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city A from city B?

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by sanju09 » Thu Feb 09, 2012 4:19 am
How far in miles is city A from city B?
I. City A is 50 miles away from city C, whereas city B is 30 miles away from city C.
II. City A is 10 more miles far from city C as it is from city B.



[spoiler]made up by Sanjeev K Saxena for Avenues Abroad[/spoiler]
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Source: — Data Sufficiency |

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by Anurag@Gurome » Thu Feb 09, 2012 6:05 pm
sanju09 wrote:How far in miles is city A from city B?
I. City A is 50 miles away from city C, whereas city B is 30 miles away from city C.
II. City A is 10 more miles far from city C as it is from city B.

[spoiler]made up by Sanjeev K Saxena for Avenues Abroad[/spoiler]
(1) Distance between cities A and C = 50 miles
Distance between cities B and C = 30 miles
Drawing a figure makes it clear.

Image

If we take the first case, then distance between cities A and B = 50 - 30 = 20 miles
If we take a look at the 2nd figure, the distance between cities A and B = 50 + 30 = 80 miles
No definite answer; NOT sufficient.

(2) City A is 10 more miles far from city C as it is from city B.
Let the distance between cities A and B = x miles
Then distance between A and C = 10 + x; NOT sufficient.

Combining (1) and (2), distance between cities A and B = 20 miles (look at the 1st figure); SUFFICIENT.

The correct answer is C.
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by abhishantpandey » Fri Feb 10, 2012 3:12 am
Do we know the direction of each cities wrt to each other?I think we need to know the direction of cities wrt eachother to solve.

Please let me know if my thought process is correct.
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by Anurag@Gurome » Fri Feb 10, 2012 4:00 am
abhishantpandey wrote:Do we know the direction of each cities wrt to each other?I think we need to know the direction of cities wrt eachother to solve.

Please let me know if my thought process is correct.
Yes, that's absolutely correct. This is why statement 1 alone is not sufficient, and the figures explains this.
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by sanju09 » Fri Feb 10, 2012 4:36 am
Anurag@Gurome wrote:
abhishantpandey wrote:Do we know the direction of each cities wrt to each other?I think we need to know the direction of cities wrt eachother to solve.

Please let me know if my thought process is correct.
Yes, that's absolutely correct. This is why statement 1 alone is not sufficient, and the figures explains this.
great.
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by Anurag@Gurome » Fri Feb 10, 2012 4:38 am
sanju09 wrote: I wish I could also see the figures.
Sanju, figures are there in the 1st reply i have given above. Please see if it helps.
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by sanju09 » Fri Feb 10, 2012 4:39 am
Anurag@Gurome wrote:
Sanju, figures are there in the 1st reply i have given above. Please see if it helps.
So what? Did I say a thing? :wink:
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by sanju09 » Fri Feb 10, 2012 4:52 am
Anurag@Gurome wrote:
sanju09 wrote:How far in miles is city A from city B?
I. City A is 50 miles away from city C, whereas city B is 30 miles away from city C.
II. City A is 10 more miles far from city C as it is from city B.

[spoiler]made up by Sanjeev K Saxena for Avenues Abroad[/spoiler]
(1) Distance between cities A and C = 50 miles
Distance between cities B and C = 30 miles
Drawing a figure makes it clear.

Image

If we take the first case, then distance between cities A and B = 50 - 30 = 20 miles
If we take a look at the 2nd figure, the distance between cities A and B = 50 + 30 = 80 miles
No definite answer; NOT sufficient.

(2) City A is 10 more miles far from city C as it is from city B.
Let the distance between cities A and B = x miles
Then distance between A and C = 10 + x; NOT sufficient.

Combining (1) and (2), distance between cities A and B = 20 miles (look at the 1st figure); SUFFICIENT.

The correct answer is C.
I think if we combine, we'd have distance between cities A and B = 40 miles, thus proving the first figure inapplicable.
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by dadu » Sat Feb 11, 2012 4:06 am
Anurag@Gurome wrote:
sanju09 wrote:How far in miles is city A from city B?
I. City A is 50 miles away from city C, whereas city B is 30 miles away from city C.
II. City A is 10 more miles far from city C as it is from city B.

[spoiler]made up by Sanjeev K Saxena for Avenues Abroad[/spoiler]
(1) Distance between cities A and C = 50 miles
Distance between cities B and C = 30 miles
Drawing a figure makes it clear.

Image

If we take the first case, then distance between cities A and B = 50 - 30 = 20 miles
If we take a look at the 2nd figure, the distance between cities A and B = 50 + 30 = 80 miles
No definite answer; NOT sufficient.

(2) City A is 10 more miles far from city C as it is from city B.
Let the distance between cities A and B = x miles
Then distance between A and C = 10 + x; NOT sufficient.

Combining (1) and (2), distance between cities A and B = 20 miles (look at the 1st figure); SUFFICIENT.

The correct answer is C.
Quick question. How do we know all the three cities are in a straight line?
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by rijul007 » Sat Feb 11, 2012 1:25 pm
dadu wrote: Quick question. How do we know all the three cities are in a straight line?

Good question :D
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by bharti06 » Sun Feb 12, 2012 4:44 am
Sanju09,
could you please confirm the OA?

I am still not able to get how can it be C....IMO we cant deduce if the cities are in straight line from A & B taken together....so should be E?

Please clarify. thanks.
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by Pranoy9 » Sun Feb 12, 2012 11:50 pm
IMO it should be E.
If we combine both statements, both must hold true for the final answer.
However, by combining, we find that A - B=40 & B -C=10 but it contradicts statement 1 which says B to C = 30. So my question is how can 2 statements contradict to give C as an answer.
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by abhishantpandey » Mon Feb 13, 2012 12:21 am
I am still not convinced.

How far in miles is city A from city B?
I. City A is 50 miles away from city C, whereas city B is 30 miles away from city C.
II. City A is 10 more miles far from city C as it is from city B.

Statement 2 tells about how far City A is from C.Does that mean A, B and C are in same direction?
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by sanju09 » Mon Feb 13, 2012 2:28 am
bharti06 wrote:Sanju09,
could you please confirm the OA?

I am still not able to get how can it be C....IMO we cant deduce if the cities are in straight line from A & B taken together....so should be E?

Please clarify. thanks.
[spoiler]OA C[/spoiler]

We are to answer distance AB. Statement I says that distance AC is 50, and statement II says that distance AB is 10 less than distance AC, or AB = 50 - 10 = 40.
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by bharti06 » Mon Feb 13, 2012 4:07 am
sanju09 wrote:
bharti06 wrote:Sanju09,
could you please confirm the OA?

I am still not able to get how can it be C....IMO we cant deduce if the cities are in straight line from A & B taken together....so should be E?

Please clarify. thanks.
[spoiler]OA C[/spoiler]

We are to answer distance AB. Statement I says that distance AC is 50, and statement II says that distance AB is 10 less than distance AC, or AB = 50 - 10 = 40.
Thanks sanju09...I guess now it did make some sense to me....and for option C to be correct it is not necessary that A, B and C are in a straight line...they could be in straight line or C could be somewhere between A and B....thanks for your explanation.....
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