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26 Mar 2020, 10:09
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
20% (01:13) correct
80%
(01:27)
wrong
based on 25
sessions
History
Date
Time
Result
Not Attempted Yet
On the x-y coordinate grid, if points P, Q, and R make a triangle (not shown), what is the area of the triangle?
(1) Point Q lies on the x-axis 6 units from point P.
(2) Point R is 5 units away from the x-axis
(1) Point Q lies on the x-axis 6 units from point P.
(2) Point R is 5 units away from the x-axis
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27 Mar 2020, 11:47
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Statement 1- It gives the length of PQ and location of the Q on X-axis. We have no idea about point R.
Insufficient
Statement 2- It just tells that point R lies on either y=5 or y=-5. We have no idea about point P and Q.
Insufficient
Combining both statements.
Suppose the coordinates of Q are (c,0). Point P will lie on the circle whose radius is 6 and center is Q. Point R lies of y=5 or y=-5.
PQR (in Grey) is a possible triangle, which satisfies both statements
Area of PQR = 1/2 * (b+5) * QS
PQR' (in blue) is another possible triangle, which satisfies both statements
Area of PQR' = 1/2 * (b+5) * QT
We can clearly see that QS> QT. Hence there is no definite answer for the area of the triangle which satisfies both statements.
IMO it's E (Bunuel Isn't the OA wrong)
Insufficient
Statement 2- It just tells that point R lies on either y=5 or y=-5. We have no idea about point P and Q.
Insufficient
Combining both statements.
Suppose the coordinates of Q are (c,0). Point P will lie on the circle whose radius is 6 and center is Q. Point R lies of y=5 or y=-5.
PQR (in Grey) is a possible triangle, which satisfies both statements
Area of PQR = 1/2 * (b+5) * QS
PQR' (in blue) is another possible triangle, which satisfies both statements
Area of PQR' = 1/2 * (b+5) * QT
We can clearly see that QS> QT. Hence there is no definite answer for the area of the triangle which satisfies both statements.
IMO it's E (Bunuel Isn't the OA wrong)
Kritisood
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27 Mar 2020, 12:00
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Kritisood
Asked: On the x-y coordinate grid, if points P, Q, and R make a triangle (not shown), what is the area of the triangle?
(1) Point Q lies on the x-axis 6 units from point P.
Since base Is known but height is not known
NOT SUFFICIENT
(2) Point R is 5 units away from the x-axis
Since base & height both are unknown
NOT SUFFICIENT
(1) + (2)
(1) Point Q lies on the x-axis 6 units from point P.
(2) Point R is 5 units away from the x-axis
Base of triangle = 6
Height of triangle = 5
Area = 0.5 * base * height = 0.5*6*5 = 15
SUFFICIENT
IMO C
