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13 Oct 2021, 06:00
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B
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Difficulty:
65%
(hard)
Question Stats:
57% (02:16) correct
43%
(02:04)
wrong
based on 279
sessions
History
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The median age of 15 children in group A was 12. The median age of 19 children in group B was 9. Two children - the youngest and the oldest - in group B were to group A. What was the new median age of the children in group A?
(1) The youngest children in group B was 7 years old.
(2) The oldest child in group B was 12 years old.
(1) The youngest children in group B was 7 years old.
(2) The oldest child in group B was 12 years old.
13 Feb 2023, 00:52
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For A: 8th term i.e 12 is the median
For b: 10th term i.e 9 is the median
New no. of terms in A= 17 so median = 9th term
a. The youngest children in group B was 7 years old.
If the oldest is less than 12 then median will change else not. We need to know oldest term for this
b. The oldest child in group B was 12 years old.
As mentioned above, this means 8th and 9th term will be 12. So median will be 12.
Ans: B
For b: 10th term i.e 9 is the median
New no. of terms in A= 17 so median = 9th term
a. The youngest children in group B was 7 years old.
If the oldest is less than 12 then median will change else not. We need to know oldest term for this
b. The oldest child in group B was 12 years old.
As mentioned above, this means 8th and 9th term will be 12. So median will be 12.
Ans: B
14 Mar 2023, 00:48
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Bunuel
Solution:
Pre Analysis:
- Median age of 15 children in group A was 12
- This means 8th child has age 12 in group A
- Median age of 19 children in group B was 9
- This means 10th child has age 9 in group B
- 2 children - the youngest and the oldest - in group B are sent to group A
- So, the median of group B doesn't change
- We are asked the new median of group A
Statement 1: The youngest children in group B was 7 years old
- This will be on the left of the old median of group A
- Now if the oldest child of group B is greater than 12, median of A doesn't change
- But if oldest child of group B is less than 12, median of A changes
- Thus, statement 1 alone is not sufficient and we can eliminate options A and D
Statement 2: The oldest child in group B was 12 years old
- Oldest child of B is median of A i.e., 12
- So, the median of A doesn't change and remain 12
- Because the middle term still remains 12
- Thus, statement 2 alone is sufficient
Hence the right answer is Option B
