List of practice Questions

The number of common tangents of two intersecting circles is:

A circle has radius \(7\) cm. From external point \(P\), tangent \(PT=24\) cm. If \(O\) is centre, find \(OP\).

From an external point \(P\), the length of one tangent to a circle is \(17\) cm. The other tangent from \(P\) to the same circle has length:

A circle has radius \(7\) cm. If the area of a minor sector is \(14\ \text{cm}^2\), find the area of the major sector.

The area of a circle is \(154\ \text{cm}^2\). Its diameter is:

The product of two numbers is \(8670\) and their HCF is \(17\). What is their LCM?

Which of the following is a rational number?

If \(130 = 15 \times 8 + 10\) and \(15 = 5 \times 3 + 0\), then \(\mathrm{HCF}(130,\,15)\) will be:

Simplify \(1-\sin^{4}\theta\):

In \(\triangle ABC\), points \(X\) on \(AB\) and \(Y\) on \(AC\) satisfy \(XY\parallel BC\). If \(AX:XB=2:3\), then \(AY:YC=\) ?

The ratio of the areas of two similar triangles is \(121:64\). The ratio of their corresponding medians is:

Two similar triangles have perimeters \(30\) cm and \(20\) cm. If a side of the first triangle is \(18\) cm, the corresponding side of the second is:

What is the exponent of \(2\) in the prime factorization of \(192\)?

If in the division algorithm \(a=bq+r\), \(a=72\), \(q=8\) and \(r=0\), then what is the value of \(b\)?

Which of the following has a terminating decimal expansion?

If \(q\) is a positive integer, which of the following is {not an odd positive integer?}

The HCF of two consecutive even numbers is:

The sum of a rational number and an irrational number is which type of number?

The external radius of a metallic pipe is \(4\) cm and its internal radius is \(3\) cm. If its length is \(10\) cm, then the volume of metal is:

The areas of the bases of a cone and a cylinder are equal and their curved surface areas are also equal. If the height of the cylinder is \(2\) metre, then the slant height of the cone is:

If the volume of a cube is \(125\ \text{cm}^3\) then the ratio of the side of the cube and the space diagonal of the cube is:

If the total surface area of a hemisphere is \(462\ \text{cm}^2\), then its diameter is:

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 is:

If the radius of a sphere becomes \(3\) times, then its volume will become:

\(\dfrac{\sqrt{81}}{2}\) is: