M L Aggarwal Solutions for Chapter: Sample Question Paper, Exercise 1: SECTION A

The total surface area of the given solid figure is _____.

If one root of the equation $(k-1)x^2-10x+3=0$ is the reciprocal of the other, then the value of $k$ is _____.

The perimeter of two similar triangles $∆\mathrm{ABC}$ and $∆\mathrm{PQR}$ are $35 \mathrm{cm}$ and $45 \mathrm{cm}$ respectively, then the ratio of the areas of the two triangles is _____.

A number is chosen at random from the number $-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5$. Then the probability that square of this number is less than or equal to $1$ is _____.

Write one rational and one irrational number lying between $0.25$ and $0.32$.

In the adjoining figure, if $\angle \mathrm{ACB}=\angle \mathrm{CDA}$, $\mathrm{AC}=6 \mathrm{cm}$ and $\mathrm{AD}=3\mathrm{cm}$, then find the length of $\mathrm{AB}$ (in cm).

If the angle between two tangents drawn from an external point '$\mathrm{P}$' to a circle of radius '$r$' and centre $\mathrm{O}$ is $60°$, then find the length of $\mathrm{OP}$.

If the first three terms of an AP are $b, c,$ and $2b$, then find the ratio of $b$ and $c$.