"Harry Potter and the Sorcerer’s Stone" is the first book of the Harry Potter series written by J.K. Rowling. Roughly $120$ million copies of the book were sold worldwide.

Which of the following numbers is $120$ million?

Tara bought $2$ pens for $₹15$ each and $18$ chocolates for $₹15$ each. She calculated the amount spent by writing down the numerical expression as, $2\times 15+18\times 15$.

Which of the following is the same as $2\times 15+18\times 15$?

Purvi forms two distinct $4-$digit numbers using the same set of digits $1, 3, 4$ and another digit, $X$.  In each number, a digit is used only once. She needs to select the least digit for $X$, such that sum of the number she forms is a $5-$digit number.

Which of the following is the digit, $X$?

The doors of rooms in a hotel need to be affixed with room numbers bearing roman numerals. Which of the following labels should be affixed on the door of room number $99$?

Bharati wrote the sum, $\mathrm{XX}+\mathrm{XX}$ using roman numerals in her notebook.

Which of the following is the sum representing $\mathrm{XX}+\mathrm{XX}$?

Mala needs to find the product of $95$ and $102$. She wrote the product as $\left(90+5\right)\times \left(100+2\right)$

Which of the following expressions gives the product Mala needs to find?

$52$ students each from $190$ schools participated in a cultural competition. 

Which of the following is the closest to the number of students who participated in the event?

Lakshmi is multiplying two numbers, $8950\times 205$ and she needs the exact value. Given below is her work.

$\left(1\right)$ $9000\times 200=1800000$

$\left(2\right)$ $(9000-8950)\times (205-200)=50\times 5=250$

$\left(3\right)$ $1800000-250=1799750$

 Which of the following numbers must be added to her answer in the third step to get the exact value of the product?