Question

The area of flat Z of 2^nd floor is ____ (in metre sq.)

• A. 50
• B. 60
• C. 45
• D. 55
• A. 95
• B. 90
• C. 105
• D. 110
• A. 225
• B. 195
• C. 210
• D. 200
• A. Flat W of 1^st and 2^nd floor.
• B. Flat Z of 2^nd and 3^rd floor.
• C. Flat Y of 3^rd and 4^th floor.
• D. Flat X of 3^rd and 4^th floor.
• A. Flat X, 3^rd floor
• B. Flat Z, 1^st floor
• C. Flat X, 1^st floor
• D. Flat Z, 3^rd floor

Answer 1

The Correct Option is D

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.
Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.
Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

The area of flat Z of 2^nd floor is 55 metre sq.
So, the correct option is (D) : 55.

Answer 2

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.
Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.
Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

The sum of area of flat W of 2^nd floor and flat Y of 4^th floor is (45 + 50) = 95 metre sq.
So, the correct option is (A) : 95.

Answer 3

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.
Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.
Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

The sum of area of flat Y of all the floors is (50 + 50 + 50 + 60) = 210 metre sq.
So, the correct option is (C) : 210.

Answer 4

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.

Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.

Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.

Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.

Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

The sum of area of flat Y of all the floors is (50 + 50 + 50 + 60) = 210 metre sq.
So, the correct option is (C) : 210.

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.

Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.
Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

Flat X of 3^rd and 4^th floor have different area.
So, the correct option is (D) : Flat X of 3^rd and 4^th floor.

Answer 5

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.

Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.

Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.

Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.

Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

The sum of area of flat Y of all the floors is (50 + 50 + 50 + 60) = 210 metre sq.
So, the correct option is (C) : 210.

Start with considering area of flat X and flat Z of the 3^rd floor.
1. The sum of area of flat X and flat Z of the 3^rd floor is less than 105 metre sq.
2. Flat W of 1^st floor and flat X of 3^rd floor have same area.
3. The difference between area of flat W and flat X of the 1^st floor is 5 metre sq.
From clue 1, we get the area of flat X of 3^rd floor is 45 or 50 or 55 metre sq.
The area of flat Z of 3^rd floor is 55 or 50 or 45 metre sq.
From clue 2, we get the area of flat W of 1^st floor is 45 or 50 or 55 metre sq.
From clue 3, we get the area of flat X of 1^st floor is 50 or 45 or 55 or 60 metre sq.

Case I : When area of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case I(a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 55 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		55
2
1	45	50

Case I(b) : When area of flat X of 3^rd floor is 55 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		55		45
2
1	55	50/60

Case II : When are of flat X and flat Z of 3^rd floor is either 45 or 55 metre sq.
Case II (a) : When area of flat X of 3^rd floor is 45 metre sq. and area of flat Z of 3^rd floor is 50 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		45		50
2
1	45	50

Case II(b) : When area of flat X of 3^rd floor is 50 metre sq. and area of flat Z of 3^rd floor is 45 metre square.

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4
3		50		45
2
1	50	45/55

4. The sum of area of the 1^st and the 4^th floor of Flat Y is 110m.
5. Flat Z of 1^st floor and flat X of 4^th floor are of same area.
6. The sum of area of flat X of all the floors is 210 metre sq.
From clue 4, we get flat Y of 1^st or 4^th floor is either 50 or 60 metre square.
From clue 5, we get flat Z of 1^st floor and flat X of 4^th floor is either 55 or 45 metre sq.
From clue 6, we get flat X of 2^nd floor is either 60 or 50 metre sq.

Case I(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		55
2		60
1	45	50	60	55

Case I(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		45	50/60
3		55		45
2		60/50
1	55	50/60	60/50	45

Case II(a) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55	50
3		45		50
2		60
1	45	50	60	55

Case II(b) :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4		55/45	50
3		50		45
2		60
1	50	45/55	60	55/45

7. The difference between area of flat W and flat X of the 2^nd floor is 15 metre sq.
8. The area of flat Z of 4^th floor is more than the area of flat W of 4^th floor.
9. The sum of area of flat W of all the floors is 195 metre sq.
10. The sum area of flat Z of all the floors is 225 metre sq.
From clue 7, we get the area of flat W of 2^nd floor is 45 metre sq.
From clue 8, we get the area of flat W of 4^th floor is 45 or 55 metre sq., the are of flat Z of 4^th floor is 60 metre sq.
From clue 9, we reject Case I(b), The area of flat W of 3^rd floor is either 60 or 45 metre sq.
From clue 10, we reject Case II(a) and Case II(b) as we cannot place the area of flat Z of all the floors 225 metre sq.
The final arrangement is as follows :

Flat / Floors	Flat W (Area)(In metre sq.)	Flat X (Area)(In metre sq.)	Flat Y (Area)(In metre sq.)	Flat Z (Area)(In metre sq.)
4	45	55	50	60
3	60	45	50	55
2	45	60	50	55
1	45	50	60	55

The area of flat W of 4^th floor is equal to the area of flat X of 3^rd floor.
So, the correct option is (A) : Flat X, 3^rd floor