SSC MTS MATHS QUIZ

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Question 1:

The base of a pyramid is a rectangle whose length and breadth are $16 \mathrm{~cm}$ and $12 \mathrm{~cm}$, respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is $26 \mathrm{~cm}$, then find the volume of the pyramid in cubic centimeter.

Question 2:

A sphere of radius $9 \mathrm{~cm}$ is moulded to form a cylinder of radius $3 \mathrm{~cm}$. Find the height of the cylinder.

Question 3:

If the radius of the base of a cylinder is 7 cm and its height is 6 cm, then what is the volume of the cylinder?

Question 4:

The curved surface area of a right circular cone is $3185 \pi \mathrm{cm}^2$. If the radius of its base is $35 \mathrm{~cm}$, then its height (in cm) will be:

Question 5:

The difference between the two perpendicular sides of a right-angled triangle is $17 \mathrm{~cm}$ and its area is $84 \mathrm{~cm}^2$. What is the perimeter (in cm) of the triangle?

Question 6:

The diameter of the base of a cone is $1.5$ times its height. If its curved surface area is $480 \pi \mathrm{cm}^2$, then its slant height (in $\mathrm{cm}$ ) is:

Question 7:

The diagonal of a square is$4 \sqrt{2} \mathrm{~cm}$. The diagonal of another square whose area is double that of the first square is :

Question 8:

The area of a square inscribed in a circle, whose diagonal is $16 \mathrm{~cm}$, is:

Question 9:

If the perimeter of a rectangle is 50 cm and its diagonal is 23 cm long, then what is the area of the rectangle?

Question 10:

The curved surface area of a right circular cylinder is $3432 \mathrm{~cm}^2$ and the radius of its base is $26 \mathrm{~cm}$. Its volume (in $\mathrm{cm}^3$ ) is:( Take $\pi=\frac{22}{7}$ )