Seven different boxes namely J, K, L, M, N, O, P having different number of articles in it, placed one above the other. Number of articles… — Answer & Discussion

Seven different boxes namely J, K, L, M, N, O, P having different number of articles in it, placed one above the other. Number of articles present are 2, 6, 9, 11, 15, 16 and 20 but not in the same order.
There are two boxes between M and the box in which 11 articles are present. There are two boxes between J and the one having 9 articles. There are only three boxes between N and the box having 9 articles. M lies below J. O is immediately below the box having 15 articles. J doesn’t have 15 articles. There is only one box between K and P. There are two boxes between the boxes having 15 and 6 articles. M lie above the box having 11 articles. The difference between number of articles in box M and the one just above M is greater than 11. The number of articles in the box which is just above P is less than the number of articles in P. K does not have 6 number of articles. L is not the bottom most box. N does not second position.
Which of the following statement is definitely false?
I. Box L has 15 article.
II. Box J contain articles which is a prime number.
III. Box P contain 9 article.

AOnly I
BOnly II
COnly III
DBoth I and II

Answer not set

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Discussion 1

CCommunity27 May 2019

Box Name: J, K, L, M, N, O, P

Number of Article: 2, 6, 9, 11, 15, 16 and 20

1) There are two boxes between M and the box in which 11 articles are present.

2) M lie above the box having 11 articles.

3) There are two boxes between J and the one having 9 articles.

4) There are only three boxes between N and the box having 9 articles.

5) M lies below J.N does not second position.

Case - 1

Case – 2

Box Name

Number of Article

Box Name

Number of Article

N

N

J

J

M

M

9

9

11

11

6) O is immediately below the box having 15 articles.

7) J doesn’t have 15 articles.

Case – 1.1

Case – 1.2

Case – 2.1

Case – 2.2

Box Name

Number of Article

Box Name

Number of Article

Box Name

Number of Article

Box Name

Number of Article

N

N

N

N

J

J

J

J

M

15

M

O

15

M

15

M

9

O

9

O

9

9

11

11

15

11

O

11

8) There are two boxes between the boxes having 15 and 6 articles.

(Here case 1.1 gets eliminated)

<td styl

Case – 1.2

Case – 2.1

Case – 2.2

Box Name

Number of Article

Box Name

Number of Article

Box Name

Number of Article

N

6

N

6

N

J

J

J

M

6