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.
Amys school is 10 miles from her home. She travels 4 miles from schoo
[#permalink]
02 May 2023, 07:26
02 May 2023, 07:26
Expert Reply
2
Bookmarks
00:00
Question Stats:
57% (01:17) correct
42% (01:50) wrong based on 21 sessions
Hide Show timer Statistics
Amy’s school is 10 miles from her home. She travels 4 miles from school to tennis practice. If she is then X miles from her home, what could be the possible value of X?
Indicate all the apply
4
6
8
10
12
14
16
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE GEOMETRY
Indicate all the apply
4
6
8
10
12
14
16
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE GEOMETRY
ShowHide Answer
Official Answer
B,C,D,E,F
Amys school is 10 miles from her home. She travels 4 miles from schoo
[#permalink]
28 May 2023, 00:10
28 May 2023, 00:10
3
Expert Reply
OE
She travels 4 miles further from school to tennis practice,
CASE I:
GRe case I.jpg [ 21.75 KiB | Viewed 1595 times ]
Now, x = 14
GRE case II.jpg [ 24.41 KiB | Viewed 1599 times ]
Now, x = 10 – 4 = 6
CASE III: It is not necessary that she travels in a straight line.
GRE case III.jpg [ 48.01 KiB | Viewed 1588 times ]
We can observe, if she goes on any other path, we get a triangle and we need to find the
third side, that is, x.
We know, in a triangle,
Difference of other 2 sides < Any side of the triangle < Sum of other 2 sides
that is, (10- 4) < x < (10+ 4)
that is, 6 < x < 14
As maximum possible distance is 14 and the minimum possible is 6.
6 ≤ X ≤ 14
Hence, the possible values are B, C, D E and F.
Ans. (B, C, D, E, F)
She travels 4 miles further from school to tennis practice,
CASE I:
Attachment:
GRe case I.jpg [ 21.75 KiB | Viewed 1595 times ]
Now, x = 14
Attachment:
GRE case II.jpg [ 24.41 KiB | Viewed 1599 times ]
Now, x = 10 – 4 = 6
CASE III: It is not necessary that she travels in a straight line.
Attachment:
GRE case III.jpg [ 48.01 KiB | Viewed 1588 times ]
We can observe, if she goes on any other path, we get a triangle and we need to find the
third side, that is, x.
We know, in a triangle,
Difference of other 2 sides < Any side of the triangle < Sum of other 2 sides
that is, (10- 4) < x < (10+ 4)
that is, 6 < x < 14
As maximum possible distance is 14 and the minimum possible is 6.
6 ≤ X ≤ 14
Hence, the possible values are B, C, D E and F.
Ans. (B, C, D, E, F)
Re: Amys school is 10 miles from her home. She travels 4 miles from schoo
[#permalink]
11 Oct 2023, 09:35
11 Oct 2023, 09:35
Carcass wrote:
OE
She travels 4 miles further from school to tennis practice,
CASE I:
Now, x = 14
Now, x = 10 – 4 = 6
CASE III: It is not necessary that she travels in a straight line.
We can observe, if she goes on any other path, we get a triangle and we need to find the
third side, that is, x.
We know, in a triangle,
Difference of other 2 sides < Any side of the triangle < Sun of other 2 sides
that is, (10- 4) < x < (10+ 4)
that is, 6 < x < 14
As maximum possible distance is 14 and the minimum possible is 6.
6 ≤ X ≤ 14
Hence, the possible values are B, C, D E and F.
Ans. (B, C, D, E, F)
She travels 4 miles further from school to tennis practice,
CASE I:
Attachment:
GRe case I.jpg
Now, x = 14
Attachment:
GRE case II.jpg
Now, x = 10 – 4 = 6
CASE III: It is not necessary that she travels in a straight line.
Attachment:
GRE case III.jpg
We can observe, if she goes on any other path, we get a triangle and we need to find the
third side, that is, x.
We know, in a triangle,
Difference of other 2 sides < Any side of the triangle < Sun of other 2 sides
that is, (10- 4) < x < (10+ 4)
that is, 6 < x < 14
As maximum possible distance is 14 and the minimum possible is 6.
6 ≤ X ≤ 14
Hence, the possible values are B, C, D E and F.
Ans. (B, C, D, E, F)
Oh! Thank you. Just a quick question -- when we are applying the triangle inequality, it's a strict inequality and then in the next line it's not. In another sum, too, the correct answers did not include the strict ineq values (like here it's 6 and 14). So, how do we know when to apply strict inequality and when not to?
