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22 Feb 2023, 02:30
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Difficulty:
65%
(hard)
Question Stats:
42% (01:23) correct
58%
(02:15)
wrong
based on 31
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of triangle ACD?
(1) The area of ΔADB is 20.
(2) The area of ΔBCD is 14.
700-Level Question!!!
Attachment:
T88961.png [ 3.78 KiB | Viewed 1659 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
22 Feb 2023, 03:25
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What is the area of triangle ACD?
area of ΔACD = 0.5*AD*CD (as angle ADC = 90 degree)
(1) The area of ΔADB is 20.
=> 0.5*AD*AB = 20
Clearly, the given information is not sufficient to determine the area of triangle ACD.
(2) The area of ΔBCD is 14.
Since, ΔBCD and ΔACD share common base (CD) and AD is height of both the triangle's (because angle ADC and angle DAB are both 90 degree, so AB is parallel to DC) therefore area of ΔACD is also 14
Sufficient
Answer B
area of ΔACD = 0.5*AD*CD (as angle ADC = 90 degree)
(1) The area of ΔADB is 20.
=> 0.5*AD*AB = 20
Clearly, the given information is not sufficient to determine the area of triangle ACD.
(2) The area of ΔBCD is 14.
Since, ΔBCD and ΔACD share common base (CD) and AD is height of both the triangle's (because angle ADC and angle DAB are both 90 degree, so AB is parallel to DC) therefore area of ΔACD is also 14
Sufficient
Answer B
22 Feb 2023, 03:33
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Bunuel
Answer: Option B
Step-by-Step Video solution by GMATinsight
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