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Question

Each of the six persons A, B, C, D, E and F like one of six different colours, viz. red, green, blue, black, orange and white, but not necessarily in that order. Each of them also own a home in one of six different cities, viz. Delhi, Mumbai, Hyderabad, Chennai, Bangalore and Kolkata, but not necessarily in the same order.

A has a home in Delhi but he does not like orange and white colours. B does not like blue and black colours and does not live in Mumbai. F has a home in Bangalore and likes red colour. D has a home in Hyderabad and likes either blue or black colour. C likes green colour and lives in Chennai. E likes orange colour.

Who lives in Kolkata and likes white colour?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
B

Analyzing the People, Colours, and Cities Logic Puzzle

This problem involves matching six individuals (A, B, C, D, E, F) to six unique colours and six unique cities using the provided clues. The goal is to determine which person resides in Kolkata and likes the colour white.

Step 1: Record Initial Clues

We list the direct facts given in the problem:

  • A: Lives in Delhi. Dislikes Orange and White colours.
  • B: Dislikes Blue and Black colours. Does not live in Mumbai.
  • F: Lives in Bangalore and likes Red colour.
  • D: Lives in Hyderabad and likes either Blue or Black colour.
  • C: Likes Green colour and lives in Chennai.
  • E: Likes Orange colour.

Step 2: Deduce Colour Assignments

We can deduce the colours step-by-step:

  • Colours directly assigned: Red (F), Green (C), Orange (E).
  • Colours remaining for A, B, D: Blue, Black, White.
  • A dislikes Orange and White. Since Red, Green, and Orange are taken, A's colour must be either Blue or Black.
  • D likes either Blue or Black.
  • As each person has a unique colour, A and D must be the ones who like Blue and Black (one takes Blue, the other Black).
  • The only colour left is White.
  • Since A, D, F, C, and E cannot like White, B must be the person who likes White.

Step 3: Deduce City Assignments

Now, we determine the cities:

  • Cities directly assigned: Delhi (A), Bangalore (F), Chennai (C), Hyderabad (D).
  • Cities remaining for B and E: Mumbai, Kolkata.
  • We know B does not live in Mumbai.
  • Therefore, B must live in Kolkata.
  • This leaves Mumbai as the city where E lives.

Step 4: Consolidate Findings in a Table

The final assignments are summarized below:

Person City Colour
A Delhi Blue / Black
B Kolkata White
C Chennai Green
D Hyderabad Black / Blue
E Mumbai Orange
F Bangalore Red

Step 5: Answer the Question

Based on the completed deductions, the person who lives in Kolkata and likes the colour white is B.

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