For the following questions answer them individually
$$x$$ is a negative number such that k + k-1 = -2, then what is the value of $$\frac{k^{2}+4k-2}{k^{2}+k-5}$$
If $$\left(x+\frac{1}{x}\right)=5\sqrt{2}$$, then the value of $$\left(x^{4}+x^{-4}\right)?$$
A man rows a boat a certain distance downstream in 9 hours, while it takes 18 hours to row the same distance upstream. How many hours will it take him to row three-fifth of the same distance in still water?
Study the given chart and answer the following question.
What is the central angle corresponding to the production steel by Kerala?
A shopkeeper makes a net profit of 44% on selling an article at successive discounts of 10% and 20%. Find the net profit percentage, if the shopkeeper sells the same article at a discount of 15%
What will be the value of $$\frac{\sin 30^{\circ} \sin 40^{\circ} \sin 50^{\circ} \sin 60^{\circ}}{\cos 30^{\circ} \cos 40^{\circ} \cos 50^{\circ} \cos 60^{\circ}}$$?
What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
The price of a scooter increases successively by10%, 5% and 15%. What is the total percentage increase in price of scooter?
If areas of similartriangles $$\triangle$$ ABC and $$\triangle$$ DEF are $$x^{2} cm^{2}$$ and $$y^{2} cm^{2}$$ respectively, and EF = a cm, then B (in cm) is:
The average of the marks of 25 students in a class, in an examination was calculated to be 19. Later, the teacher realized that the marks of two students were taken as 18 and 19 respectively, instead of 14 and 15. Find the new actual average marks of the class.