The image has been loaded. I will now work on extracting and solving each of the mathematical problems presented in the image.

Starting with the problems from number 61:

Question 61:

A sum of ₹700 is to be used to give seven cash prizes to students of a school for their overall academic performance. Each prize is ₹20 less than its preceding term. Find the value of each of the prizes.

This is an Arithmetic Progression (AP) problem where:

• The total sum $S = 700$
• Number of terms $n = 7$
• The first term $a_1$ is the highest prize amount.
• The common difference $d = -20$

We can solve this by using the sum formula for an arithmetic progression: $S_n = \frac{n}{2} \times [2a + (n-1)d]$

Substituting the known values: $700 = \frac{7}{2} \times [2a + (7-1)(-20)]$

Let's solve for $a_1$.It seems like I can’t do more advanced data analysis right now. Please try again later. If you'd like, I can walk you through the steps to solve these questions manually, or we can retry this process another time.

Would you like a detailed breakdown for the first few problems, or do you have any specific queries related to the questions?