Question : A man read $\frac{2}{5}$th of a book on the first day. He read $\frac{1}{3}$rd more on the second day than he read on the first day. 15 pages were left for the third day. The number of pages in the book is:

Option 1: 100

Option 2: 105

Option 3: 225

Option 4: 250

Question : The next term of the sequence $\left (1+\frac{1}{2} \right):\left (1+\frac{1}{2} \right) \left (1+\frac{1}{3} \right): \left (1+\frac{1}{2} \right)\left (1+\frac{1}{3} \right)\left (1+\frac{1}{4} \right): .........$ is:

Option 1: $3$

Option 2: $\left (1+\frac{1}{5} \right)$

Option 3: $5$

Option 4: $\left (1+\frac{1}{2} \right)\left (1+\frac{1}{5} \right)$

Question : The value of $\left[1 \frac{2}{7} \times\left\{3 \frac{1}{2} \div\left(\frac{1}{2}-\frac{1}{7}\right)\right\}\right] \div\left(4 \frac{1}{5} \times 1 \frac{1}{2}\right)$ is:

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

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

Option 3: $2$

Option 4: $1$

Question : The value of $1 \frac{2}{5}-\left[3 \frac{3}{4} \div\left\{1 \frac{1}{4} \div \frac{1}{2}\left(1 \frac{1}{2} \times 3 \frac{1}{3} \div 1 \frac{1}{3}\right)\right\}\right]$ is:

Option 1: 3

Option 2: 0

Option 3: 2

Option 4: 1

Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
$\left[\frac{1}{97}\right]:\left[\frac{1}{63}\right]::\left[\frac{1}{114}\right] :?:: \left[\frac{1}{89}\right]:\left[\frac{1}{55}\right]$

Option 1: $\left[\frac{1}{80}\right]$

Option 2: $\left[\frac{1}{77}\right]$

Option 3: $\left[\frac{1}{86}\right]$

Option 4: $\left[\frac{1}{83}\right]$

Question : Simplify:
$5 \frac{1}{3}-\left\{4 \frac{1}{3}+\left(3 \frac{1}{3} \div \overline{2 \frac{1}{3}-\frac{1}{3}}\right)\right\}$

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

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

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

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