For the following questions answer them individually
If PA and PB are tangents drawn from an external point P to a circle with centre O such that $$\angle$$APB = 70$$^\circ$$, then     $$\angle$$OAB is equal to:
In $$\triangle$$ABC, E and D are points on sides AB and AC, respectively, such that $$\angle$$ABC = $$\angle$$ADE. If AE = 6 cm, AD = 4 cm
and EB = 4 cm, then the length of DC is:
The value of $$\frac{4}{5} \div 3 \frac{1}{4}$$ of $$\frac{8}{13} - \frac{\frac{1}{5} - \frac{1}{8}}{\frac{1}{5} + \frac{1}{8}} \times 5 \frac{1}{5} + \frac{5}{6}$$ is
If the 8-digit number 43A5325B is divisible by 8 and 9, then the sum of A and B is equal to:
There is a 60% increase in an amount in 5 years at simple interest. What will be the compound interest on ₹ 6,250 for two years at the same rate of interest, when the interest is compounded yearly?
If $$\cot \theta = \frac{3}{\sqrt 5}$$, 0$$^\circ$$ < $$\theta$$ < 90$$^\circ,$$ then the value of $$\frac{6 \sec^2 \theta - \frac{5}{3} cosec^2 \theta}{\frac{3}{5} \sec^2 \theta + \frac{4}{3} cosec^2 \theta}$$, is equal to
Amit sold an article for ₹ 7,000 and incurred a loss. Had he sold it for ₹ 8,750, his gain would have been three-fourth of the amount of loss that he incurred. At what price should he sell the article to get 10% profit?
A trader marks his goods in such a way that even after allowing 15% discount on marked price he still gains 27.5%. If the cost price of the goods is ₹ 200, then its marked price is:
In $$\triangle$$ABC, D is a point on BC. If $$\frac{AB}{AC} = \frac{BD}{DC}$$, $$\angle$$B = $$75^\circ$$ and $$\angle$$C = $$45^\circ$$ then $$\angle$$BAD is equal to:
Ravinder invests ₹ 3,750 which is equal to 15% of his monthly salary in a medical insurance policy. Later he invests 25% and 8% of his monthly salary on a child education policy, and mutual funds, respectively. The total amount left with him is:
