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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
$$\sqrt{x^{2} - x + 1} + \frac{1}{\sqrt{x^{2} - x + 1}} = 2 -x^{2}$$
The remainder when $$21^{875}$$ is divided by 17 is
If $$x^{2} + 6x - k = 0$$ has distinct real roots, then k lies in the interval
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 AM and GM of the two numbers are 34 and 16 respectively, the numbers are
If the $$21^{st}$$ and $$22^{nd}$$ terms in the expansion of $$(1 + x)^{44}$$ are equal, then $$x$$ =
Day-wise Structured & Planned Preparation Guide
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