List of top Mathematics Questions

The length of the shadow of a vertical pole is \(\sqrt 3\) times its original length. The angle of elevation to the sun is ____ .

If the radius of a sphere is '2r' then the volume will be

The curved surface area of a cylinder is \(264\ m^2\) and its volume is \(924\ m^3\) then height of the cylinder is

In the below figure OB = 13 cm; OP = 12 cm and OP⊥AB, then the value of AB is

Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.

Average of 11 numbers is 10.5; If one of the number 9 is deleted, then the average of the remaining numbers is

\(△ABC∼△PQR; \ ∠P=60°,\ ∠Q=75°\) then, \(∠A=\) _____ .

The pair of equations \(3x+4y=k \)and \(9x+12y=6\) has infinitely many solutions if \(k=\)

The pair of equations \(\frac 32x+\frac 53y=7, \ 9x-10y=12\), represents the following

The base of common logarithm is

The value of \(log_{1250} 1250\) is

If \(sin \ θ=cos\  θ\) \((0<θ<90°)\), then \(tan\ θ =\) ____ .

In the below figure \(△RST∼△RBA\), then the value of \(x\) is

If \(\frac {a_1}{a_2}=\frac {b_1}{b_2}≠\frac {c_1}{c_2}\), then the lines are

Which vessel shown in the below figure can hold more water?

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3 then the ratio of their volumes are

If the equation \(ax^2-8x+4=0\) has equal roots then \(a=\) ____ .

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

Identify the correct statement -

When two dice are rolled the probability of getting same odd number on two dice is

If \(tan(A-B)=\frac {1}{\sqrt 3},\ cos \ A=\frac 12 \) then \(∠B=\) ____ .

The value of \(\frac {tan\ α}{\sqrt {1+tan^2α}}\) is ____ .

The median of -4, -6, -5, 3, 0, 5 and 11 is

In the below figure \(△PQR~△ABC\), then \(z+y=\) _____ .

\(\sqrt p+\sqrt q\) is an irrational number, where \(p, q\) are