We know sin(3θ) = cos(2θ). Using the identity cos(2θ) = sin(90° - 2θ) 3θ = 90° - 2θ Solving 3θ = 90° - 2θ gives 5θ = 90°, so θ = 18°. Answer: a
The cost price of a rice bag is 40% of the cost price of a sugar bag. The rice bag is sold at a 60% profit, while the sugar bag i...
Cost of two types of pulses is Rs.12 and Rs, 17 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the pr...
In the Reebok factory, there are two units of workers, I and II, with a strength ratio of 2:1. The ratio of male to female in Unit I is 3:1, and in Unit...
Neha spends 80% of her monthly income. Next month, her income increased by 20% while her expenditure increased by 15%. Due to this, her monthly savings ...
In a jar initially containing 'm' liters of pure milk costing Rs. 20 per liter, 50% of the milk is taken out, and honey is added to the remaining milk. ...
If (x - 5)2 - (x + 5)2 = 0, then what is the value of 'x'?
A vessel contains some milk .7 liter of the milk was taken out of the vessel and replaced with 7 liter of water and again 7 liter of mixture was taken o...
A principal of ₹10000 is invested at a compound interest rate of 12% per annum compounded quarterly. What will be the amount after 1/2 year?
A purchases a toy from B for ₹120 and sells it to C, earning a profit of 25%. If B also made a profit of 20% on selling the toy, what is the differenc...
Length and breadth of a rectangular field is (x + 5) cm and (x – 4) cm, respectively. If the cost of ploughing the field at a rate of Rs. 7 per cm² i...
