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For the following questions answer them individually
Two boys A and B are opposite side of a tower of height 150mts. They measure the angle of elevation of top of the tower as $$30^{\circ}$$ and $$60^{\circ}$$. Then the distance between the boys (in mts)
If $$(x) = x^{2} + 6x + K_{1}$$ and $$g(x) = x^{2} + 5x + K_{2}$$ have common factor $$x - a =$$ then a =
The number of solutions of the equation
$$\sqrt{x^{2} - x + 1} + \frac{1}{\sqrt{x^{2} - x + 1}} = 2 -x^{2}$$
If $$\frac{xy}{x+y}=\frac{35}{12}$$ and $$\frac{xy}{y-x} = \frac{35}{2}$$, then $$(x, y)=$$
The sum of at two digit number n and the number formed by reversing its digits is 99. When 5 is added to n then it becomes 5 less than 6 times the sum of digits of n. Then the number n is
A machine cost Rs.875000. If the value of the machine depreciates 15% of its cost in the first year, $$13\frac{1}{2}\%$$ of it cost in the second year, $$12\%$$ of its cost in the third year and so on, then its value at the end of 10 years is (in rupees)
If the $$21^{st}$$ and $$22^{nd}$$ terms in the expansion of $$(1 + x)^{44}$$ are equal, then $$x$$ =
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