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apoorva

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· 1 Months ago

Puzzle (Question:103630.0)

place of a can be at any place of the 4 position and the position of p is not clear

Question:

DIRECTIONS: These questions are based on the following information.


Sixteen children A through P are staying in sixteen blocks, which are having only east face, in four rows and four columns, The blocks are painted in one of the colours among red, blue, green and yellow such that in each column and in each row no two blocks are painted in the same colour.


To the right of a block means, to the south of the block. To the left a block means to the north of the block. Ahead means to the east. Behind means to the west. Adjacent block is defined as the block which is immediately right or immediately left or, immediately ahead or immediately behind to a particular block.


We Know the following additional information.


(i) Each of the corner blocks are painted in either green or yellow colour.


(ii) A, B, C, D, are staying in the four middle blocks and A’s block, which is painted in yellow, is adjacent to the blocks of B and C.  


(iii) P’s block which is painted in yellow, is to the immediate left of M’s block which is to the immediate ahead of D’s block.


(iv) The blocks of E and F are in the same columns, and G is staying in blue coloured block, which is the third block behind the block of I.


(v) J, K and L are staying in the same coloured blocks and J’s block is the second block behind the block of P.


(vi) H’s block is to the right of N’s block and L’s block is in front of the block of E. 

What is the colour of the block in which O is staying?

Options:
A) Red 
B) Blue 
C) Green
D) Yellow
E) Either Red or Blue
Solution:
Ans: (b) Let the blocks be in the following manner.


∵ Each of the corner blocks are either green or yellow.

∴ The middle blocks should be either green or yellow.

From (i) and (ii), A and D are staying in yellow coloured blocks and B and C are staying in green coloured blocks. From (iii) and above results, P, M and D are staying in blocks 1, 2, and 6 respectively.

∴ A is staying in block 11. B and C are staying in blocks 7 and 10 (In any order). Also, Blocks 4 and 13 are painted in green and block 16 is painted in yellow.

From (iv), I must be staying in blocks 3 and G must be staying in block 15:

∴ Block 3 is painted in red.

⇒ Block 2 is painted in blue and block 14 is painted in red. From (v) J, K and L must be staying in red coloured blocks. Also, J is staying in block 9.

∴  Blocks 5 and 12 are painted in blue and block J is painted in red.

From (vi), N and H are staying in blocks 13 and 16 respectively.

From (iv) and (vi), E, L and F are staying in blocks 4, 6, and 12 respectively.

∴ K is staying in block 14.

∴ O is staying in block 5.

∴ The final distributions will be as follows: 

P (y)

M (b)

I (r)

F (g)

O (b)

D (y)

B/C (g)

L (r)

J (r)

C/B (g)

A (y)

E (b)

N (g)

K (r)

G (b)

H (y)


O is staying in blue coloured block.

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