For the following questions answer them individually
A number is decreased by 30%, then increased by 30%, then further decreased by 10%. What is the net increase/decrease percent in the number(correct to the nearest integer)?
What is the area of a rhombus(in cm$$^2$$) whose side is 13 cm and the smaller diagonal is 10 cm ?
In a $$\triangle$$ABC, the bisectors of $$\angle$$B and $$\angle$$C meet at point O with in the triangle. If $$\angle$$BOC is given, then which among the given options is true ?
If $$x^4 + x^{-4} = 1442, (x > 0)$$ then the value of $$x - x^{-1}$$ is:
Three numbers are in the ratio $$\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$$. The difference between the greatest and the smallest number is 27. The smallest number is:
If $$a^2 + b^2 = 99 and ab = 11, (a > 0, b > 0)$$ then the value of $$(a^3 + b^3)$$ is:
The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018.
In which financial year the absolute difference between the Exports and the Importsis the highest?
What is the average of Import (in tonnes) during the five financial years?
For the following questions answer them individually
If $$2 \sin^2 \theta + 5 \cos \theta - 4 = 0, 0^\circ < \theta < 90^\circ$$, then the value of $$\tan \theta + \sin \theta$$is:
If $$(3x - 7)^3 + (3x - 8)^3 + (3x + 6)^3 = 3 (3x - 7) (3x - 8) (3x + 6)$$, then what is the value of $$x$$ ?