Study the given information and answer the following questions based on it. Twelve persons (A to L) are living in a twelve storeyed building such that the ground floor is numbered as floor 1, the floor immediately above it is floor 2 and do on till the topmost floor is numbered as floor 12 but not in the same order. L lives above H. D lives on an even numbered floor and immediately above I. The sum of the floor numbers of I and C is same as the sum of the floor numbers of A and E. F lives on an odd numbered floor. G is living on an even numbered floor above floor 7 but not on the top floor. Three persons are living between G and K. B lives on a floor immediately below K and four persons live between B and J. Both A and C lives on an odd numbered floor below J but not on a floor immediate next to it.
G is living an even numbered floor above floor 7 but on the top floor. Three persons are living between G and K.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
10
G
9
7
G
G
6
K
5
4
K
3
2
1
B lives on a floor immediately below K and four persons live between B and J. Both A and C lives on an odd numbered floor below J but not on a floor immediate next to it.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
B
10
G
9
8
G
G
7
6
J
K
5
B
4
K
3
A/C
B
2
1
A/C
Four persons cannot live between B and J in case 2 and case 3. Hence, both will be eliminated. Therefore-
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
9
8
G
G
7
6
J
J
5
4
K
3
A
C
2
1
C
A
D lives on an even numbered floor and immediately above I. The sum of the floor numbers of I and C is same as the sum of the floor numbers of A and E. F lives on an odd numbered floor.
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
D
D
9
I
I
8
G
G
7
E
6
J
J
5
F
4
3
A
C
2
1
C
A
Here, we see that sum of the floors of I and C is not equal to the sum of the floors of A and E in case 1.A. Hence, it will be eliminated. L lives above H.
Case 1
Floor
Name
12
K
11
B
10
D
9
I
8
G
7
E
6
J
5
F
4
L
3
A
2
H
1
C
L lives on floor 4. So, the correct option is (B): L.
G is living an even numbered floor above floor 7 but on the top floor. Three persons are living between G and K.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
10
G
9
7
G
G
6
K
5
4
K
3
2
1
B lives on a floor immediately below K and four persons live between B and J. Both A and C lives on an odd numbered floor below J but not on a floor immediate next to it.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
B
10
G
9
8
G
G
7
6
J
K
5
B
4
K
3
A/C
B
2
1
A/C
Four persons cannot live between B and J in case 2 and case 3. Hence, both will be eliminated. Therefore-
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
9
8
G
G
7
6
J
J
5
4
K
3
A
C
2
1
C
A
D lives on an even numbered floor and immediately above I. The sum of the floor numbers of I and C is same as the sum of the floor numbers of A and E. F lives on an odd numbered floor.
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
D
D
9
I
I
8
G
G
7
E
6
J
J
5
F
4
3
A
C
2
1
C
A
Here, we see that sum of the floors of I and C is not equal to the sum of the floors of A and E in case 1.A. Hence, it will be eliminated. L lives above H.
Case 1
Floor
Name
12
K
11
B
10
D
9
I
8
G
7
E
6
J
5
F
4
L
3
A
2
H
1
C
G lives on 8th floor. So, the correct option is (C): 8th
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Question: 3
What is the sum of the floor numbers of J, H and B?
G is living an even numbered floor above floor 7 but on the top floor. Three persons are living between G and K.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
10
G
9
7
G
G
6
K
5
4
K
3
2
1
B lives on a floor immediately below K and four persons live between B and J. Both A and C lives on an odd numbered floor below J but not on a floor immediate next to it.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
B
10
G
9
8
G
G
7
6
J
K
5
B
4
K
3
A/C
B
2
1
A/C
Four persons cannot live between B and J in case 2 and case 3. Hence, both will be eliminated. Therefore-
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
9
8
G
G
7
6
J
J
5
4
K
3
A
C
2
1
C
A
D lives on an even numbered floor and immediately above I. The sum of the floor numbers of I and C is same as the sum of the floor numbers of A and E. F lives on an odd numbered floor.
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
D
D
9
I
I
8
G
G
7
E
6
J
J
5
F
4
3
A
C
2
1
C
A
Here, we see that sum of the floors of I and C is not equal to the sum of the floors of A and E in case 1.A. Hence, it will be eliminated. L lives above H.
Case 1
Floor
Name
12
K
11
B
10
D
9
I
8
G
7
E
6
J
5
F
4
L
3
A
2
H
1
C
The sum of the floor numbers of J, H and B is 19. So, the correct option is (D): 19.
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Question: 4
Which of the following is true based on the given arrangement?
More than three persons live between the floors of I and L.
G lives immediately above I.
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The Correct Option isC
Solution and Explanation
G is living an even numbered floor above floor 7 but on the top floor. Three persons are living between G and K.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
10
G
9
7
G
G
6
K
5
4
K
3
2
1
B lives on a floor immediately below K and four persons live between B and J. Both A and C lives on an odd numbered floor below J but not on a floor immediate next to it.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
B
10
G
9
8
G
G
7
6
J
K
5
B
4
K
3
A/C
B
2
1
A/C
Four persons cannot live between B and J in case 2 and case 3. Hence, both will be eliminated. Therefore-
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
9
8
G
G
7
6
J
J
5
4
K
3
A
C
2
1
C
A
D lives on an even numbered floor and immediately above I. The sum of the floor numbers of I and C is same as the sum of the floor numbers of A and E. F lives on an odd numbered floor.
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
D
D
9
I
I
8
G
G
7
E
6
J
J
5
F
4
3
A
C
2
1
C
A
Here, we see that sum of the floors of I and C is not equal to the sum of the floors of A and E in case 1.A. Hence, it will be eliminated. L lives above H.
Case 1
Floor
Name
12
K
11
B
10
D
9
I
8
G
7
E
6
J
5
F
4
L
3
A
2
H
1
C
More than three persons live between the floors of I and L. So, the correct option is (C): More than three persons live between the floors of I and L.
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Question: 5
Four of the following are alike in a certain way and forms a group. Which does not belong to that group?
G is living an even numbered floor above floor 7 but on the top floor. Three persons are living between G and K.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
10
G
9
7
G
G
6
K
5
4
K
3
2
1
B lives on a floor immediately below K and four persons live between B and J. Both A and C lives on an odd numbered floor below J but not on a floor immediate next to it.
Case 1
Case 2
Case 3
Floor
Name
Name
Name
12
K
11
B
10
G
9
8
G
G
7
6
J
K
5
B
4
K
3
A/C
B
2
1
A/C
Four persons cannot live between B and J in case 2 and case 3. Hence, both will be eliminated. Therefore-
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
9
8
G
G
7
6
J
J
5
4
K
3
A
C
2
1
C
A
D lives on an even numbered floor and immediately above I. The sum of the floor numbers of I and C is same as the sum of the floor numbers of A and E. F lives on an odd numbered floor.
Case 1
Case 1.A
Floor
Name
Name
12
K
K
11
B
B
10
D
D
9
I
I
8
G
G
7
E
6
J
J
5
F
4
3
A
C
2
1
C
A
Here, we see that sum of the floors of I and C is not equal to the sum of the floors of A and E in case 1.A. Hence, it will be eliminated. L lives above H.
Case 1
Floor
Name
12
K
11
B
10
D
9
I
8
G
7
E
6
J
5
F
4
L
3
A
2
H
1
C
Except I , all others live on a floor which is even. So, the correct option is (B): I.