Photographs are sold in small, medium and large sizes. The cost of photographs according to their size is given in the table below:

Photograph size	Cost (Rs.)
Small	$50$
Medium	$80$
Large	$100$

$150$ photographs worth $₹10,250$ were sold. If $75$ of them were of small size, find how many large size photographs were sold?

 

Which of the following number is not a factor of $342$?

For an international school competition, students’ stay is booked in two hotels $– 148$ students in Hotel $1$ and $164$ students in Hotel $2$. An equal number of students are accommodated in each hotel room.

What can be the maximum number of students in a room?

Jaya baked mufins using paper liners and cherries. Some paper liner packets contain $8$ liners, while others contain $10$ liners. A packet of cherry contains $6$ cherries. Every mufin Jaya baked contained $1$ cherry. All cherries and paper liners were used up.

What can be the minimum number of mufins baked by her?

Jaya baked and sold vanilla mufins at $₹15$ and chocolate mufin at $₹18$. She earned equal amounts from the sale of both mufins. 

How many vanilla and chocolate mufins did she sell?

Three numbers are in the ratio $1:2:3$ and their $\mathrm{HCF}$is $6$, the numbers are

The measurement of a rectangular piece of land is to be verified quickly while minimising the errors in the measurement. The land has a length of $96 \mathrm{ft}$ and a width of $56 \mathrm{ft}$. 

What is the length of the longest measuring stick that can be used to measure each side of the land, without breaking it?