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

Solution:

To determine which article is the heaviest, we need to analyze the given information step by step.

Step 1: Comparing weights of A and B
From (i), we know that A weighs twice as much as B. So, we can represent their weights as:
A = 2B

Step 2: Comparing weights of B and C
From (ii), we know that B weighs four and a half times as much as C. So, we can represent their weights as:
B = 4.5C

Step 3: Comparing weights of C and D
From (iii), we know that C weighs half as much as D. So, we can represent their weights as:
C = 0.5D

Step 4: Comparing weights of D and E
From (iv), we know that D weighs half as much as E. So, we can represent their weights as:
D = 0.5E

Step 5: Comparing weights of A, E, and C
From (v), we know that E weighs less than A but more than C. Combining this information with the previous equations, we can infer that:
E < a="" and="" c="" />< />

Step 6: Combining all the equations
Let's substitute the values from equations (i) to (iv) into equation (v) to compare the weights of A, E, and C.
C < e="" can="" be="" rewritten="" />
0.5D < />

Substituting D = 0.5E from equation (iv), we have:
0.5(0.5E) < />
0.25E < />
0.25 < />

This implies that E is the heaviest article among A, E, and C.

Conclusion:
Based on the given information and analysis, the heaviest article is E. Therefore, the correct answer is option (E).
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Community Answer
Directions: Study the following information and answer the questions g...
Clearly, A is the heaviest in weight.
We can approach the problem by creating equations based on the clues given and then comparing the weights.
  • From statement (i):
    We know that A weighs twice as much as B. If we denote B's weight as b, then A's weight (a) can be expressed as a = 2b.
  • From statement (ii):
    We learn that B weighs four and a half times as much as C. If we denote C's weight as c, then B's weight (b) can be expressed as b = 4.5c.
  • From statement (iii):
    We know that C weighs half as much as D. If we denote D's weight as d, then C's weight (c) can be expressed as c = 0.5d.
  • From statement (iv):
    We learn that D weighs half as much as E. If we denote E's weight as e, then D's weight (d) can be expressed as d = 0.5e.
  • From statement (v):
    We know that E weighs less than A but more than C. This gives us the inequalities e < a and e > c.

Now we can substitute the equations from statements (ii), (iii), and (iv) into the inequalities from statement (v) to get:
  • 0.5e < 2(4.5c) and 0.5e > 0.5d
  • Simplifying, we get e < 9c and e > d
Since e > d and e < 9c, it implies that A is the heaviest article as it is twice the weight of B, and B is 4.5 times the weight of C.
Therefore, the heaviest article is A.
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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 articles is the heaviest in weight?a)Ab)Bc)Cd)De)ECorrect answer is option 'A'. Can you explain this answer?
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