For the following questions answer them individually
In $$\triangle ABC$$, D is a point on side BC such that $$\angle ADC = \angle BAC$$. If CA = 12 cm, CB = 8 cm, then CD is equal to:
A person marks his goods x% above the cost price and allows a discount of 30% on the marked price.If his profit is 5%. then the value of x will be:
If $$a^2 + b^2 + c^2 + 96 = 8(a + b - 2c)$$, then $$\sqrt{ab - bc + ca}$$ is equal to:
A right circular cylinder of maximum volume is cut out from a solid wooden cube. The material left is what percent of the volume (nearest to an integer) of the original cube?
The ratio of the volumes of two cylinders is x : y and the ratio of their diameters is a : b, What is the ratio of their heights?
The value of the expression $$(\cos^6 \theta + \sin^6 \theta - 1)(\tan^2 \theta +Â \cot^2 \theta + 2)$$ is:
If A is 28% more than B and C is 25% less than the sum of A and B. Then by what percent will C be more than A (correct to one decimal place)?
A shopkeeper bought 120 quintals of wheat. 20% of it was sold al 25% less. Al what percent gain should he sell the rest to gain 25% on the whole transaction?
The value of $$22.\overline{4} + 11.5\overline{67} - 33.5\overline{9}$$ is:
Anu sold an article for ₹480 at some profit. Had she sold it for ₹400, then there would have been a loss equal to onethird of the initial profit. What was the cost price of the article ?
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