For the following questions answer them individually
A train travels 500 m in first minute. In the next 4 minutes, it travels in each minute 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be
If ratio of principal and simple interest for 1 year is 25 : 1, then the rate of interest is
If $$(m+1) = \sqrt{n}+3$$ the value of $$\frac{1}{2}(\frac{m^{3}-6m^{2}+12m-8}{\sqrt{n}}-n)$$
If $$x=\frac{a-b}{a+b},y=\frac{b-c}{b+c},z=\frac{c-a}{c+a}$$ then $$\frac{(1-x)(1-y)(1-z)}{(1+x)(1+y)(1+z)}$$ is equal to
If $$\frac{\sqrt{7}-1}{\sqrt{7}+1}-\frac{\sqrt{7}+1}{\sqrt{7}-1}=a+\sqrt{7} b$$ the values of a and b are respectively
The value of $$\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+......+\frac{1}{\sqrt{8}+\sqrt{9}}$$ is
If $$\frac{\sqrt{a+2b}+\sqrt{a-2b}}{\sqrt{a+2b} - \sqrt{a-2b}}=\frac{\sqrt{3}}{1}$$, find the value of $$\frac{a}{b}$$
A point in the 4th quadrant is 6 unit away from x-axis and 7 unit away from y-axis. The point is at
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