Question : The average of p, q, r, and s is 30. If the average of p and q is 12, then what will be the average of r and s?
Option 1: 50
Option 2: 52
Option 3: 48
Option 4: 56
Correct Answer: 48
Solution :
Sum of p, q, r, s = Average × count = 30 × 4 = 120
Sum of p, q = Average × count = 12 × 2 = 24
Sum of r, s = Sum of p, q, r, s – Sum of p, q = 120 – 24 = 96
$\therefore$ Average of r and s = $\frac{\text{Sum of r, s}}{\text{count}}=\frac{96}{2}= 48$
Hence, the correct answer is 48.
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