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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

Analyzing the Puzzle Scenario

We are given a logic puzzle involving three people: P, Q, and R. We know the following:

  • P is looking at Q.
  • Q is looking at R.
  • P is married.
  • R is not married (unmarried).
  • Q's marital status is unknown.

The goal is to find the number of pairs where a married person is looking at an unmarried person.

Determining Married-to-Unmarried Pairs

Let's represent Married as 'M' and Unmarried as 'U'.

We have two specific looking relationships:

  • P (M) looks at Q (?): P is definitely married. Q's status is the variable.
  • Q (?) looks at R (U): R is definitely unmarried. Q's status is the variable.

We need to consider the two possible marital statuses for Q:

Case 1: Q is Married (M)

  • P (M) looks at Q (M): This is a Married looking at Married pair. Does not count.
  • Q (M) looks at R (U): This is a Married looking at Unmarried pair. Counts as 1.

In this case, there is exactly 1 pair where a married person looks at an unmarried person.

Case 2: Q is Unmarried (U)

  • P (M) looks at Q (U): This is a Married looking at Unmarried pair. Counts as 1.
  • Q (U) looks at R (U): This is an Unmarried looking at Unmarried pair. Does not count.

In this case, there is also exactly 1 pair where a married person looks at an unmarried person.

Conclusion

In both possible scenarios for Q's marital status, the number of pairs where a married person is looking at an unmarried person remains consistent.

Therefore, the total number of such pairs is 1.

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Important Questions from Logical Deduction

  1. Based only on the conversation below, identify the logically correct inference:
    “Even if I had known that you were in the hospital, I would not have gone there to see you", Ramya told Josephine.
  2. In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of P, Q, and R ?
     

  3. Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk.
    Column-IColumn-II
    P.This house is in a mess.1.Alright, I won't bring it up during our conversations.
    Q.I am not happy with the marks given to me.2.Well, you can easily look it up.
    R.Politics is a subject I avoid talking about.3.No problem, let me clear it up for you.
    S.I don't know what this word means.4.Don't worry, I will take it up with your teacher.

    Identify the option that has the correct match between Column-I and Column-II.
  4. In the following truth table, what does X stand for?
    PQX
    111
    100
    010
    001
  5. A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K).

    Which one of the following options displays the color codes that are consistent with the color model?

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