List of practice Questions

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 \(tan\ θ =\) ____ .

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 ____ .

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

In the right angle \(△ABC,\ ∠B=90°\), \(tan\ C=\frac {5}{12}\) then the length of hypotenuse is

If \(A=45°,\ B=60°,\) then \(sin\ A+cos\ B\)

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

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

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

The radius of the sphere is increased by 100% then the volume of the resultant sphere is increased by