SSC GD MATHS QUIZ

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Question 1:

The sides of a triangle are in the ratio $\frac{1}{4}: \frac{1}{3}: \frac{1}{5}$. If the perimeter of the triangle is 188 cm, then the length (in $\mathrm{cm}$ ) of the largest side is:

Question 2:

A rectangular field is of the dimensions 20 m length and 10 m breadth. If the length is increased by 10% and the breadth is decreased by 20%, then the ratio of the old area to the new area will be:

Question 3:

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 4:

How many small solid spheres each of 5 mm radius can be made out of a metallic solid cone whose base has radius 21 cm and height 30 cm ?

Question 5:

The perimeter of a rhombus is 148 cm and one of its diagonals is 70 cm. The area (in cm$^2$) of the rhombus is ?

Question 6:

A wheel makes 1000 revolutions in covering a distance of 44 km. Find the radius of the wheel.

Question 7:

The perimeter of a circular field is $1012 \mathrm{~m}$. The area of this field is equal to a rectangular garden whose sides are in the ratio $14: 11$. The longer side of the garden is: (Take $\left.\pi=\frac{22}{7}\right)$

Question 8:

The area of a rectangular garden is 432 m$^2$. The perimeter (in m) of the rectangular garden whose length is 6 m more than its width is:

Question 9:

The ratio of the sides of a rectangular field is 3: 2 and its perimeter is 600 m. The area of a square field is 6 times the area of the rectangular field. The perimeter (in m) of the square field is:

Question 10:

The radius of the base of a solid right circular cylinder is $10.5 \mathrm{~cm}$ and its volume is $5197.5 \mathrm{~cm}^3$. What is the total surface area ( in $\mathrm{cm}^2$ ) of the cylinder? (Take $\pi=\frac{22}{7}$ )
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