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Eight men can complete a work in 54 days. In how many days will 6 men and 12 boys complete the same work if one man works as much as 2 boys?

A can complete a certain work in 30 days. He started the work. After 4 days, B joined him and the whole work was completed in 10 days from the beginning. B alone can complete one-third of the same work in:

If sin^{2}θ - cos^{2}θ - 3sinθ + 2 = 0, 0° < θ < 90°, then what is the value of 1 + secθ + tanθ?

If \(11 \sin^{2} \theta - \cos^{2} \theta + 4 \sin \theta - 4 = 0, 0^\circ < \theta < 90^\circ\), then what is the value of \(\frac{\cos 2\theta + \cot 2 \theta}{\sec 2 \theta - \tan 2 \theta}\) ?

A fruit vendor recovers the cost of 95 oranges by selling 80 oranges. What is his profit percentage?