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Question

Radha wears five different coloured clothes, red, green, yellow, purple and brown, on five different days of a week, from Monday to Friday. She wears red clothes on
Wednesday. She does not wear green and brown clothes on Monday or Friday. She wears green clothes on the next day of wearing yellow clothes. On which day does she
wear brown clothes?

This question was previously asked in
SSC CGL 2020 (Tier-2) Statistics Previous Year Paper 3 (28-Jan-2022)
The correct answer is Thursday

Solving the Radha's Clothes Logic Puzzle

This problem is a classic logic puzzle involving matching items (clothes colours) to categories (days of the week) based on a set of clues. We need to determine which colour of clothes Radha wears on which day from Monday to Friday.

Understanding the Given Information

  • Radha wears five different colours: red, green, yellow, purple, and brown.
  • She wears these clothes on five different days: Monday, Tuesday, Wednesday, Thursday, and Friday.
  • Each day has exactly one colour, and each colour is worn on exactly one day.

Analyzing the Clues

Let's break down the information provided in the clues:

  1. Clue 1: She wears red clothes on Wednesday.
    • This gives us a fixed point to start with.
  2. Clue 2: She does not wear green and brown clothes on Monday or Friday.
    • This means green and brown must be worn on Tuesday, Wednesday, or Thursday.
    • Since red is on Wednesday (from Clue 1), green and brown must be worn on either Tuesday or Thursday.
  3. Clue 3: She wears green clothes on the next day of wearing yellow clothes.
    • This tells us that yellow and green are worn on consecutive days, with green immediately following yellow.

Step-by-Step Deduction

Let's use the clues to fill in the days:

Step 1: Place Red.

From Clue 1, we know:

  • Wednesday: Red

Step 2: Consider Green and Brown based on Clue 2.

Green and Brown cannot be on Monday or Friday. They must be on Tuesday or Thursday (since Wednesday is Red).

Step 3: Use Clue 3 (Yellow followed by Green).

The sequence YellowGreen must happen on consecutive days.

Let's look at the possible consecutive days from Monday to Friday:

  • Monday → Tuesday
  • Tuesday → Wednesday
  • Wednesday → Thursday
  • Thursday → Friday

Now, combine this with what we know:

  • Wednesday is Red. So, the sequences Tuesday → Wednesday (ending in Green) and Wednesday → Thursday (starting with Yellow) are not possible for the YellowGreen pair.
  • Green cannot be on Friday (Clue 2). So, the sequence Thursday → Friday (ending in Green) is not possible.

The only remaining possible consecutive days for the YellowGreen sequence is MondayTuesday.

  • If Green is on Tuesday, then Yellow must be on Monday (satisfying Clue 3).
  • This also satisfies Clue 2 for Green (Green is not on Monday or Friday).

So, we have:

  • Monday: Yellow
  • Tuesday: Green
  • Wednesday: Red

Step 4: Place Brown and Purple.

The remaining days are Thursday and Friday.

The remaining colours are Brown and Purple.

From Clue 2, Brown cannot be on Friday.

Therefore, Brown must be on Thursday.

This leaves Purple for the last remaining day, Friday.

Our complete schedule is:

Day Colour
Monday Yellow
Tuesday Green
Wednesday Red
Thursday Brown
Friday Purple

Let's quickly check if this arrangement satisfies all clues:

  • Red on Wednesday? Yes.
  • Not green and brown on Monday or Friday? Yes, Green is on Tuesday, Brown is on Thursday.
  • Green on the next day of yellow? Yes, Yellow is on Monday, Green is on Tuesday.

All clues are satisfied.

Conclusion

Based on our step-by-step deduction from the clues, Radha wears brown clothes on Thursday.

Revision Table: Radha's Clothes Puzzle

Clue Deduction Resulting Placement
Red on Wednesday. Fixes Red's day. Wednesday: Red
Not Green/Brown on Mon/Fri. Green & Brown ∈ {Tuesday, Thursday}. Possible days for Green/Brown narrowed down.
Green after Yellow. Yellow and Green are consecutive (Yellow → Green). Combined with other clues, this forces Yellow on Monday and Green on Tuesday. Monday: Yellow, Tuesday: Green
Remaining Days/Colors & Not Brown on Friday. Days left: Thu, Fri. Colors left: Brown, Purple. Brown cannot be on Friday. Thursday: Brown, Friday: Purple

Additional Information: Logic Puzzles and Reasoning

Logic puzzles like this one are great for developing reasoning and deduction skills. They often involve a set of conditions or clues that you need to use to find a unique solution. Here are some common types of logic puzzles:

  • Grid Puzzles: These often involve multiple categories (like people, items, colours, days) and you use a grid to mark off impossible combinations based on the clues until only one possibility remains for each match.
  • Sequence Puzzles: These involve arranging items in a specific order based on clues about their relative positions (like "A is next to B", "C is third").
  • Truth-Teller/Liar Puzzles: These involve individuals who either always tell the truth or always lie, and you must use their statements to deduce information.

The puzzle about Radha's clothes is a type of arrangement puzzle or a simple grid-based logic puzzle where you match two sets of items (days and colours) based on given relationships.

Solving these puzzles involves careful reading, breaking down information, identifying fixed points, using process of elimination, and combining clues to make deductions.

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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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