For the following questions answer them individually
$$\cos^{3}60 - \cos^{3}240 - \cos^{3}360 $$= ___________.
If x + y + z = 0, then the value of $$\frac{x^{2}}{yz} + \frac{y^{2}}{zx} + \frac{z^{2}}{xy}$$ is:
Three candidates P, Q and R participated in an election. P got 35% more votes than Q, and R got 15% more votes than Q. P overtook R by 2,412 votes. If 90% voters voted and no invalid or illegal votes were cast, then what was the number of voters in the voting list?
Two cities A and B are 135 km apart on a straight track. One car starts from A at 8 a.m. and travels towards B at 25 km/h. Another car starts from B at 9 a.m. and travels towards A at a speed of 30 km/h. At what time will they meet?
Three successive discounts of 10% is equivalent to a single discount of:
If PT is a tangent at T to a circle whose centre is O and OP = 17 cm and OT = 8 cm, find the length of the tangent segment PT.
A dealer sells his goods at a profit of 20%, but uses a weight of 800 g in place of a kg weight. Find his real gain percentage
The circumference of the two circles is 264 cm and 396 cm respectively. What is the difference between their radii?
In triangle $$ABC, \angle B = 90^{\circ}$$, and $$\angle C = 45^{\circ}$$. If $$AC = 2\sqrt{2}$$ cm, then the length of BC is:
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