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Question

P looks at Q while Q looks at R. P is married, R is not. The number of pairs of people in which a married person is looking at an unmarried person is

The correct answer is

1

Married Unmarried Pairs in Relationships

This problem asks us to determine the number of pairs of people where a married person is looking at an unmarried person, based on the given relationships and marital statuses.

Information Provided in the Question

We are given the following facts about individuals P, Q, and R:

  • Person P looks at Person Q.
  • Person Q looks at Person R.
  • Person P is married.
  • Person R is not married, meaning R is unmarried.

Our objective is to count the pairs \((X, Y)\) such that X is married and X is looking at Y, where Y is unmarried.

Marital Status Determination

Based on the provided information, we know the definitive marital statuses for P and R:

  • P: Married
  • R: Unmarried

The marital status of Person Q is not explicitly stated. To solve the problem completely, we must consider both possibilities for Q's status: whether Q is married or Q is unmarried. The final answer should hold true regardless of Q's status.

Looking Pair Analysis

We need to examine the two specified "looking" relationships to see if they fit the criteria (married person looking at an unmarried person).

P Looks at Q Pair Analysis

  • P's status: Married (known)
  • Q's status: Unknown

For the pair (P, Q) to be counted, P must be married (which is true) and Q must be unmarried. So, this pair qualifies only if Q is unmarried.

Q Looks at R Pair Analysis

  • Q's status: Unknown
  • R's status: Unmarried (known)

For the pair (Q, R) to be counted, Q must be married and R must be unmarried (which is true). So, this pair qualifies only if Q is married.

Q's Marital Status Scenarios

Let's evaluate the total number of qualifying pairs under each possible scenario for Q's marital status:

Scenario for Q Pair (P looks at Q) Pair (Q looks at R) Total Qualifying Pairs
Scenario A: Q is Married

P (Married) looks at Q (Married)

Does NOT qualify (Married looking at Married)

Q (Married) looks at R (Unmarried)

QUALIFIES (Married looking at Unmarried)

1
Scenario B: Q is Unmarried

P (Married) looks at Q (Unmarried)

QUALIFIES (Married looking at Unmarried)

Q (Unmarried) looks at R (Unmarried)

Does NOT qualify (Unmarried looking at Unmarried)

1

Qualifying Pairs Conclusion

The analysis above clearly shows that regardless of the marital status of Q, the number of pairs where a married person is looking at an unmarried person remains constant.

  • If Q is married, the only pair that fits the criteria is (Q looks at R).
  • If Q is unmarried, the only pair that fits the criteria is (P looks at Q).

In both logical scenarios, we consistently identify exactly 1 such qualifying pair.

Therefore, the number of pairs of people in which a married person is looking at an unmarried person is 1.

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Important Questions from Critical Reasoning

  1. Directions: A statement is given followed by two inferences I and II. You have to consider the statement to be true even if it seems to be at variance with commonly known facts. You have to decide which of the given inferences, if any, follow from the given statement.

    Statement: Many students are addicted to mobile games and this leads to poor academic performance.

    Inference:

    I. Many Students are not paying attention to studies due to mobile games.

    II. It is only because of mobile games that students fail in the examination. 

  2. 'Little knowledge is a dangerous thing' is a decision based on:

  3. It is better to spend the leftovers after saving. Financial discipline and self-control can make you rich. Saving money after spending is not a good habit. Which among the following statements is true as per the statement?

    A. If you spend first then you will be spendy.

    B. If you save before spending, you will become rich.

    C. If you spend before saving, you will be poor.

    D. Saving by borrowing is a bad habit.

  4. Which of the following is the assumption for the claim that 'Pleasure is desirable'?

  5. Read the given statements carefully and answer the questions.

    Fear of danger is more dangerous than danger itself. Risk is directly proportional= to danger

    Which of the following are true according to the given statements?

    A. Fear is worse than any fearful threat.

    B. There is a trade-off between risk and danger.

    C. There should be fear of danger.

    D. There is no need to take risks to overcome any danger.

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