Comprehension
Study the following information to answer these questions. 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.
(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.
Question: 1
Which of the following is the lightest in weight?
Which of the following is the lightest in weight?
Updated On: Oct 7, 2024
- C
- B
- A
- D
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The Correct Option is A
Solution and Explanation
The lightest article is C because:
\(A = 9C\)
\(B = 4.5C\)
\(D = 2C\)
\(E = 4C\)
Since \(w_A > w_E > w_C\), article C is the lightest.
The correct option is (A): C
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Question: 2
E is lighter in weight than which of the other two articles?
E is lighter in weight than which of the other two articles?
Updated On: Oct 7, 2024
- A,C
- D,C
- A,B
- D,B
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The Correct Option is C
Solution and Explanation
From the given conditions:
\(w_A = 9w_C\)
\(w_B = 4.5w_C\)
\(w_D = 2w_C\)
\(w_E = 4w_C\)
Since \(w_A > w_E > w_C\), article E is lighter than A and B.
The correct option is (C): A,B
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Question: 3
E is heavier than which of the following two articles?
E is heavier than which of the following two articles?
Updated On: Oct 7, 2024
- A,C
- D,C
- D,B
- A,B
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The Correct Option is B
Solution and Explanation
From the weight relationships:
\(w_E = 4w_C\)
\(w_D = 2w_C\)
\(w_C\) is the lightest.
Since \(w_E = 4w_C\), it is clear that:
\(w_E > w_D\) (because \(4w_C > 2w_C\))
\(w_E > w_C\) (because \(4w_C > w_C\))
Thus, article E is heavier than both C and D.
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Question: 4
Which of the following articles is the heaviest in weight?
Which of the following articles is the heaviest in weight?
Updated On: Oct 7, 2024
- C
- B
- A
- D
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The Correct Option is C
Solution and Explanation
From the weight relationships:
\(w_A = 9w_C\)
\(w_B = 4.5w_C\)
\(w_E = 4w_C\)
\(w_D = 2w_C\)
\(w_C\) is the base weight.
Since \(w_A = 9w_C\), article A is the heaviest in weight.
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