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10 Dec 2020, 13:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
76% (01:13) correct
24%
(01:48)
wrong
based on 71
sessions
History
Date
Time
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Not Attempted Yet
If AB = AC and ∠1 > ∠B, then
(A) ∠B > ∠C
(B) ∠1 > ∠C
(C) BD > AD
(D) AB > AD
(E) ∠ADC > ∠ADB
Attachment:
2020-12-10_13-10-12.png [ 41.54 KiB | Viewed 1843 times ]
10 Dec 2020, 20:24
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[quote="Bunuel"]
If AB = AC and ∠1 > ∠B, then
(A) ∠B > ∠C
AB = AC, so ∠B = ∠C. So not true ever.
(B) ∠1 > ∠C
Now ∠B = ∠C and ∠1 > ∠B, so ∠1 > ∠C.....True
(C) BD > AD
A could be at any distance from D.
Need not be true
(D) AB > AD
Now D is between BC, so AB is always greater than AD. So AD will be greater only when it does not lie between B and C, but beyond B or beyond C.
Bunuel, please check. There may be some error as this also should be true and we cannot have two correct options.
(E) ∠ADC > ∠ADB
If D is closer to B than C, ∠ADC will be less than 90 and ∠ADB will be greater than 90. So need not be true.
B if there is some error in D.
If AB = AC and ∠1 > ∠B, then
(A) ∠B > ∠C
AB = AC, so ∠B = ∠C. So not true ever.
(B) ∠1 > ∠C
Now ∠B = ∠C and ∠1 > ∠B, so ∠1 > ∠C.....True
(C) BD > AD
A could be at any distance from D.
Need not be true
(D) AB > AD
Now D is between BC, so AB is always greater than AD. So AD will be greater only when it does not lie between B and C, but beyond B or beyond C.
Bunuel, please check. There may be some error as this also should be true and we cannot have two correct options.
(E) ∠ADC > ∠ADB
If D is closer to B than C, ∠ADC will be less than 90 and ∠ADB will be greater than 90. So need not be true.
B if there is some error in D.
10 Dec 2020, 20:31
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If AB = AC and ∠1 > ∠B, then
If AB = AC =>Angle B = Angle C
Since ∠1 > ∠B, so ∠1 > ∠C which makes Option B as True.
(A) ∠B > ∠C
(B) ∠1 > ∠C
(C) BD > AD
(D) AB > AD
(E) ∠ADC > ∠ADB
