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Question

The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks can translate towards the left (←) or the right (→) direction.

If the object A (Rack) is translating towards the right (→) direction, the correct statement among the following is

The correct answer is
Object B translates towards the left direction.

To solve this problem, we need to understand the mechanics of how the pinions (circular objects) and racks (flat objects) interact when movement occurs. The question involves a gear train system with the following components:

  1. Observation: Object A is a rack moving towards the right (→). This movement will cause the pinion it is engaged with (Object P) to rotate.
  2. Direction of Rotation: As Object A moves to the right, Object P will rotate clockwise because they are in direct contact, and racks translate the rotational movement into linear and vice versa.
  3. Effect on Adjacent Pinions: Object P, rotating clockwise, will drive Object Q. Due to gearing, Object Q will rotate in the opposite direction, which is anti-clockwise.
  4. Effect on Object R: Since Object Q is rotating anti-clockwise, it will cause Object R to rotate clockwise (adjacent pinions move in opposite directions).
  5. Effect on Rack B: Object R, rotating clockwise, will drive Rack B. As racks and pinions translate rotational movement into linear, the rack will move opposite to the rotation of the pinion. Therefore, Rack B will move towards the left (←).

Conclusion: Based on the chain of interactions, the correct statement is that Object B translates towards the left direction. This is supported by the mechanics of the gear system where adjacent pinions rotate in opposite directions, and the linear movement of racks is determined by the rotation of the pinions they engage with.

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Important Questions from Reasoning

  1. 'Neigh' is related to 'Horse' in the same way as 'Bleat' is related to ____

  2. Three of the following four letter-clusters are alike in a certain way and one is different. Select the odd one.

  3. Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R) :

    Assertion (A): Substance is always the subject of all predicates.

    Reason (R): Substance is self-existent and self-conceived.

    In the light of the above statements. choose the correct answer from the options given below:

  4. Given below is a question followed by three statements. Identify the statements that are necessary to answer the question.

    Question: What is the percentage profit gained by a vendor when he sells an article?

    Statements:

    (i) He gives a 10% discount on the marked price.

    (ii) He would have earned 25% profit if he did not give any discount.

    (iii) The cost price of the article is Rs. 8000.

    Choose the correct option from those given below :

  5. Given below are two statements:

    Statement I: Human reason has this peculiar fate that it reaches at a stage when it can neither answer certain questions nor can it ignore such questions.

    Statement II:  Human reason, by its own nature, is not competent to resolve certain questions concerning the ultimate reality.

    In light of the above statements, choose the  most appropriate  answer from the options given below

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