Question : There are three numbers A, B, and C such that twice of A is equal to thrice of B and four times of B is equal to five times of C. Then the ratio between A and C is:

Option 1: $3:4$

Option 2: $8:15$

Option 3: $15:8$

Option 4: $4:3$

Question : If the square of the sum of two numbers is equal to 4 times their product, then the ratio of these numbers is:

Option 1: 2 : 1

Option 2: 1 : 3

Option 3: 1 : 1

Option 4: 1 : 2

Question : The number 150328 is divisible by 23. If the digits are rearranged in descending order and five times of 13 is subtracted from the new number thus formed, then the resultant number will be divisible by:

Option 1: 3

Option 2: 5

Option 3: 11

Option 4: 2

Question : The value of $\frac{1 \frac{1}{2} \div 3 \frac{1}{4}+\frac{1}{2} \div \frac{13}{14}+\frac{1}{5}}{\frac{1}{5} \times 3 \frac{1}{2}-\frac{1}{3} \div 1 \frac{3}{4} \times 3 \frac{1}{2}}$ is:

Option 1: 33

Option 2: 36

Option 3: 38

Option 4: 40

Question : What is the simplified value of
$\left(1-\frac{1}{4-\frac{2}{1+\frac{1}{\frac{1}{3}+2}}}\right) \times \frac{15}{16} \div \frac{2}{3}$ of $2 \frac{1}{4}-\frac{3+4}{3^3+4^3}$

Option 1: $\frac{5}{13}$

Option 2: $\frac{4}{13}$

Option 3: $\frac{8}{13}$

Option 4: $\frac{6}{13}$