NIMCET 2022
Deepak, Rahul, Manoj and Vinod are brothers. Who is the heaviest?I.Rahul is heavier than Deepak and Vinod, but lighter than Manoj.II.Deepak is lighter than Rahul and Manoj, but heavier than Vinod.
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option C — Statement I alone is sufficient, but statement II alone is not sufficient
Detailed Solution
From I: Manoj > Rahul > Deepak and Vinod. Manoj is the heaviest, so I alone is sufficient.
From II: Rahul and Manoj > Deepak > Vinod, but Rahul and Manoj are not compared, so II alone is not sufficient.
✓ Check
Under II both Manoj > Rahul and Rahul > Manoj fit, giving two different answers.⚠ Common trap
(A) 'Either I or II' assumes II also fixes the top, but it leaves Rahul and Manoj unordered.Quick tip
Check each statement alone: I puts Manoj above everyone; II never compares Rahul with Manoj
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Ask a doubtMore Data Sufficiency Questions
View all ›- Q1.Directions: The question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
- Q2.Directions: The question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
- Q3.Directions: The question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
- Q4.Directions: The question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
- Q5.Directions: The question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.
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Data Sufficiency — Preparation
This question tests your understanding of Data Sufficiency, a key topic in the Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Data sufficiency questions give a question and two (sometimes three) statements of information. Rather than finding the answer, you must decide whether the statements give enough information to answer it: statement I alone, statement II alone, either one alone, both together, or neither even together. The questions can be based on reasoning topics such as blood relations, ranking and coding, or on quantitative topics. Check each statement on its own first, then together only if neither works alone. You don't need to calculate the final answer. You only need to know whether a unique answer can be found. A common mistake is to carry information from one statement into the other when checking them separately. Another is to assume that "more information" always means "sufficient". If the statements leave two possible answers, the data is not sufficient. Practise the data sufficiency questions below. Each solution checks every statement individually and together.