Question : How many litres of water can a hemispherical tank of radius 2.1 m contain? (Take $\pi=\frac{22}{7}$)

Option 1: 18984

Option 2: 19324

Option 3: 18404

Option 4: 19404

Question : In a mixture of 178 litres, the ratio of water and milk is 5 : 7. How much water should be added to make the ratio of water and milk 3 : 4?

Option 1: $3 \frac{17}{24}$ litres

Option 2: $3 \frac{13}{24}$ litres

Option 3: $2\frac{11}{24}$ litres

Option 4: $2\frac{23}{24}$ litres

Question : The ratio of the circumference and diameter of a circle is $22: 7$. If the circumference is $1\frac{4}{7}$ m, then the radius of the circle is:

Option 1: $\frac{1}{3}$ m

Option 2: $\frac{1}{2}$ m

Option 3: $\frac{1}{4}$ m

Option 4: $1$ m

Question : A mixture of 70 litres of wine and water contains 10% of water. How much water must be added to make the water $12 \frac{1}{2}\%$ of the resulting mixture?

Option 1: 5 litres

Option 2: 3 litres

Option 3: 2 litres

Option 4: 4 litres

Question : A hemispherical bowl is made of 1 cm thick steel. The inside radius of the bowl is 4 cm. The volume of the steel (in cm³) used in making the bowl is:

Option 1: $40\frac{2}{3}\pi$

Option 2: $27\frac{1}{3}\pi$

Option 3: $41\frac{1}{3}\pi$

Option 4: $35\frac{1}{3}\pi$

Question : A mixture contains liquid A and B in the ratio 5 : 3, respectively. If 3 litres of liquid B is added to it, the ratio of liquid A to liquid B becomes 7 : 6. What is the quantity of liquid A in the mixture?

Option 1: $7 \frac{2}{3}$ litres

Option 2: $9 \frac{1}{3}$ litres

Option 3: $11 \frac{2}{3}$ litres

Option 4: $13 \frac{1}{3}$ litres