Question : A number is first increased by 16% and then increased by 20%. The number so obtained has now decreased by 40%. The net decrease percentage in the original number is:

Option 1: $16 \frac{12}{25}$%

Option 2: $15 \frac{9}{25}$%

Option 3: $11 \frac{13}{25}$%

Option 4: $13 \frac{7}{25}$%

Question : If the numerator of a fraction is increased by 140% and the denominator of the fraction is decreased by 20%, the resultant fraction is $\frac{12}{7}$. Find the original fraction.

Option 1: $\frac{4}{9}$

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

Option 3: $\frac{7}{6}$

Option 4: $\frac{8}{9}$

Question : Disha takes 12 hours to copy a 75-page manuscript, while Mohit can copy the same manuscript in 10 hours. How many hours will it take for them to copy a 150-page manuscript if they work together?

Option 1: $10 \frac{10}{11}$ hours

Option 2: $9 \frac{9}{11}$ hours

Option 3: $8 \frac{9}{11}$ hours

Option 4: $11 \frac{8}{11}$ hours

Question : If $\left(3 y+\frac{3}{y}\right)=8$, then find the value of $\left(y^2+\frac{1}{y^2}\right)$.

Option 1: $5\frac{1}{9}$

Option 2: $4\frac{5}{6}$

Option 3: $7\frac{1}{9}$

Option 4: $9\frac{1}{9}$

Question : The next number of the sequence $\frac{1}{2},\frac{3}{4},\frac{5}{8},\frac{7}{16},........$ is:

Option 1: $\frac{10}{24}$

Option 2: $\frac{11}{32}$

Option 3: $\frac{9}{24}$

Option 4: $\frac{9}{32}$