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01 Jan 2020, 03:12
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
53% (03:13) correct
47%
(03:14)
wrong
based on 127
sessions
History
Date
Time
Result
Not Attempted Yet
Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint is nearest to
(A) 25 years
(B) 24 years
(C) 23 years
(D) 22 years
(E) 21 years
(A) 25 years
(B) 24 years
(C) 23 years
(D) 22 years
(E) 21 years
01 Jan 2020, 10:32
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IMO - B (24 years)
Solition -
231 years at the beginning of 10 years
3 years later, total addtion would be 8*3=24 years. So, 231+24=255 years is the total age of 8 members.
1 member of age 60 died and one member born, total at time would become 255-60=195
3 years later, total addtion would be 8*3=24 years. So, 195+24=219 years is the total age of 8 members.
1 member of age 60 died and one member born, total at time would become 219-60=159
4 years later i.e now, total addition would be 8*4=32 years. So, 159+32=191 would be the total age
Average age at this time is 191/8=24 (approx.)
Solition -
231 years at the beginning of 10 years
3 years later, total addtion would be 8*3=24 years. So, 231+24=255 years is the total age of 8 members.
1 member of age 60 died and one member born, total at time would become 255-60=195
3 years later, total addtion would be 8*3=24 years. So, 195+24=219 years is the total age of 8 members.
1 member of age 60 died and one member born, total at time would become 219-60=159
4 years later i.e now, total addition would be 8*4=32 years. So, 159+32=191 would be the total age
Average age at this time is 191/8=24 (approx.)
01 Jan 2020, 11:02
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Approach
- 10 Years ago, Combined Age of 8 people = 231
- 3 years later, one member died at the age of 60 years and a child was born during the same year, So 3*8 = 24 years will be added to group total age and then we'll reduce(for the member died) the 60 years from the total and add '0' for
new born: 231+24-60+0 = 195
- 3 years more later, one member died at the age of 60 years and a child was born during the same year, So again 3*8 = 24 years will be added to group total age and then will be reduced(for the member died) the 60 years from the total and add '0' for
new born: 195+24-60+0 = 159
- Present or 4 years further: 159+32 = 191
So, Current Average age of 8 member each= 191/8 ~ 24 Years
Option B
- 10 Years ago, Combined Age of 8 people = 231
- 3 years later, one member died at the age of 60 years and a child was born during the same year, So 3*8 = 24 years will be added to group total age and then we'll reduce(for the member died) the 60 years from the total and add '0' for
new born: 231+24-60+0 = 195
- 3 years more later, one member died at the age of 60 years and a child was born during the same year, So again 3*8 = 24 years will be added to group total age and then will be reduced(for the member died) the 60 years from the total and add '0' for
new born: 195+24-60+0 = 159
- Present or 4 years further: 159+32 = 191
So, Current Average age of 8 member each= 191/8 ~ 24 Years
Option B
