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NWC Financial Scam Logic Puzzle

XAT 2010 · Decision Making · Hard · Logical Reasoning

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Passage / data set

Read the following passage and answer the questions that follow.

An audit unearthed a financial scam in NWC Corporation. One or more among the 9 financial accountants of NWC Corporation are suspected to have fudged the accounts. Following are the statements made by the nine suspects.

  • Shrinivas: Nagraj fudged the accounts
  • Datta: Shrinivas did not fudge the accounts
  • Nagraj: Datta is lying and I did not fudge accounts
  • Jose: Shrinivas is telling the truth
  • Samuel: Exactly three of the suspects are telling the truth
  • Ejaz: Datta is lying and Shrinivas fudged the accounts
  • Chaudhary: Datta fudged the accounts
  • Ganeshan: Datta is lying and Shrinivas is telling the truth
  • Panda: Samuel is lying

Question 1 of 2

If Samuel is telling the truth, which of the following statements is true?

  1. A.

    Chaudhury and Datta are telling the truth

  2. B.

    Nagraj fudged the accounts

  3. C.

    Chaudhury and Jose are telling the truth

  4. D.

    Shrinivas and Datta are telling the truth

  5. E.

    Nagraj fudged the account

Answer

A

Explanation

If Samuel is true, exactly 3 people tell the truth (including Samuel). Analysis shows that Datta and Chaudhary are two of the truth tellers along with Samuel.

Question 2 of 2

If Panda is lying, which of the following statements cannot be true?

  1. A.

    Nagraj, Ganeshan and Ejaz are all lying

  2. B.

    Datta fudged the accounts

  3. C.

    Shrinivas did not fudge the accounts

  4. D.

    Jose and Shrinivas are telling the truth

  5. E.

    Nagraj did not fudge the accounts

Answer

D

Explanation

If Panda is lying, Samuel is telling the truth. As established, Shrinivas is lying. Therefore, Jose (who says Shrinivas is telling the truth) and Shrinivas being truth-tellers is impossible.

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