Question
The average salary of 30 employees was calculated as
₹42,000. Later it was found that one employee’s salary was taken as ₹49,000 instead of ₹39,000, and another’s as ₹37,000 instead of ₹47,000. What is the correct average salary?Solution
ATQ,
Correct average = {(30 × 42000) – 49000 – 37000 + 39000 + 47000}/30
= {(1260000 – 86000 + 86000)}/30
= 1260000 / 30
= ₹42,000
The minimum value of 45 sin2 θ + 28 cos2 θ is

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sin 60° × cos 30° + sin 30° × cos 60°
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