English and Logical Reasoning Prep Guide
- Exam
- English and Logical Reasoning Prep Guide
- Subject
- Logical Reasoning
- Chapter
- Data Sufficiency
English and Logical Reasoning Prep Guide · Logical Reasoning · Data Sufficiency
Directions: Each of the questions below consists of a question and...
Directions: Each of the questions below consists of a question and two or more statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
There are five tea manufacturing companies namely A, B, C, D and E.
I.& The production of Company B is more than that of Company A but not more than that of company E.
II.& Production of Company C is more than the production Company& B but not as much as that of company D.
III.& Production of E is not as much as the production of company D.
Which of these statements is/are sufficient to answer the question that production of which of the following companies is the highest?
Options
- AStatement (I) and Statement (II) together are sufficient.
- BAny two statements together are sufficient.
- CEither statement (I) and statement (II) together or statement (III) are statement
- DAll the statement (I), statement (II) and statement (III) together are sufficient.
Correct answer
D.
All the statement (I), statement (II) and statement (III) together are sufficient.
Step-by-step solution
Statement 1: The production of Company B is more than that of Company A but not more than that of company E.
Inference: E > B > A
Statements 2: Production of Company C is more than the production Company B but not as much as that of company D.
Inference:& D > C > B
Statement III: Production of E is not as much as the production of company D.
Inference:& D > E
Taking statements I and II together, we get that there are three possibilities, as show below:
Possibility 1: E > D > C > B > A;&
Possibility 2: D > C > E > B > A;
Possibility 3: D > E > C > B > A
Taking all three statements we get that there are two possibilities, as show below
Possibility 1: D > C > E > B > A
Possibility 2: D > E > C > B > A
Here we get that D’s production is highest.
Hence, all three statement are sufficient to the answer the question. So the correct answer would be option D.
Inference: E > B > A
Statements 2: Production of Company C is more than the production Company B but not as much as that of company D.
Inference:& D > C > B
Statement III: Production of E is not as much as the production of company D.
Inference:& D > E
Taking statements I and II together, we get that there are three possibilities, as show below:
Possibility 1: E > D > C > B > A;&
Possibility 2: D > C > E > B > A;
Possibility 3: D > E > C > B > A
Taking all three statements we get that there are two possibilities, as show below
Possibility 1: D > C > E > B > A
Possibility 2: D > E > C > B > A
Here we get that D’s production is highest.
Hence, all three statement are sufficient to the answer the question. So the correct answer would be option D.