For the following questions answer them individually
A copper wire when bent in the form of a square encloses an area of $$121\ cm^2$$. If the same wire is bent into the form of a circle, find the area of the circle:(Use:$$\pi=\frac{22}{7}$$)
When $$x^2+ax+b$$ is divided by $$(x-1)$$, the remainder is 15 and when $$x^2+bx+a$$ is divided by $$(x+1)$$, the remainder is $$-1$$, then the value of $$a^2+b^2$$ is:
If $$a-\frac{1}{a}=1$$, then $$a^2+\frac{1}{a^2}=?$$
Consider the given argument and decide which of the given assumptions is (are) implicit.
Argument:
Due to water crisis in the city, the authority had asked all the citizens to reduce their water consumption by 25%.
Assumptions:
1. Many citizens may reduce their water consumption.
2. Many activists may protest to this advisory by the authority.
If a body takes ‘t’ seconds to go once round the circular path of radius ‘r’, the velocity ‘v’ is given by:
Who is the only Indian economist to have won the Nobelprize?
Complete the series given in the Problem Figure with an appropriate option from the Answer Figures.
Find the L.C.M of $$\frac{4}{5},\frac{2}{3}$$ and $$\frac{5}{7}$$
What happens as we go down the group in the periodic table?