Directions (55-57): Read the following table carefully and answer the questions given below.
In the table some numbers are given and the probability of picking that number is given.
| NUMBERS | Probability |
|---|---|
| Q |
|
| 2.5 |
|
| Q − 2.5 |
|
| P |
|
|
|
|
| 18.75 |
|
Correct Answer :
4
Solution :
The correct answer is 4.
We are given a set of 6 numbers in a box:
1)
2)
3)
4)
5)
6)
First, let us find the sum of all 6 numbers in the box:
We simplify this sum step-by-step:
The term and cancel each other out:
Combine the constant terms:
We are given that the average of all these numbers is 7. Since there are 6 numbers:
Multiplying both sides by 6:
Subtracting 16.25 from both sides:
In standard algebra problems of this type, the variables typically represent integer values. Letting :
Now, we substitute the value of into the target expression:
Substituting :
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