SSC MTS MATHS QUIZ

Question 1:

What is the perimeter (in $\mathrm{cm}$ ) of an equilateral triangle whose height is $3.46 \mathrm{~cm}$ ? (Take $\sqrt{3}=1.73)$

$10.4$

9

6

12

Question 2:

A hollow cylinder is made up of steal. The difference in its outer and inner CSA is 132 $\mathrm{cm}^{2}$. Height of cylinder is $21 \mathrm{~cm}$ and sum of its inner and outer radius is also $21 \mathrm{~cm}$. Then find the TSA of the hollow cylinder (in $\mathrm{cm}^{2}$ )

2704

2956

2864

2904

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?

924 $cm^3$

812 $cm^3$

616 $cm^3$

154 $cm^3$

Question 4:

The perimeter of a non-square rhombus ABCD is 20 $\mathrm{cm}$. One of its diagonal is $8 \mathrm{~cm} .$ The area of the rhombus is -

$28 \mathrm{sq.} \mathrm{cm}$

$20 \mathrm{sq.} \mathrm{cm}$

$22 \mathrm{sq.} \mathrm{cm}$

$24 \mathrm{sq.} \mathrm{cm}$

Question 5:

A solid metallic toy has a hemispherical base with radius $3.5 \mathrm{~cm}$ surmounted by a cone. If the height of the cone is the same as the radius of its base, then the volume of metal used in $\mathrm{cm}^{3}$ is: $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

$89 \frac{2}{3} \mathrm{~cm}^{3}$

$144 \frac{3}{4} \mathrm{~cm}^{3}$

$134 \frac{3}{4} \mathrm{~cm}^{3}$

$179 \frac{2}{3} \mathrm{~cm}^{3}$

Question 6:

The sides of a triangular park are 60 m, 297 m and 303 m. Its area is equal to the area of a square-shaped garden. What is the perimeter (in m) of the garden?

$36 \sqrt{110}$

$18 \sqrt{110}$

$18 \sqrt{330}$

$9 \sqrt{330}$

Question 7:

A hollow cylindrical tube $20 \mathrm{~cm}$ long, is made of iron and its external and internal diameters are $8 \mathrm{~cm}$ and $6 \mathrm{~cm}$ respectively. The volume of iron used in making the tube is $\left(\right.$ Take $\left.\mathrm{r}=\frac{22}{7}\right)$

$1760 \mathrm{~cu} . \mathrm{cm}$.

$880 \mathrm{~cu} . \mathrm{cm}$.

$440 \mathrm{~cu} . \mathrm{cm}$.

$220 \mathrm{~cu} . \mathrm{cm}$.

Question 8:

Three solid metallic cubes of sides 6 cm, 8 cm and 10 cm, respectively, were melted to form a new solid cube. Find the side (in cm) of the new solid cube.

9

12

8

12.5

Question 9:

It is required to make a closed cylindrical tank of height 1m and base diameter 140 cm from a metal sheet. How many square meters of the sheet is required for the same?

6.72

7.98

6.5

7.48

Question 10:

If the diagonals of a rhombus are 8 and 6 , then the square of its side is :

25

55

64

36