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
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
Question: 1
Which of the following is the lightest in weight?
Which of the following is the lightest in weight?
Updated On: Sep 25, 2024
- A
- B
- C
- D
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The Correct Option is C
Solution and Explanation
The correct option is (C): C
Explanation: Based on the given relationships, we can express the weights in terms of C: let C weigh \(x\). Then, B weighs \(4.5x\), A weighs \(9x\), D weighs \(2x\), and E weighs \(4x\). Comparing these weights, C is the smallest at \(x\), making it the lightest article. Therefore, the correct answer is option C – C is the lightest in weight.
Explanation: Based on the given relationships, we can express the weights in terms of C: let C weigh \(x\). Then, B weighs \(4.5x\), A weighs \(9x\), D weighs \(2x\), and E weighs \(4x\). Comparing these weights, C is the smallest at \(x\), making it the lightest article. Therefore, the correct answer is option C – C is the lightest in weight.
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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: Sep 25, 2024
- A,B
- D,C
- A,C
- D,B
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The Correct Option is A
Solution and Explanation
The correct option is (A): A,B
Explanation:From the weight relationships established earlier, we know that E weighs \(4x\), A weighs \(9x\), and B weighs \(4.5x\). Since \(4x\) (E's weight) is less than both \(9x\) (A's weight) and \(4.5x\) (B's weight), E is indeed lighter than both A and B. Therefore, the correct answer is option A – E is lighter in weight than both A and B.
Explanation:From the weight relationships established earlier, we know that E weighs \(4x\), A weighs \(9x\), and B weighs \(4.5x\). Since \(4x\) (E's weight) is less than both \(9x\) (A's weight) and \(4.5x\) (B's weight), E is indeed lighter than both A and B. Therefore, the correct answer is option A – E is lighter in weight than both A and 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: Sep 25, 2024
- D,B
- D,C
- A,C
- A,B
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The Correct Option is B
Solution and Explanation
The correct option is (B): D,C
Explanation: From the established weights, E weighs \(4x\), D weighs \(2x\), and C weighs \(x\). Since \(4x\) (E's weight) is heavier than both \(2x\) (D's weight) and \(x\) (C's weight), E is indeed heavier than both D and C. Thus, the correct answer is Option B – E is heavier than D and C.
Explanation: From the established weights, E weighs \(4x\), D weighs \(2x\), and C weighs \(x\). Since \(4x\) (E's weight) is heavier than both \(2x\) (D's weight) and \(x\) (C's weight), E is indeed heavier than both D and C. Thus, the correct answer is Option B – E is heavier than D and C.
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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: Sep 25, 2024
- A
- B
- C
- D
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The Correct Option is A
Solution and Explanation
The correct option is (A): A
Explanation: From the weight relationships established earlier, A weighs \(9x\), B weighs \(4.5x\), C weighs \(x\), D weighs \(2x\), and E weighs \(4x\). Comparing these weights, A is the heaviest at \(9x\). Therefore, the correct answer is Option A – A is the heaviest in weight.
Explanation: From the weight relationships established earlier, A weighs \(9x\), B weighs \(4.5x\), C weighs \(x\), D weighs \(2x\), and E weighs \(4x\). Comparing these weights, A is the heaviest at \(9x\). Therefore, the correct answer is Option A – A is the heaviest in weight.
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Question: 5
Which of the following represents the descending order of weights of the articles?
Which of the following represents the descending order of weights of the articles?
Updated On: Sep 25, 2024
- A, B, E, D, C
- B, D, E, A, C
- A, B, C, D, E
- C, D, E, B, A
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The Correct Option is A
Solution and Explanation
The correct option is (A): A, B, E, D, C
Explanation: Based on the established weights, we have the following hierarchy: A weighs \(9x\), B weighs \(4.5x\), E weighs \(4x\), D weighs \(2x\), and C weighs \(x\). In descending order, the weights are A, B, E, D, and C. Therefore, the correct answer is Option A – A, B, E, D, C.
Explanation: Based on the established weights, we have the following hierarchy: A weighs \(9x\), B weighs \(4.5x\), E weighs \(4x\), D weighs \(2x\), and C weighs \(x\). In descending order, the weights are A, B, E, D, and C. Therefore, the correct answer is Option A – A, B, E, D, C.
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