upon solving we'll get x = 360.
Hence, total plates = 360
(E)
Total = Group1 + Group2 + Both - Neither
Lets assume total plates = x
Therefore,
Damaged = x/3
cracked = 2x/3
Both damaged & cracked = x/4
Total = Damaged + cracked + Both damaged & cracked - Neither damaged & cracked
x = x/3 + 2x/3 + x/4 - 90
Upon solving we'll get x = 360.
Hence, total plates = 360
(E)
gmatclubot
Re: In a pack of plates, of the plates are damaged, of the plates are cra [#permalink]
11 Jul 2024, 10:09
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