Q. Four bags – Atlas, Bolt, Cargo, and Drift – have different weights.
Which bag is heavier: Bolt or Cargo?
(I) Atlas is heavier than Bolt but lighter than Drift.
(II) Cargo is lighter than Drift but heavier than Atlas.
Comparing Bag Weights: Bolt vs Cargo
The question asks us to determine which bag, Bolt or Cargo, is heavier, using the provided statements about the weights of four bags: Atlas, Bolt, Cargo, and Drift.
Analyzing Statement (I): Atlas Weight Comparison
Statement (I) states:
- Atlas is heavier than Bolt: \(Atlas \gt Bolt\)
- Atlas is lighter than Drift: \(Atlas \lt Drift\)
Combining these, we get the order: \(Drift \gt Atlas \gt Bolt\). This statement provides a relative order for Drift, Atlas, and Bolt. However, it does not include information about Cargo's weight relative to Bolt or Atlas. Therefore, Statement (I) alone is not sufficient to answer the question.
Analyzing Statement (II): Cargo Weight Comparison
Statement (II) states:
- Cargo is lighter than Drift: \(Cargo \lt Drift\)
- Cargo is heavier than Atlas: \(Cargo \gt Atlas\)
Combining these, we get the order: \(Drift \gt Cargo \gt Atlas\). This statement provides a relative order for Drift, Cargo, and Atlas. However, it does not include information about Bolt's weight relative to Cargo or Atlas. Therefore, Statement (II) alone is not sufficient to answer the question.
Combining Statements for Weight Determination
Now, let's combine the information from both statements:
- From Statement (I): \(Bolt \lt Atlas\)
- From Statement (II): \(Atlas \lt Cargo\)
Using the property of transitivity, we can combine these inequalities:
\(Bolt \lt Atlas \lt Cargo\)
This combined inequality clearly shows that Cargo is heavier than Bolt.
Conclusion on Data Sufficiency
Since we can determine that Cargo is heavier than Bolt by using information from both Statement (I) and Statement (II) together, the data in both statements are sufficient to answer the question. Data from either statement alone is not sufficient.
Therefore, the correct option is that data in both statements I and II together are sufficient.
Similar Questions
Read the following question and decide which of the given statements is/are sufficient to answer the question.
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2. Z × V = U
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Question: What was the revenue of the zoo on a certain day?
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Statements:
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What is the colour of the granite in the kitchen?
Statements:
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Important Questions from Data Sufficiency
Consider two Statements and a Question:
Statement 1: Priya is 4 ranks below Seema and is 31 st from the bottom.
Statement 2: Ena is 2 ranks above Seema and is 37" from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question:
Statement 1: Each of A and D is heavier than each of B, E and F, but none of them is the-heaviest.
Statement 2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A,B,C, D and E?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question :
Statement-1 : The last day of the month is a Wednesday.
Statement-2 : The third Saturday of the month was the seventeenth day.
Question : What day is the fourteenth of the given month ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider the Question and two Statements given below :
Question : Is xan integer?
Statement-1 : x / 3 is not an integer.
Statement-2 : 3 xis an integer.
Which one of the following is correct in respect of the Question and the Statements?
Consider the Question and two Statements given below:
Question : What is the age of Manisha?
Statement-1: Manisha is 24 years younger than her mother.
Statement-2 : 5 years later, the ages of Manisha and her mother will be in the ratio 3 : 5.
Which one of the following is correct in respect of the Question and the Statements?
