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25 Aug 2020, 21:58
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In triangle ABC (figure shown) drawn on a coordinate plane, A, B and C are the vertices of the triangle and a∘∘and b∘∘ denote the angles shown. Is the length of AB greater than that of AC?
(1) a – b = 30
(2) b = 70
Are You Up For the Challenge: 700 Level Questions
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
Attachment:
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yashikaaggarwal
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25 Aug 2020, 23:27
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To find : Z > B -----------(1)
A = Y+X (exterior angle) -----------(2)
Y = Z+B (exterior angle) -----------(3)
A = Z+B+X
A-B = Z+X -----------(4)
1) A-B = 30
Z+X = 30
Also,
X = 90-B (BOD is a right angle triangle)
Z+90-B = 30
B-Z = 60
B = Z+60
B>Z (Sufficient)
2) B = 70
A-70 = Z+X
A-70 = Z+20 (X = 90-70 = 20)
A = Z+90
We can't determine value of Z further to check whether Z>B .
(Insufficient)
Answer is A
Posted from my mobile device
A = Y+X (exterior angle) -----------(2)
Y = Z+B (exterior angle) -----------(3)
A = Z+B+X
A-B = Z+X -----------(4)
1) A-B = 30
Z+X = 30
Also,
X = 90-B (BOD is a right angle triangle)
Z+90-B = 30
B-Z = 60
B = Z+60
B>Z (Sufficient)
2) B = 70
A-70 = Z+X
A-70 = Z+20 (X = 90-70 = 20)
A = Z+90
We can't determine value of Z further to check whether Z>B .
(Insufficient)
Answer is A
Posted from my mobile device
Attachments
IMG_20200826_114019.jpg [ 3.38 MiB | Viewed 3006 times ]
26 Aug 2020, 00:52
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In a triangle,length of side is proportional to angle opposite to that side.
Is AB > AC
For sufficiency answer to above should be Yes or No.
From fig.
Angle b & c correspond to side AC & AB respectively.
Also, c= a-90
Statement I:
a-b = 30
a=30+b
Then c=30+b-90= b-60
Hence b>c, which means AC > AB
So, answer to above question is NO.
Sufficient
Statement II:
b=70
Cannot determine value of c from this alone.
Not sufficient
Option A.
Posted from my mobile device
Is AB > AC
For sufficiency answer to above should be Yes or No.
From fig.
Angle b & c correspond to side AC & AB respectively.
Also, c= a-90
Statement I:
a-b = 30
a=30+b
Then c=30+b-90= b-60
Hence b>c, which means AC > AB
So, answer to above question is NO.
Sufficient
Statement II:
b=70
Cannot determine value of c from this alone.
Not sufficient
Option A.
Posted from my mobile device
Attachments
IMG_20200826_125505~3.jpg [ 27.77 KiB | Viewed 2863 times ]
