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Question

In a group, there are six girls P, Q, R, S, T and U. Each of them drives one car among C1, C2, C3, C4, C5 and C6. None of them drives the same car. P doesn’t drive an even-numbered car. S drives C4. Car C5 is driven by either R or U. Q drives C1. Car C2 is not driven by T. Which cars are driven by P and T respectively?

The correct answer is

C3, C6

Solving the Girls and Cars Logic Puzzle

This puzzle involves matching six girls to six different cars based on a set of clues. We need to figure out which car each girl drives to determine the cars driven by P and T.

Analyzing the Clues

Let's list the girls and cars:

  • Girls: P, Q, R, S, T, U
  • Cars: C1, C2, C3, C4, C5, C6

We are given the following specific clues:

  • P doesn’t drive an even-numbered car (C2, C4, C6).
  • S drives C4.
  • Car C5 is driven by either R or U.
  • Q drives C1.
  • Car C2 is not driven by T.

Step-by-Step Deduction

Let's use the confirmed assignments and constraints to deduce the others.

Step 1: Apply direct assignments.

  • S drives C4.
  • Q drives C1.

Currently assigned:

GirlCar
QC1
SC4

Step 2: Use constraints for P.

  • P doesn’t drive an even-numbered car (C2, C4, C6).
  • Cars C1 and C4 are already assigned to Q and S, respectively.
  • The odd-numbered cars are C1, C3, C5.
  • P cannot drive C1 (driven by Q).
  • P cannot drive C5 (driven by R or U).
  • This leaves C3 as the only possible odd-numbered car for P that is not already assigned or restricted.
  • Therefore, P must drive C3.

Currently assigned:

GirlCar
PC3
QC1
SC4

Step 3: Determine the remaining possibilities.

  • Girls remaining: R, T, U
  • Cars remaining: C2, C5, C6

Step 4: Use the constraints for T.

  • Car C2 is not driven by T.
  • T must drive one of the remaining cars: C2, C5, C6.
  • T cannot drive C2.
  • Car C5 is driven by R or U. This means T cannot drive C5 (as T is a different girl from R and U).
  • The only remaining car T can drive is C6.
  • Therefore, T must drive C6.

Step 5: Final assignments (for P and T).

From our deductions:

  • P drives C3.
  • T drives C6.

The question asks for the cars driven by P and T respectively.

Conclusion

Based on the clues and logical deduction, P drives C3 and T drives C6.

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Important Questions from Double Lineup

  1. A, B, C, D, E, F and G are seven coaches. Each one among them is a coach of a different game. The games are Hockey, Cricket, Badminton, Tennis, Volleyball, Basketball and Football (not necessarily in the same order). Each of them trains on one of the seven days of the week from Monday to Sunday (not necessarily in the same order). No two coaches train on the same day of the week. C trains Badminton on Friday. B teaches Volleyball on the previous day of the day on which a coach trains Hockey. G trains on Sunday but does not train Cricket or Tennis. D trains Basketball on the previous day of the day on which F trains. A trains Football on Tuesday. E does not train Tennis. On which day does F train?

  2. Five students A, B, C, D and E attend five different schools S1, S2, S3, S4 and S5 (not necessarily in the same order). Each also likes a different subject namely D1, D2, D3, D4 and D5 (not necessarily in the same order). A goes to S5 but does not like D3. C likes D4. The one who goes to S1 likes D5. D goes to S3. E does not like D5. The one who goes to S2 likes D1.

    Which of the following statement is correct?

    I. B likes D5.

    II. C goes to S4.

  3. P, Q, R, S, T, V and W are seven members of the family. There are three female members. Each of them has a difference profession-­Lawyer, Chartered Accountant (CA), Engineer, Teacher, Doctor, Architect and Pharmacist. No Lady is either a pharmacist or a chartered Accountant. Each of them has a different monthly income. The chartered accountant earns the most. S, the engineer, earns less than V, the doctor. R, the teacher, earns more than P and less than S. W’s wife earns the least. T is an unmarried lady Lawyer and she earns less than P and more than only Q. The pharmacist’s income is not the lowest

    Who earns the least?

  4. Which colour does the Teacher like?

    A. Blue

    B. Brown

    C. Purple

    D. Green

  5. Who is the Principal?

    A. Daisy

    B. Andy

    C. Mary

    D. Lily

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