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Directions: Study the following information and answer the questions given below it:
A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
(i) A weights twice as much as B.
(ii) B weights four and a half times as much as C.
(iii) C weights half as much as D.
(iv) D weights half as much as E.
(v) E weights less than A but more than C.
Q. Which of the following is the lightest in weight?
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D
  • e)
    E
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the following information and answer the questions g...


Analysis:
- Let's analyze the given information step by step to determine the lightest iron article.

Given Information:
- A weights twice as much as B.
- B weights four and a half times as much as C.
- C weights half as much as D.
- D weights half as much as E.
- E weights less than A but more than C.

Step-by-Step Analysis:
1. Let's assume the weights of the iron articles as follows:
- Let the weight of B be x.
- Then, the weight of A is 2x.
- The weight of C is x/4.5.
- The weight of D is 2x.
- The weight of E is x/2.

2. Now, according to the given information:
- E < a="" (x/2="" />< 2x)="" /> x > 0.5x => x = 1
- E > C (x/2 > x/4.5) => 4.5x > 2x => x = 1

Conclusion:
- The weight of iron articles A, B, C, D, and E are 2, 1, 0.22, 0.44, and 0.5 respectively.
- Therefore, the lightest iron article is C.
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Community Answer
Directions: Study the following information and answer the questions g...
Understanding the Weights of the Articles:
From the information given, we can deduce the following:
  • Article A: We know that A weights twice as much as B. However, without knowing the weight of B, we cannot determine the exact weight of A.
  • Article B: B weighs four and a half times as much as C. Again, without the weight of C, we cannot determine the weight of B.
  • Article C: C weighs half as much as D, which means D is twice as heavy as C.
  • Article D: D weighs half as much as E, making E twice as heavy as D.
  • Article E: E weighs less than A but more than C.

Determining the Lightest Article:
From the above information, we can infer that C is the lightest article. Here's why:
  • C weighs half as much as D. This means C is lighter than D.
  • Since D weighs half as much as E, E is heavier than both C and D.
  • B weighs four and a half times as much as C. This implies B is heavier than C.
  • A weighs twice as much as B. Given that B is heavier than C, A is also heavier than C.
Hence, C is the lightest among all the articles.
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Directions: Study the following information and answer the questions given below it:A blacksmith has five iron articles A, B, C, D and E, each having a different weight.(i) A weights twice as much as B.(ii) B weights four and a half times as much as C.(iii) C weights half as much as D.(iv) D weights half as much as E.(v) E weights less than A but more than C.Q.Which of the following is the lightest in weight?a)Ab)Bc)Cd)De)ECorrect answer is option 'C'. Can you explain this answer?
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