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Solutions
1) Arya works on fifth 5th floor & 3 girls work between her &Arti.
2)The age of the girl who works on the 7th floor is an odd multiple of 5.
So, the age of the girl who works on the 7th floor is 25 years as 20, 30 are not possible.
3) The number of girls working below Arti is the same as the number of girls working above Bibha.
4) Akansha’s age is a multiple of 13 and she works on one of the odd floors above 5th floor but none of them works on the topmost floor.
So, Akansha’s age is 26 years
Therefore, two cases are possible here.
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Case - 1
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Floor No.
|
Name
|
Age
|
|
1
|
Arti
|
|
|
2
|
|
|
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3
|
Akansha
|
26
|
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4
|
|
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5
|
Arya
|
|
|
6
|
|
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7
|
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25
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8
|
|
|
|
9
|
|
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10
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Bibha
|
|
|
Case - 2
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|
Floor No.
|
Name
|
Age
|
|
1
|
|
|
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2
|
Bibha
|
|
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3
|
Akansha
|
26
|
|
4
|
|
|
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5
|
Arya
|
|
|
6
|
|
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7
|
|
25
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|
8
|
|
|
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9
|
Arti
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|
|
10
|
|
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5) The age gap between Akansha and Arya is 5 years.
So, Arya’s age is 21 years or 31 years]
6) The age of the girl who works on the 6th floor is a prime number that lies between 23 & 31.
Age of girl who works on the 6th floor is 29 years.
7) Aasha works immediately above Bibha and her age is a multiple of 17.
So, Aasha’s age is 34 years
8) Babita whose age is an even number works on one of the even floors below 5 and above 10.
9) The age gap between the oldest member and Babita is a cube root of 64.
So, Babita’s age is 30 years; Babita’s age = Aasha’s age – 4; Babita’s age = 34 - 4
10) Bidya whose age is an odd multiple of 11 works on the 3 floors above Bharti.
So, Bidya’s age is 33 years.
|
Case - 1
|
|
Floor No.
|
Name
|
Age
|
|
1
|
Arti
|
|
|
2
|
|
|
|
3
|
Akansha
|
26
|
|
4
|
Bidya
|
33
|
|
5
|
Arya
|
21/31
|
|
6
|
|
29
|
|
7
|
Bharti
|
25
|
|
8
|
Babita
|
30
|
|
9
|
Aasha
|
34
|
|
10
|
Bibha
|
|
|
Case - 2
|
|
Floor No.
|
Name
|
Age
|
|
1
|
Aasha
|
34
|
|
2
|
Bibha
|
|
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3
|
Akansha
|
26
|
|
4
|
Bidya
|
33
|
|
5
|
Arya
|
21/31
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6
|
|
|
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7
|
Bharti
|
25
|
|
8
|
Babita
|
30
|
|
9
|
Arti
|
|
|
10
|
|
|
3) Bhawana who is an immediate neighbour of Arti works on one of the floors above Aradhya.
Here we eliminate the case 2.
6) Bhawana is the youngest member and the age gap between her and Arya is 1 year.
So, Bhawana’s age is 20 years & Arya’s age is 21 years.
2) The age gap between Bidya&Bibha is half of the age gap between Arti and Bidya. Arti is 10 years younger than Bidya.
So, Arti’s age is 23 years &Bibha’s age is 28 years
|
Case - 1
|
|
Floor No.
|
Name
|
Age
|
|
1
|
Arti
|
23
|
|
2
|
Bhawana
|
20
|
|
3
|
Akansha
|
26
|
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4
|
Bidya
|
33
|
|
5
|
Arya
|
21
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6
|
Aradhya
|
29
|
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7
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Bharti
|
25
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8
|
Babita
|
30
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|
9
|
Aasha
|
34
|
|
10
|
Bibha
|
28
|
So, Bhawana lives on the 2nd floor.