List of practice Questions

The coefficient of \( x^{20} \) in the expansion of \( (1 + 3x + 3x^2 + x^3)^{20} \):
Let \(f :R→R\) be a function defined by \(f(x)=(2(1−\frac {x^{25}}{2})(2+x^{25}))^{\frac {1}{50}}\). If the function \(g(x) = f (f (f (x))) + f (f (x))\), then the greatest integer less than or equal to \(g(1)\) is _________.
The zero's of a quadratic polynomial \(4y^2+8y \) are
The base of common logarithm is
\(\sqrt p+\sqrt q\) is an irrational number, where \(p, q\) are
The pair of equations \(\frac 32x+\frac 53y=7, \ 9x-10y=12\), represents the following
The pair of equations \(3x+4y=k \)and \(9x+12y=6\) has infinitely many solutions if \(k=\)
The value of \(log_{1250} 1250\) is
Which of the following is true?
If in the equation \(x+3y=10\), the value of \(y\) is \(4\), then the value of \(x\) will be
If the equation \(ax^2-8x+4=0\) has equal roots then \(a=\) ____ .
If \(\frac {a_1}{a_2}=\frac {b_1}{b_2}≠\frac {c_1}{c_2}\), then the lines are
If sum and product of zero's of a Quadratic polynomial are 1, 1 respectively, then its corresponding quadratic polynomial is
If \(sin(A-B)=\frac 12\) and \(cos(A+B)=\frac 12\), then \(∠A, ∠B\) ?
The length of the shadow of a vertical pole is \(\sqrt 3\) times its original length. The angle of elevation to the sun is ____ .
A bag contains '4' black balls and '6' red balls. If one ball is drawn at random, then the probability of getting red ball is
If mode = 29, mean = 32 then median ____ .
Find length of a kite string flying at 100 m above the ground with the elevation 60°.
The median of -4, -6, -5, 3, 0, 5 and 11 is
Average of 11 numbers is 10.5; If one of the number 9 is deleted, then the average of the remaining numbers is
Identify the correct statement -
When two dice are rolled the probability of getting same odd number on two dice is
The tops of two poles are of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is
The curved surface area of a cylinder is \(264\ m^2\) and its volume is \(924\ m^3\) then height of the cylinder is
If \(sin \ θ=cos\  θ\) \((0<θ<90°)\), then \(tan\ θ =\) ____ .