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 a line passes through the origin and the point (3, d), wh
[#permalink]
Updated on: 28 Mar 2019, 04:35
Updated on: 28 Mar 2019, 04:35
1
2
Bookmarks
00:00
Question Stats:
85% (01:18) correct
14% (04:00) wrong based on 7 sessions
Hide Show timer Statistics
If a line passes through the origin and the point (3, d), where 3 < d < 6, which of the following could be the slope of the line?
A. 1
B. 5/4
C. 4/3
D. 3/2
E. 5/3
F. 7/4
G. 2
A. 1
B. 5/4
C. 4/3
D. 3/2
E. 5/3
F. 7/4
G. 2
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If a line passes through the origin and the point (3, d), wh
[#permalink]
27 Mar 2019, 07:29
27 Mar 2019, 07:29
2
alamin wrote:
If a line passes through the origin and the point (3, d), where 3 < d < 6, which of the following could be the slope of the line?
A. 1
B. 54
C. 43
D. 32
E. 53
F. 74
G. 2
A. 1
B. 54
C. 43
D. 32
E. 53
F. 74
G. 2
Let's examine the two EXTREME cases: d = 3 and d = 6
For each extreme case, we'll apply the slope formula using the given coordinates AND (0, 0), the coordinates of the origin.
Case i: d = 3
So, the coordinates are (3,3)
Slope = (3 - 0)/(3 - 0) = 3/3 = 1
Case ii: d = 6
So, the coordinates are (3,6)
Slope = (6 - 0)/(3 - 0) = 6/3 = 2
Do, the slope must be BETWEEN 1 and 2
Check the answer choices . . . . hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Is the question correctly transcribed?
Re: If a line passes through the origin and the point (3, d), wh
[#permalink]
24 Apr 2021, 21:53
24 Apr 2021, 21:53
1
Slope must lie between 1 and 2 considering the extremes (3/3 and 6/3).
Except A and G, all lie between 1 and 2.
Except A and G, all lie between 1 and 2.
