UP SI MATHS QUIZ

Question 1:

How many small solid spheres of radius $5 \mathrm{~mm}$ can be made from a solid metallic cone of base radius $21 \mathrm{~cm}$ and height of $40 \mathrm{~cm}$?

$35280$

$35000$

$32000$

$25000$

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.

₹ 162

₹ 210

₹ 198

₹ 150

Question 3:

The length, breadth and height of a solid cuboidal box are in the ratio 7:5:3 and its total surface area is $11502 \mathrm{~cm}^2$. Its breadth is:

$27 \mathrm{~cm}$

$56 \mathrm{~cm}$

$81 \mathrm{~cm}$

$45 \mathrm{~cm}$

Question 4:

If the volume of a cube is $192 \sqrt{3}$ cubic cm, then the length of its diagonal is:

16 cm

14 cm

13 cm

12 cm

Question 5:

The radius of the base of a metallic cylindrical box is 17.5 cm. Its height is one meter. What is the capacity (in litres) of the box?(Take $\pi=\frac{22}{7}$)

90.5

95

96.25

99

Question 6:

Area of a rhombus is 240 cm$^2$. If one of its diagonals is of length 30 cm, then perimeter of the rhombus is

120 cm

136 cm

60 cm

68 cm

Question 7:

The area of the floor of a cubical room is 192 m². The length of the longest rod that can be kept in that room is

18 m

22 m

24 m

26 m

Question 8:

Area of a triangle of sides 45 cm, 51 cm and 24 cm is equal to the area of a rectangle of length 30 cm. Then, perimeter of the rectangle is:

96 cm

48 cm

120 cm

60 cm

Question 9:

The sum of the length, the breadth and the height of a cuboid is 18cm. If the length of its diagonal is 13 cm, then the total surface area of the cuboid is:

$154 \mathrm{~cm}^2$

$155 \mathrm{~cm}^2$

$150 \mathrm{~cm}^2$

$145 \mathrm{~cm}^2$

Question 10:

A wire, which is in the form of a circle with radius $14 \mathrm{~cm}$, is bent to form a square. What is the length (in $\mathrm{cm}$ ) of the side of the square? ( Use $\pi=\frac{22}{7}$ )

20.8

24

21.5

22