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If θ be positive acute angle and \(5cosθ + 12sinθ = 13\), then the value of cosθ is
A dishonest grocer sells rice at a profit of 10% and uses weights which are 20% less than the marked weight. The total gain earned by him will be
P, Q and R together can do a piece of work in 56 days. P and Q together can do one-fourth as much work as R alone. In how many days can P and Q together complete the entire work?
In a triangle ABC, right-angled at C, if \(sec A={13\over5}\), then find the value of \(\frac{1+ \sin A}{\cos B}\).
20 men can finish a work in 30 days. They started working, but 4 men left the work after 10 days. In how many days would the work be completed?