Question : Find 2 numbers such that their mean proportional is 25 and their third proportional is 25.

Option 1: 5 and 5

Option 2: 5 and 25

Option 3: 25 and 125

Option 4: 25 and 25

Question : What is the mean proportional between 3 and 27?

Option 1: 30

Option 2: 81

Option 3: 15

Option 4: 9

Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:

Option 1: $1 \frac{3}{5}$

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

Option 3: $1 \frac{4}{7}$

Option 4: $2 \frac{3}{7}$

Question : The sum of the two numbers is 37 and the difference between their squares is 185, then the difference between the two numbers is:

Option 1: 10

Option 2: 4

Option 3: 5

Option 4: 3

Question : When P is subtracted from each of the numbers 8, 6, 2 and 9, the numbers so obtained in this order are in proportion. What is the mean proportional between (3P - 6) and (9P - 4)?

Option 1: 26

Option 2: 28

Option 3: 29

Option 4: 24