The domain of the function $log f(x)=\sqrt{log_{10} \frac{log_{10} x}{2(3-log_{10} x)}}$
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A 140 m long train crosses a platform in 30 seconds at a speed of 36 km/h. What is the length of the platform?
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A car covers 15 km, 20 km, 30 km and 12 km at speeds of 20 km/hr, 30 km/hr, 40 km/hr and 30 km/hr respectively The aver…
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The following polynomial has integer roots $x^3 + 30x^2 -7377x + 14626 = 0$. Find the value of the largest root.
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A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surfa…
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The points (a: b) , (c, d) and $\frac{kc+la}{k+l}$,$\frac{kd+lb}{k+l}$ are
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The range of the function $f(x)-\frac{x+2}{|x+2|}, x\ne2$ is
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Sham purchased a Maruti van for Rs. 1,96,000 Rate of fall of price per year of this van is $14 \frac{2}{7}%$. What will…
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A and B can complete a work in 12 days, B and C complete a work in 15 days and C and A can complete a work in 20 days. …
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A cylinder of radius 12cm contains water to a depth of 20cm. A spherical iron ball is dropped into the cylinder and thu…
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If $A(cos\alpha, sin\alpha)$, $B(sin\alpha, -cos\alpha)$, C(1,2) are the vertices of a $\Delta ABC$, then as $\alpha$ v…
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A pendulum swings through an angle of $30{^{\circ}}$ and describes an arc 8.8cm in length. The length of the pendulum is
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If two lines represented by $x^4+x^3y+cx^2y^2-xy^3+y^4=0$ bisect the angle between the other two, then the value of c is
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Two numbers are selected randomly from a set S={1,2,3,4,5,6} without replacement one by one. The probability that minim…
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The probability of a shooter hitting a target is $\frac{3}{4}$. How many minimum numbers of times must he/she fire so t…
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If the angles of a triangle are in Arithmetic Progression, then the measures of one of the angles in radians is
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A line intersects lines 5x-y-4=0 and 3x-4y-4=0 at point A and B. If a point P(1, 5) on the line AB is such that AP: PB=…
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Straight lines are drawn by joining m points on a straight line to n points on another line. Then excluding the given p…
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The coefficient of $x^n$ in the expansion of $(1−9x+20x^2)^{−1}$ is
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The differential equation of the family of curves $y=e^x(A cosx+B sinx)$, where A and B are arbitrary constants, is
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Two cars travel from city A to city B at speeds of 42 km/hr and 60 km/hr respectively. If one car takes 2 hours lesser …
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