GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If 30 < a < 64, which of the following could be the value of
[#permalink]
06 May 2020, 09:50
06 May 2020, 09:50
1
Expert Reply
00:00
Question Stats:
65% (01:32) correct
34% (01:19) wrong based on 26 sessions
Hide Show timer Statistics
Attachment:
#greprepclub If 30 a 64, which of the following could be the value of.jpg [ 9.93 KiB | Viewed 2691 times ]
If \(30 < a < 64\), which of the following could be the value of \(b + d\) ?
Indicate all such values.
A. 32
B. 108
C. 147
D. 232
E. 247
F. 289
G. 328
Re: If 30 < a < 64, which of the following could be the value of
[#permalink]
06 May 2020, 23:01
06 May 2020, 23:01
2
Since opposite angles are equal, a = c.
We're given that 30<a<64, thus, a can range from 31 to 63.
Thus, a+c = 31+31 = 62 or a+c = 63+63 = 126.
The complete angle formed by a, b, c, d is 360.
Thus, 360-62 = 298 and 360-126= 234.
From the given options, only E and F satisfy the condition.
We're given that 30<a<64, thus, a can range from 31 to 63.
Thus, a+c = 31+31 = 62 or a+c = 63+63 = 126.
The complete angle formed by a, b, c, d is 360.
Thus, 360-62 = 298 and 360-126= 234.
From the given options, only E and F satisfy the condition.
Re: If 30 < a < 64, which of the following could be the value of
[#permalink]
06 May 2020, 23:31
06 May 2020, 23:31
1
30 < a < 64
=> 60 < a+c < 124 (because a = c as they are opposite angles)
=> 360 - 124 < 360 - (a+c) < 360 - 60
=> 232 < b+d < 300 (because a+b+c+d = 360)
So, the answers are E and F.
=> 60 < a+c < 124 (because a = c as they are opposite angles)
=> 360 - 124 < 360 - (a+c) < 360 - 60
=> 232 < b+d < 300 (because a+b+c+d = 360)
So, the answers are E and F.
