SSC MTS MATHS QUIZ

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Question 1:

A metallic hemispherical bowl is made up of steel. The total steel used in making the bowl is $342 \pi \mathrm{cm}^{3}$. The bowl can hold $144 \pi \mathrm{cm}^{3}$ water then what is the total surface area of outer side metallic hemisphere ?

Question 2:

The side of an equilateral triangular board is 12 m. Find the cost (in Rs) of fencing the board at the rate of Rs 4.50 per metre.

Question 3:

The total surface area of a solid right circular cone is $6930 \mathrm{~cm}^2$. Its curved surface area is $\frac{4}{5}$ its total surface area. What is the diameter (in $\mathrm{cm}$ ) of the base of the cone? (Take $\pi=\frac{22}{7}$ )

Question 4:

The volume of a right circular cone is 1232 $\mathrm{cm}^{3}$ and its vertical height is $24 \mathrm{~cm}$. Its curved surface area is:

Question 5:

The length, breadth and height of a cuboid are in the ratio $1: 2: 3$. If its total surface area is $1100 \mathrm{~cm}^2$, then its volume (in $\mathrm{cm}^3$ ) is :

Question 6:

Area of a triangle of sides 24 cm, 25 cm and 7 cm is equal to the area of a rectangle of length 14 cm. Then, perimeter of the rectangle is:

Question 7:

The area of a circular garden of diameter $9.8 \mathrm{~m}$ is $\mathrm{A}$. Then, value of $2 \mathrm{~A}+4.48 \mathrm{~m}^2$ is (use $\pi=\frac{22}{7}$ )

Question 8:

The sum of the length, breadth and height of cuboid is $15 \mathrm{~cm}$. If the length of the diagonal is $8 \mathrm{~cm}$, then find the total surface area of cuboid.

Question 9:

The area of a circle and square are equal. What is the square of the ratio of length of diameter to length of diagonal?

Question 10:

What will be the ratio of the area of square to area of circle which inscribed in the square?