Aptitude - Average - Discussion
Discussion Forum : Average - General Questions (Q.No. 10)
10.
In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
Answer: Option
Explanation:
Let Arun's weight by X kg.
According to Arun, 65 < X < 72
According to Arun's brother, 60 < X < 70.
According to Arun's mother, X <= 68
The values satisfying all the above conditions are 66, 67 and 68.
Required average = |
![]() |
66 + 67 + 68 | ![]() |
= | ![]() |
201 | ![]() |
= 67 kg. |
| 3 | 3 |
Discussion:
58 comments Page 5 of 6.
Raghavendar said:
1 decade ago
His mother's view is that his weight cannot be greater than 68 kg
but she cant said that >=68
so the solution is 66+67/2=133/2=66.5
answer is none of these..
but she cant said that >=68
so the solution is 66+67/2=133/2=66.5
answer is none of these..
Uma said:
1 decade ago
I got ans like tis way..., may i dont know whether is it correct r nt
view of arun avg=(65+72)/2=68.5
view of his brothers avg=(60+70)/2=65
view of his mother taken as=68
Therefore the avg of above three as=(68.5+65+68)/3=67
view of arun avg=(65+72)/2=68.5
view of his brothers avg=(60+70)/2=65
view of his mother taken as=68
Therefore the avg of above three as=(68.5+65+68)/3=67
Venkat said:
1 decade ago
Arun says that his age is > 65 but < 72
Therefore his age in between 66 to 71.
View of his brother, Arun's age is >60 but < 70,
Therefore Arun's age in between 61 to 69.
View of his mother, Arun's age is Cannot be > 68,
That means Arun's age under 68 years only.
The above three members opinions Arun's age in in between 66 years to 68 years,
Then (66+67+68)/3.
Therefore his age in between 66 to 71.
View of his brother, Arun's age is >60 but < 70,
Therefore Arun's age in between 61 to 69.
View of his mother, Arun's age is Cannot be > 68,
That means Arun's age under 68 years only.
The above three members opinions Arun's age in in between 66 years to 68 years,
Then (66+67+68)/3.
MAHESH said:
1 decade ago
65 - 72 -(1) : 68.5.
60 - 70 -(2) : 65.0.
68 -(3) : 68.0.
-------
201.5/3 = 67.
60 - 70 -(2) : 65.0.
68 -(3) : 68.0.
-------
201.5/3 = 67.
Lalit Kumar said:
1 decade ago
Logic Concept:
Let Arun age is X.
In Arun's opinion: 65 > X < 72.
Possibilities: 66, 67, 68, 69, 70, 71.
In Brother's opinion: 60 > X < 70.
Possibilities: 61, 62, 63, 64, 65, 66, 67, 68, 69
In Mother's opinion: X <= 68.
Possibilities: 1, 2, 3......61, 62, 63, 64, 65, 66, 67, 68.
Now check what similar terms are matching in every 3-possibilities i.e 66, 67, 68.
To find Average age = (66+67+68)/3.
Note: 3 = Three possible values. It is not Arun+Brother+Mother at all.
Let Arun age is X.
In Arun's opinion: 65 > X < 72.
Possibilities: 66, 67, 68, 69, 70, 71.
In Brother's opinion: 60 > X < 70.
Possibilities: 61, 62, 63, 64, 65, 66, 67, 68, 69
In Mother's opinion: X <= 68.
Possibilities: 1, 2, 3......61, 62, 63, 64, 65, 66, 67, 68.
Now check what similar terms are matching in every 3-possibilities i.e 66, 67, 68.
To find Average age = (66+67+68)/3.
Note: 3 = Three possible values. It is not Arun+Brother+Mother at all.
Rituraj said:
1 decade ago
Why aren't we assuming fractional values?
Ashish said:
9 years ago
There is not mentioned that >= means 66+67/2 = 66.5.
So, answer is none of these.
So, answer is none of these.
Venu said:
1 decade ago
Guys,
If the given numbers are in A.P and no. of. numbers is odd number, then average of the whole is just the middle term or the average of first and last numbers.
E.g:- Average of 66, 67 and 68 is 67 only.
No need to do 66+67+68/3.
Use above formula and quickly answer it.
If the given numbers are in A.P and no. of. numbers is odd number, then average of the whole is just the middle term or the average of first and last numbers.
E.g:- Average of 66, 67 and 68 is 67 only.
No need to do 66+67+68/3.
Use above formula and quickly answer it.
Hemanth Kothuru said:
1 decade ago
Weight can also be non integer so given answer is definitely wrong. So the possible way considering all of them are correct is 65<w<68.
So minimum weight is 65+x (x is very very small) and maximum weight is 68. So therefore average weight is 66.5.
So minimum weight is 65+x (x is very very small) and maximum weight is 68. So therefore average weight is 66.5.
Muneer said:
1 decade ago
Can anyone explain in a simple way?
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