For the following questions answer them individually
A book has been co-authored by X and Y. The prices of the book in India and abroad are ₹800 and ₹1000 respectively. The royalties earned on sale in India and abroad are 10% and 16% respectively. The royalty amount is distributed among X and in the ratio 5 : 3. The given Bar Graph presents the number of copies of the book sold in India (A) and abroad (B) during 2012-16.
What is the total number of the copies of the book sold in India during 2012-2015?
It is given that the area of a triangle is A. The values of its perimeter, in radius, circumradius and the average of the lengths of the medians are respectively, p, r, R and d. The ratio A : p is equal to:
A shopkeeper normally allows a discount of 10% on the marked price of each article. During a sale season, he decides to give two more discounts, the first being at a rate of 50% of the original and the secondat a rate of 40% ofthefirst. What is the percentage rate of the equivalent single discount (correct up to two decimal places)?
Two circles of diameters 2 cm and 5.6 cm are such that the distance between their centres is 8.2 cm. What is the length of a common tangent to the circles that does not intersect the line joining the centres?
Equilateral triangles are drawn on the hypotenuse and one of the perpendicular sides of a right-angled isosceles triangles. Their areas are H and A respectively. $$\frac{A}{H}$$ is equal to:
ABCDEFGH is a regular octagon inscribed in a circle with centre at O. The ratio of $$\angle$$OAB to $$\angle$$AOB is equal to:
$$\theta$$ being an acute angle, it is given that $$\sec^2 \theta + 4 \tan^2 \theta = 6$$. What is the value of $$\theta$$ ?
A borrows a sum of ₹2,000 from his friend B on 31 December 2011 on the condition that he will return the same after one year with simple interest at 8% per annum. However, A gets into a position of returning the money on 1 July 2012. How much amount he has to return to B?
If $$a + \frac{1}{a} = 3$$, then the value of $$\left(a^6 + \frac{1}{a^6}\right)$$ is equal to:
If, $$a^{\frac{1}{3}} + b^{\frac{1}{3}} + c^{\frac{1}{3}} = 0, then (a + b +c)^6$$ is equal to: