Directions: The question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.Question: Is the integer even?I. is even.II. is odd.
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option D — Each statement alone is sufficient
Detailed Solution
If is even, must be even (an odd number squared is odd). I answers 'Yes'.
If is odd, must be odd (3 times an even number is even). II answers 'No'.
✓ Check
A definite 'No' is still a complete answer, so II is sufficient too.⚠ Common trap
(A) Statement I alone is sufficient, but statement II alone is not sufficient — treats the 'No' from II as no answer.Quick tip
A definite NO is also a sufficient answer
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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.