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What is the number of 360-degree rotations that a bicycle wh

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What is the number of 360-degree rotations that a bicycle wh [#permalink] New post 26 Jan 2014, 09:44
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?

(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter.
(2) The wheel made twenty 360-degree rotations per minute.

Data Sufficiency
Question: 59
Category: Geometry Circles
Page: 157
Difficulty: 600


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Re: What is the number of 360-degree rotations that a bicycle wh [#permalink] New post 26 Jan 2014, 09:45
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SOLUTION

What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?

1 revolution of a circle = circumference of that circle. So, we basically asked to find the value of 100/(circumference).

(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter. We can get the circumference. Sufficient.

(2) The wheel made twenty 360-degree rotations per minute. We cannot get the circumference. Not sufficient.

Answer: A.

Similar questions to practice:
a-circular-rim-28-inches-in-diameter-rotates-the-same-number-65106.html
two-wheels-are-connected-via-a-conveyor-belt-the-larger-133697.html
how-long-in-minutes-did-it-take-a-bicycle-wheel-to-roll-130026.html
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Re: What is the number of 360-degree rotations that a bicycle wh [#permalink] New post 26 Jan 2014, 10:40
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?

(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter.
(2) The wheel made twenty 360-degree rotations per minute.



Statement 1) We have the diameter, we can determine circumference. From there we can determine the number of full 360 rotations
by using the formula = Distance traveled/circumference - Hence Sufficient.

Statement 2) We just know it makes full 360 - degree rotation every one minute. We don't know what is the time taken by the bicycle to travel the distance.
Not Sufficient.

Hence Option A)
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Re: What is the number of 360-degree rotations that a bicycle wh [#permalink] New post 26 Jan 2014, 22:42
From S1:diameter=circumference of wheel=distance covered in one rotation
total dist.=100 metres=>no. of rotations =total dist/dist. covered in one rotation.Hence,sufficient
From S2:20 rotations=1 min.But we don't know the speed of the wheel(time taken to cover 100 metres).Hence,insufficient.
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Re: What is the number of 360-degree rotations that a bicycle wh [#permalink] New post 28 Jan 2014, 01:35
From Statement (1), we can get the circumference of the wheel. Circumference=pid=0.5pi, where d is the diameter.

So the number of rotations=100/(pid) Sufficient

From statement (2), we need to know the wheel's speed for the entire 100m or the total time it took rolling for 100m to be able to calculate the number of rotations.

Answer A
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Re: What is the number of 360-degree rotations that a bicycle wh [#permalink] New post 01 Feb 2014, 08:30
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SOLUTION

What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?

1 revolution of a circle = circumference of that circle. So, we basically asked to find the value of 100/(circumference).

(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter. We can get the circumference. Sufficient.

(2) The wheel made twenty 360-degree rotations per minute. We cannot get the circumference. Not sufficient.

Answer: A.

Similar questions to practice:
a-circular-rim-28-inches-in-diameter-rotates-the-same-number-65106.html
two-wheels-are-connected-via-a-conveyor-belt-the-larger-133697.html
how-long-in-minutes-did-it-take-a-bicycle-wheel-to-roll-130026.html
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What is the number of 360-degree rotations that a bicycle wh   [#permalink] 01 Feb 2014, 08:30
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