Multiple Choice Questions on Each question is followed by two statements I and II Mark the answer 1 If the question can be answer........... for Civil Services Exam (CSAT) Preparation

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Multiple Choice Questions

Each question is followed by two statements I and II Mark the answer 1 If the question can be answer...........

Math and Mental Ability Data Sufficiency
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    Each question is followed by two statements, I and II. Mark the answer:

    1.If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

    2.If the question can be answered by using either statement alone.

    3.If the question can be answered by using both statements together, but cannot be answered using either statement alone.

    4.If the question cannot be answered even by using both statements together.

    Three are 11 terms in a geometric progression. The middle term is 10. Find the seventh term.

    I. The smallest term is 2.

    II.The largest term is 20.

    1

    Incorrect Answer

    2

    Incorrect Answer

    3

    Incorrect Answer

    4

    Correct Answer
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    Explanation:

    - We need to find the seventh term of a geometric progression with 11 terms, where the middle term (sixth term) is 10.

    - Statement I: The smallest term (first term) is 2.

    - If we use this, we can't directly determine the seventh term as we lack the common ratio.

    - Statement II: The largest term (eleventh term) is 20.

    - Like statement I, knowing just the largest term doesn't allow us to find the seventh term as we still don’t know the common ratio explicitly.

    - Combining both statements: We have the first and last terms and the middle term (10). This may imply some information about the common ratio's nature but isn't enough to calculate it precisely without additional assumptions.

    Explanation on Options:

    - Option 1: Incorrect, as neither statement alone is sufficient.

    - Option 2: Incorrect, as neither statement alone suffices.

    - Option 3: Incorrect, as even combined, they don't allow finding the seventh term.

    - Option 4: Correct, since even combined, statements aren't sufficient to find the seventh term.

    Answer: Option 4 - 4

    By: Sandeep Dubey
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