Question : Find the value of the given expression:
$10 \div 5 × 1+3 - [8 - \{5 - (7 - 7 - 9)\}]$

Option 1: 11

Option 2: 10

Option 3: 9

Option 4: 8

Question : What is the mode of the given data?
5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7

Option 1: 7

Option 2: 6

Option 3: 5

Option 4: 3

Question : A shopkeeper earns 10% on an investment but loses 20% on another investment. If the ratio of the two investments is 2 : 3, then the combined loss percentage is:

Option 1: 5.5%

Option 2: 7%

Option 3: 6%

Option 4: 8%

Question : If the ratio of corresponding sides of two similar triangles is $\sqrt{5}: \sqrt{7},$ then what is the ratio of the area of the two triangles?

Option 1: $\sqrt[3]{5}: \sqrt{7}$

Option 2: $25: 49$

Option 3: $\sqrt{5}: \sqrt{7}$

Option 4: $5: 7$

Question : The radii of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 8 : 5. The ratio of their volumes is equal to:

Option 1: 9 : 10

Option 2: 8 : 9

Option 3: 9 : 11

Option 4: 7 : 10