70003
Question
P, Q and R stand for three different numbers.
The average of P and Q is 64.
The average of Q and R is 50.
P + Q + R = 150
Calculate the values of P, Q and R.
Worked Solution
Test each statement:
|
|
| Average 2P + Q |
= 64 |
| P + Q |
= 128 |
∴ Eliminate first and second option:
|
|
| Average 2Q + R |
= 50 |
| Q + R |
= 100 |
∴ Eliminate third option
=> {{{correctAnswer}}}
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
Variant 0
DifficultyLevel
652
Question
P, Q and R stand for three different numbers.
The average of P and Q is 64.
The average of Q and R is 50.
P + Q + R = 150
Calculate the values of P, Q and R.
Worked Solution
Test each statement:
|
|
| Average 2P + Q |
= 64 |
| P + Q |
= 128 |
∴ Eliminate first and second option:
|
|
| Average 2Q + R |
= 50 |
| Q + R |
= 100 |
∴ Eliminate third option
=> P = 50, Q = 78, R = 22
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| correctAnswer | |
Answers