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505-555 (Easy)|   Word Problems|               
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Assume 'a' km distance travelled on day towards east of X.
So total 2a distance on day 1.

Statement 1 - it gives us distance travelled on each subsequent day from day 2 in terms a, 2 times of previous day.

so day 2= 4a, day 3= 8a, day 4=16 a, day 5= 32a etc. and day 5 distance= 3.2 km. so we can find a and hence we can find distance travelled in 10 day.
Sufficient.

Statement 2 talks only about day 1, Not sufficient.
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Hello demawtf,

Hope you are doing well. Thank you so much for sharing the solution for this question. I just wanted to mention that it should be 16x=6.4 and not 16x=3.2 because total distance is both the onward and return trips.

Best,
Komal

demawtf
(1) From the second day onward, Mohit covered twice the distance he covered the previous day. On the fifth day, he covered 3.2 km from Point X east, and then back to Point X.

1D = x
2D = 2x
3D = 4x
4D = 8x
5D = 16x = 3,2 km --> x=0,2 ok we don't need to calculate but we can derive the km done in 10D.

(2) On the first day, Mohit cycled less than 0.3 km.­ --> basically is confirming what we have discovered in the first statement (x=0,2) but alone is not sufficient.

A is the answer­
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Thank you for noticing Komal324, modifying the text right now :)
Komal324
Hello demawtf,

Hope you are doing well. Thank you so much for sharing the solution for this question. I just wanted to mention that it should be 16x=6.4 and not 16x=3.2 because total distance is both the onward and return trips.

Best,
Komal


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Mohit went cycling on 10 consecutive days. Every day he started from Point X, cycled a certain distance in an easterly direction, and then returned to Point X. What is the total distance he covered in those 10 days?

(1) From the second day onward, Mohit covered twice the distance he covered the previous day. On the fifth day, he covered 3.2 km from Point X east, and then back to Point X.

(2) On the first day, Mohit cycled less than 0.3 km.­



In this question how to know 3.2 km is considered as round trip or single trip? Bunuel
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atquereiciendis
Mohit went cycling on 10 consecutive days. Every day he started from Point X, cycled a certain distance in an easterly direction, and then returned to Point X. What is the total distance he covered in those 10 days?

(1) From the second day onward, Mohit covered twice the distance he covered the previous day. On the fifth day, he covered 3.2 km from Point X east, and then back to Point X.

(2) On the first day, Mohit cycled less than 0.3 km.­



In this question how to know 3.2 km is considered as round trip or single trip? Bunuel
The wording “he covered 3.2 km from Point X east, and then back to Point X” treats 3.2 km as the one-way distance, not the round trip. But even if you misread it as a round trip, it doesn’t matter: statement (1) is still sufficient either way, because the doubling pattern lets you determine all daily distances and thus the total.
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Bunuel I believe it's not mentioned that "returned to point X" was the same route as he went before, why do we need to assume that in this case?
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Hey, if x=0.4, how is it <0.2. Why halve the value? I got midled because my x value was 0.4 which was >0.3 so i ended up picking E which was clearly wrong
demawtf
(1) From the second day onward, Mohit covered twice the distance he covered the previous day. On the fifth day, he covered 3.2 km from Point X east, and then back to Point X.

1D = x
2D = 2x
3D = 4x
4D = 8x
5D = 16x = 6,4 km --> x=0,4 ok we don't need to calculate but we can derive the km done in 10D.

(2) On the first day, Mohit cycled less than 0.3 km.­ --> basically is confirming what we have discovered in the first statement (x=0,2) but alone is not sufficient.

A is the answer­
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blablibu
Hey, if x=0.4, how is it <0.2. Why halve the value? I got midled because my x value was 0.4 which was >0.3 so i ended up picking E which was clearly wrong

I think you question is complete logical and it make sense. This is one of those poor quality GMAT question, surprisingly by GMAC itself, because regardless of the fact that answer here is A, two independent statement in Data sufficiency should never contradict each other.

Bunuel Could you please tell us about your insights regarding this. Thanks
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