Reasoning

Matrix Puzzle: Practice Questions with Answers

11 practice questions on Matrix Puzzle, with answers; most also have an explanation or a worked solution. Try each one before you open its answer.

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1. Q.1

   Using the same puzzle, which profession is paired with Jaipur?

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   Answer: Banker

   Solution:

   1. Jaipur belongs to S.
   2. S is the Banker.

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2. Q.2

   Using the same puzzle, what is R’s profession?

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   Answer: Teacher

   Solution:

   1. The four professions are Doctor, Engineer, Teacher and Banker. P is the Doctor and Q is the Engineer, leaving Teacher and Banker for R and S.
   2. The Teacher does not live in Jaipur, and S lives in Jaipur — so S cannot be the Teacher, which makes S the Banker.
   3. That leaves Teacher for R.

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3. Q.3

   Using the same puzzle, how many people live in a city other than Delhi or Pune?

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   Answer: 2

   Solution:

   1. Delhi is P’s city and Pune is R’s. The remaining cities, Mumbai and Jaipur, belong to Q and S — two people.

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4. Q.4

   Using the same puzzle, which city does S live in?

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   Answer: Jaipur

   Solution:

   1. The four cities are Delhi, Mumbai, Pune and Jaipur. Delhi is P’s and Pune is R’s.
   2. S does not live in Delhi or Mumbai, so of the two cities left for Q and S (Mumbai and Jaipur), S must take Jaipur.
   3. That leaves Mumbai for Q.

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5. Q.5

   Using the same puzzle, which profession is paired with Mumbai?

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   Answer: Engineer

   Solution:

   1. Mumbai belongs to Q.
   2. Q is the Engineer.

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6. Q.6

   Four people — P, Q, R and S — each live in a different city (Delhi, Mumbai, Pune or Jaipur) and have a different profession (Doctor, Engineer, Teacher or Banker). The Doctor lives in Delhi. Q is the Engineer. R lives in Pune. S is not the Doctor and does not live in Delhi or Mumbai. The Teacher does not live in Jaipur. Who is the Doctor, and which city do they live in?

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   Answer: P, Delhi

   Solution:

   1. Q is the Engineer (given directly), and R lives in Pune (given directly) — so R is not the Doctor, since the Doctor lives in Delhi.
   2. S is not the Doctor (given directly). That leaves only P who can be the Doctor.
   3. Since the Doctor lives in Delhi and P is the Doctor, P lives in Delhi.

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7. Q.7

   Using the same puzzle, which city is paired with the Engineer?

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   Answer: Mumbai

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8. Q.8

   Using the same puzzle, which city is paired with the Teacher?

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   Answer: Pune

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9. Q.9

   Using the same puzzle, who lives in Jaipur?

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   Answer: S

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10. Q.10

    Using the same puzzle, what is P’s profession?

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    Answer: Doctor

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11. Q.11

    Using the same puzzle, who is the Banker?

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    Answer: S

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