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.
Both statements I and II together are NOT sufficient to answer the question.
To determine who among the five people (A, B, C, D, and E) is the tallest, we need to analyze the information given in the two statements and evaluate their sufficiency:
- Statement I: "A is taller than B. B is taller than C."
- From this, we can deduce the order: \(A > B > C\).
- However, this statement gives no information about D and E, so we cannot determine the tallest among all five.
- Statement II: "D is taller than E."
- This simply gives us the order: \(D > E\).
- Like statement I, this statement does not provide information about A, B, and C. Thus, it cannot help us in determining the tallest among the five individuals.
Both statements individually fail to provide information about some of the people involved, and hence neither statement alone is sufficient to answer the question. Even when combined, the statements only partially order the group as follows:
- \(A > B > C\) from Statement I
- \(D > E\) from Statement II
Combining these, we do not have any information connecting groups A, B, C with D, E, making it impossible to determine who is the tallest overall.
Therefore, the correct answer is: "Both statements I and II together are NOT sufficient to answer the question."
Similar Questions
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Question:
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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.
