SSC CPO (MIX & ALLIGATION)QUANT QUIZ

Question 1:

The curved surface area of a right circular cylinder is $1320 \mathrm{~cm}^{2}$ and the radius of its base is $10.5 \mathrm{~cm}$. The volume (in $\mathrm{cm}^{3}$ ) of the cylinder is: (Take $\pi=\frac{22}{7}$ )

6930

6908

6798

6732

Question 2:

A cuboidal metal plate of thickness $1 \mathrm{~cm}$, width $9 \mathrm{~cm}$ and length $81 \mathrm{~cm}$ is melted to form a cube. Find the total surface area of the cube.

$729 \mathrm{~cm}^{2}$

$300 \mathrm{~cm}^{2}$

$486 \mathrm{~cm}^{2}$

$286 \mathrm{~cm}^{2}$

Question 3:

What is the maximum amount of water that can be filled in an empty cylindrical tank of depth $7 \mathrm{~m}$ and radius $20 \mathrm{~m}$? ( Take $\pi=\frac{22}{7}$ )

$8800 \mathrm{~m}^{3}$

$4000 \mathrm{~m}^{3}$

$8000 \mathrm{~m}^{3}$

$4800 \mathrm{~m}^{3}$

Question 4:

Find the number of lead balls of diameter each $2 \mathrm{~cm}$ that can be made from a sphere of diameter $18 \mathrm{~cm}$.

$729$

$827$

$843$

$972$

Question 5:

The area of a triangular field with sides $220 \mathrm{~m}, 231 \mathrm{~m}$ and $319 \mathrm{~m}$ is equal to 15 times the area of a circular field. What will be the diameter (in m) of the field?

$14 \sqrt{11}$

$7 \sqrt{7}$

$7 \sqrt{11}$

$14 \sqrt{7}$

Question 6:

The radius of a sphere is $6 \mathrm{~cm}$. The sphere is melted and drawn into a wire of radius $0.4 \mathrm{~cm}$. The length of the wire (in m) is:

$18 \mathrm{~m}$

$15 \mathrm{~m}$

$14 \mathrm{~m}$

$16 \mathrm{~m}$

Question 7:

The curved surface area of a cone is $25 \sqrt{2} \pi \mathrm{cm}^{2}$. If the height of the cone is equal to the radius of its base, then what is the volume (in $\mathrm{cm}^{3}$ ) of the cone? (Use $\pi=\frac{22}{7}$ ) correct to two decimal places.

130 .95

140

124.85

132 .75

Question 8:

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

$64 \times \sqrt{2} \mathrm{~cm}^{2}$

$64 \mathrm{~cm}^{2}$

$256 \mathrm{~cm}^{2}$

$128 \mathrm{~cm}^{2}$

Question 9:

The area of the base of a right circular cone is $81 \pi \mathrm{cm}^2$ and its height is 18 $\mathrm{cm}$. Its slant height is:

$15 \sqrt{5} \mathrm{~cm}$

$9 \sqrt{5} \mathrm{~cm}$

$21 \mathrm{~cm}$

$24 \mathrm{~cm}$

Question 10:

Four cubes each of side $8 \mathrm{~cm}$, are placed together end to end in a row. What is the total surface area (in $\mathrm{cm}^2$ ) of the solid so formed?

1728

512

1152

1536