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Consider the following diagrams:
Q.x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x and y?
  • a)
    diagram I
  • b)
    diagram II
  • c)
    diagram III
  • d)
    diagram IV
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following diagrams:Q.x men, working at constant speed, do...
You can see it diagram wise (Technique 1) or mathematically (Technique 2).
Diagram I: Even for zero x, there exists some y (i.e. it assumes some value). This means, even if there are no men, there exist some working days, which is wrong.
Diagram II: If x is increased y is also increased. This means if no. of men are increased then the no. of working days increased, which is wrong.
Diagram III: This has two parts in it, a vertical line and a horizontal line. Vertical line suggests infinite working days for some number of workers, which is wrong. Horizontal line suggests, same working days even if the no of men is increased/decreased which is also wrong.
Diagram IV: This shows the correct relation i.e. no. of working days reduces as no. Of men are increased. 
You can see this in terms of a mathematical equation too (Technique 2): Here x and y are inversely related. If x, the number of men increases, then, y, the number of days for completing the work decreases. So, mathematically they are inversely proportional. => x multiplied(1/y) => xy = constant This is an equation of a rectangular hyperbola which is shown in diagram IV.
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Consider the following diagrams:Q.x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x and y?a)diagram Ib)diagram IIc)diagram IIId)diagram IVCorrect answer is option 'D'. Can you explain this answer?
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Consider the following diagrams:Q.x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x and y?a)diagram Ib)diagram IIc)diagram IIId)diagram IVCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Consider the following diagrams:Q.x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x and y?a)diagram Ib)diagram IIc)diagram IIId)diagram IVCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following diagrams:Q.x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x and y?a)diagram Ib)diagram IIc)diagram IIId)diagram IVCorrect answer is option 'D'. Can you explain this answer?.
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