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A bicycle wheel has spokes that go from a center point in the hub to equally spaced points on the rim of the wheel. If there are fewer than six spokes, what is the smallest possible angle between any two spokes?
  • a)
    18°
  • b)
    30°
  • c)
    40°
  • d)
    60°
  • e)
    72°
Correct answer is option 'E'. Can you explain this answer?
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Most Upvoted Answer
A bicycle wheel has spokes that go from a center point in the hub to e...
To find the smallest possible angle between any two spokes, we need to determine the maximum number of spokes on the wheel.
For a bicycle wheel, the number of spokes is typically even and can be 2, 4, 6, 8, and so on. However, the question states that there are fewer than six spokes. Therefore, the possible numbers of spokes are 2, 4, or 5.
For 2 spokes, the angle between them is 180 degrees.
For 4 spokes, the angle between any two adjacent spokes is 360 degrees divided by 4, which is 90 degrees.
For 5 spokes, the angle between any two adjacent spokes is 360 degrees divided by 5, which is 72 degrees.
Since we want to find the smallest possible angle, we choose the smallest value among the options, which is 72 degrees.
Therefore, the smallest possible angle between any two spokes is 72 degrees. Hence, the answer is E.
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An Australian group named Action Council on Smoking and Health (ACSH) has recently lobbied to make warnings on cigarette packets more graphic. The council proposed that striking visual photos of diseased organs should be put on at least 50% of outside packaging, in conjunction with health warnings outlining smoking hazards enumerated in a separate leaflet placed inside the cigarette packet. The ACSH claim that bland and ineffectual warnings like "Smoking is a health hazard" currently found on cigarette packets are not nearly sufficient. Substituting those inadequate admonitions with explicit photos will provide a powerful visual stimulus to help smokers relinquish their habit. The current cautions on cigarette packets have little or no impact on smokers who have grown immune to the warnings that focus on abstract tobacco related risks and illnesses from which smokers can easily disassociate themselves. The proposed new tactics would concentrate on the perspective of the individual smoker through a demonstration of what is occurring in his body each time he reaches for a cigarette, rather than a generic cautionary word of advice.The ACSH cited the results of recent studies conducted by psychologists at McKean University confirming that evidence related to ones own experience is more effective at influencing future behavior than a presentation of facts and figures. An further rationale for the addition of pictures to cigarette packages is the finding that smokers handle their packets 20-30 times a day, on average, thus, if graphic pictures on cigarette packets were introduced, smoker would have 20-30 chances to face the harsh reality of what damage they are doing to themselves each time they light up. Even more essential than the pictures on the outside label, ACSH strongly advocate including warnings and helpful information in a leaflet inserted into the packet of cigarettes. Even an analgesic, ACSH adds, found in every bathroom cabinet has all possible side effects enumerated in the insert. How much more imperative is it then when the substance in question is tobacco, a dried weed that contains highly noxious nicotine that society still accepts even though it kills one of every two of its users. Fundamentally, what is at stake here is consumer rights. Smokers should know what substances they are inhaling, and what damage they are inflicting to their bodies, though surprisingly, even today, many do not. For this reason alone, the recommendation for more graphic pictures and warnings on cigarette packets, which many seem excessive, is being seriously considered.Q. Which of the following, if true, would be most useful in supporting the claims made by the ACSH?

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A bicycle wheel has spokes that go from a center point in the hub to equally spaced points on the rim of the wheel. If there are fewer than six spokes, what is the smallest possible angle between any two spokes?a)18°b)30°c)40°d)60°e)72°Correct answer is option 'E'. Can you explain this answer?
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