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
In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Among the five poles—I, N, C, H, and L—each having a different height, which pole is the tallest?
(I) I is shorter than N but taller than C. C is taller than only one pole.
(II) H is taller than L.
In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Q. Among five people – A, B, C, D, and E – who is the tallest?
(I) A is taller than B. B is taller than C.
(II) D is taller than E.
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Among 5 sticks, B, U, N, M and D, each having a different height, which stick is the shortest?
(I) D is shorter than U. M is shorter than B.
(II) M is taller than D.A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and select the most appropriate answer.
Question:
Among five trees N, O, R, S, and T, each having a different height, which tree is the tallest?Statements:
(I) T is taller than R. N is taller than T.
(II) R is shorter than O but taller than S.- A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Q. Four relatives – Leena, Mona, Pooja, and Reema – are of different ages.
Who is the second oldest?
(I) Mona is older than Leena but younger than Reema.
(II) Pooja is younger than Reema but older than Mona. In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Among the five poles—I, N, C, H, and L—each having a different height, which pole is the shortest?
(I) L is shorter than N. H is shorter than I.
(II) H is taller than L.- A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and select the most appropriate answer.
Question:
Among 5 poles, I, L, O, M and D each having a different height, which pole is the tallest?
Statements:
(I) I is taller than only two poles. L is taller than D and no pole has height between L and D.
(II) M is taller than D. Consider the given question and decide which of the following statements is sufficient to answer the question.
Is Raju fond of travelling?
Statements:
1. Raju has seen the Eastern, the Western, the Northern and the Southern parts of India.
2. Raju likes to be in the company of his friends.Consider the given question and decide which of the following statements is/are sufficient to answer the question.
Between X and Y who is the better dancer?
Statements:
1. X had given more dance auditions.
2. Y had given more dance performances than X.Consider the given question and decode which of the following statements is sufficient to answer the question.
Who among P, Q, R, S and T is lightest in weight?
Statements:
1. Q weight < P and S also S weight > T
2. R weight > Q but < T
Important Questions from Data Sufficiency
Please read the below equation and select an appropriate option from the following.
x + y = 10 ; y = x - 2
Quantity A is x.
Quantity B is y.
A lady wants to buy the following items in the given price range-
1. Tomato between Rs. 40 and Rs. 45 per kg.
2. Grapes in the price range of Rs. 80 and Rs. 90 per kg.
3. Milk packets at Rs. 23 per liter.
In which shop from the following will she definitely get all her items/
A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter.
B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg.
C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg.
D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
When is Yuvi's wedding anniversary?
Statements:
1: On the 7 th day of a month.
2. The month has 29 days only in a leap year.
One question and three statements are numbered (I), (II) and (III). You have to decide whether the facts given in the statements are sufficient to answer the question given below.
Question: What is the length of the rectangle?
Statement:
I. The perimeter of the rectangle is 80 meters.
II. The sum of the adjacent sides is 40 meters.
III. The width of the rectangle is 10 meters.
Choose the correct option.
A. Only I is sufficient.
B. Only I and II are sufficient.
C. III and one from I or II are sufficient.
D. II and one from I or III are sufficient.
A question and three statements are numbered (I), (II) and (III). You have to decide whether the facts given in the statements are sufficient to answer the question given below.
Question: Five people A, B, C, D and E are sitting facing each other in a circle. E is seated between whom?
Statement:
I. The person sitting to the left of B and to the right of A is the same.
II. D is to the right of B.
III. A sits between E and C.
Choose the correct option.
A. Only I and II are sufficient.
B. Only I and III are sufficient.
C. Only III is sufficient.
D. Facts are insufficient.
