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05 May 2019, 07:32
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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:
35%
(medium)
Question Stats:
66% (00:56) correct
34%
(01:29)
wrong
based on 29
sessions
History
Date
Time
Result
Not Attempted Yet
In a right triangle PQR, right angled at vertex P, What is the measure of angle R?
1) QR = 5
2) PQ = 3
Source: www.GMATinsight.com
1) QR = 5
2) PQ = 3
Source: www.GMATinsight.com
Archit3110
Major Poster
05 May 2019, 20:59
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GMATinsight
question has asked measure of angle of R.
for right angled vertex P ∆ , the ratio of the sides ∆ can be either in 3:4:5 triplet format or 30:60:90 ; x;x√3:2x or 45:45:90 ; x:x;2x
#1
given QR= 5
so 2x=5
x=5/2
but we do not know whether its 30:60:90 or 45:45:90 type ∆ ; insufficient
#2
PQ = 3
again angle of the side of ∆ is not know also type of ∆ is also not clear to say conclusively whether itrs phythagorous triplet or a special case right -eld ∆
insufficient
from 1 & 2
QR=5 opposite angle 90
PQ=3 ; opposite angle
we can take two possibilites
if 30:60:90
x=3 ; but we do not get 2x= 5
x√3=3 ; x= √3 ; 2x = 2*√3= 3.46 again not sufficient
given the side are 5;3 ; the other side will be 4 using phythagorous triplet but not sure what will be the angle
GMATinsight ; sir question has asked for angle corresponding to side QP or say angle R ; from the given info we can determine third side but what and how can we find the angle R? will upon finding the length of the third side of ∆ be sufficient to answer the question which has asked for the angle?
05 May 2019, 21:20
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Archit3110
Point to Note: We do NOT need to calculate the angle in DS question if question demands it because we need to only ascertain whether given information is sufficient or not to find the unique value of unknown variable.
The only tricky part of this question is that we don't have to find the value of angle. We only need to state whether given information is Sufficient or NOT to find the angle and since there is a unique triangle that we are getting after combining the two statements therefore we will get the unique values of angles as well hence the information stands SUFFICIENT and answer of teh question becomes Option C
Archit3110
