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.
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.
Niraj said:
1 decade ago
((65+72)+(60+70)+(68))/5 = 67.
Anwi said:
1 decade ago
The average age of man and son is 40 years. The ratio of their ages is 11:5 respectively. What is the son's age ? Solve it.
Navneet gupta said:
9 years ago
As per the condition, only three ages i.e 66, 67, 68 comes in range. And the average will be 67.
Rituraj said:
1 decade ago
Why aren't we assuming fractional values?
Myvizhimalar said:
1 decade ago
In The Given Problem, they said that Arun assume that his age will be more than 65 and less than 70,
A--> 65<A<75.
His brother's, 60< A < 70.
His Mom's opinion is, A<=68.
So the common numbers by the above three conditions are 66, 67, 68
by(66+67+68)/3 = 201/3 = 67kg.
A--> 65<A<75.
His brother's, 60< A < 70.
His Mom's opinion is, A<=68.
So the common numbers by the above three conditions are 66, 67, 68
by(66+67+68)/3 = 201/3 = 67kg.
Abhishek said:
1 decade ago
Actually they want probable Weight or we can say avg weight.
So the simplest way to solve this Question is like that.
All the weights are Greater than or less than each other so easily we can find out their avg like.
65+72+60+70+68=335/5.
Answer will be 67 kgs.
So the simplest way to solve this Question is like that.
All the weights are Greater than or less than each other so easily we can find out their avg like.
65+72+60+70+68=335/5.
Answer will be 67 kgs.
Harsha said:
1 decade ago
From the question itself. We are going to know that the age is in between 65-68.
So 66, 67, 68.
Why 66.....because. It should be greater than 65 as @Arun said Why 67....because as per his brother opinion <60 & >70.
As per his mother his age is definitely 68. So eliminate 69, 70 so according to his brother. His age is 67....why 68..... his mother gave a statement that he is 68 years old.
So 66, 67, 68.
Why 66.....because. It should be greater than 65 as @Arun said Why 67....because as per his brother opinion <60 & >70.
As per his mother his age is definitely 68. So eliminate 69, 70 so according to his brother. His age is 67....why 68..... his mother gave a statement that he is 68 years old.
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