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Question

Four friends A, B, C, D went to four different cities Indore, Noida, Gurugram and Nagpur for interviews in four different companies PP, QQ, RR and SS but not necessarily in the same order. 'A' was not invited by PP. 'B' did not go to Gurugram and was not invited by RR and PP. RR conducted its interview in Nagpur. 'C' went to Indore. 'A' did not go to Nagpur and was not invited by SS.
 

In which company, C's interview was scheduled?

The correct answer is
PP

Deduce C's Interview Company

This problem requires us to carefully analyze the given statements about four friends (A, B, C, D), their interview cities (Indore, Noida, Gurugram, Nagpur), and the companies they interviewed with (PP, QQ, RR, SS). We need to find out which company C interviewed with.

Analyzing the Clues

Let's break down the information provided:

  • Friends: A, B, C, D
  • Cities: Indore, Noida, Gurugram, Nagpur
  • Companies: PP, QQ, RR, SS
  • Constraint 1: 'A' was not invited by PP.
  • Constraint 2: 'B' did not go to Gurugram.
  • Constraint 3: 'B' was not invited by RR and PP.
  • Constraint 4: RR conducted its interview in Nagpur.
  • Constraint 5: 'C' went to Indore.
  • Constraint 6: 'A' did not go to Nagpur.
  • Constraint 7: 'A' was not invited by SS.

Step-by-Step Deduction

We can use a table to keep track of the possibilities and eliminate options based on the constraints.

Initial Setup

From Constraint 5, we know C went to Indore. From Constraint 4, we know RR conducted interviews in Nagpur.

Deductions for Company Assignments

  1. Consider Friend A:
    • A was not invited by PP (Constraint 1).
    • A was not invited by SS (Constraint 7).
    • RR conducted interviews in Nagpur (Constraint 4). A did not go to Nagpur (Constraint 6), therefore A did not interview with RR.
    • Since A was not invited by PP, SS, or RR, the only company left for A is QQ.
  2. Consider Friend B:
    • B was not invited by RR and PP (Constraint 3).
    • The remaining companies for B are QQ or SS.
    • Since A's company is QQ, and each friend interviewed with a different company, B's company cannot be QQ.
    • Therefore, B's company must be SS.
  3. Consider Friend C:
    • We know C went to Indore (Constraint 5).
    • The remaining companies are PP and RR.
    • RR conducted its interview in Nagpur (Constraint 4). Since C went to Indore, C could not have interviewed with RR.
    • Therefore, C's company must be PP.
  4. Consider Friend D:
    • The only remaining company is RR. So, D interviewed with RR.

Summary of Assignments

Let's summarize our findings:

Friend City Company
A (Noida or Gurugram) QQ
B (Noida or Nagpur) SS
C Indore PP
D Nagpur RR

Let's verify the city assignments:

  • RR is in Nagpur (Constraint 4). Since D interviewed with RR, D went to Nagpur.
  • C went to Indore (Constraint 5). C interviewed with PP. So, PP's interview was in Indore.
  • B did not go to Gurugram (Constraint 2). Since Nagpur is taken by D, B must have gone to Noida.
  • A did not go to Nagpur (Constraint 6). Since Noida is taken by B, A must have gone to Gurugram.

Final assignments fit all conditions.

Conclusion for C's Interview

Based on our step-by-step deduction, C's interview was scheduled with company PP.

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Important Questions from Puzzle (Notes)

  1. Four individuals - P, Q, R and S - are suspects in a theft case. They make the following statements :
    P says: "Q is guilty."
    Q says: "R is guilty."
    R says: "P is innocent."
    S says: "I am innocent"
    If it is known that exactly one of them is guilty, and only the guilty person lies (all innocent people tell the truth), then who is the guilty one?
  2. Who went to Nagpur?
  3. What is the sum of the digits of the number Q?
  4. What is the sum of A and Q if A is smaller than B?
  5. There are five men - A, B, C, D and E, six women P, Q, R, S, T and Z. A, B, and R are advocates. S, Q, P, D and C are doctors and the rest are teachers. A team has to be selected from these eleven persons subject to the following conditions:
    (I) A, P and Z have to be together.
    (II) B cannot go with D or R.
    (III) E and Q have to be together.
    (IV) C and T have to be together.
    (V) D and P cannot go together.
    (VI) C cannot go with Q.
    If the team formed consists of two male advocates, two lady doctors and one teacher, the members of the team can be:
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