CAT / Maths Formula Book
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What is the formula for the sum of the first n natural numbers?
How do you calculate the sum of the squares of the first n natural numbers?
What is the formula for the sum of the cubes of the first n natural numbers?
How can you find the sum of the first n odd numbers?
What is the relationship between the sum of the first n natural numbers and the sum of their cubes?
In the division algorithm, what is the fundamental relationship between dividend, divisor, quotient, and remainder?
What constraint must the remainder satisfy in the division algorithm?
If a dividend is divided by a divisor, resulting in a quotient and remainder, how would you express the quotient in terms of the other values?
How does the division algorithm formula apply when the remainder is zero?
Compare the formulas for sum of squares and sum of cubes of first n natural numbers in terms of their complexity and components.
What is the formula to calculate profit percentage, and what are its two essential components?
How is loss percentage calculated, and how does it differ from profit percentage in its fundamental relationship?
Given a Cost Price (CP) and a Profit, how do you calculate the Selling Price (SP)? Conversely, how do you find SP if you have a Loss?
If you know the Selling Price (SP) and the profit made, how do you find the original Cost Price (CP)? What if you know the loss instead?
What is the definition of 'Discount' in commercial transactions, and what are the two price points involved?
How is the discount percentage calculated, and on which price is this percentage based?
A shopkeeper offers a 20% discount. If the Selling Price is $80, what formula would you use to find the Marked Price?
If an item is sold at a profit of 25%, and its Cost Price is $200, what is the formula to directly calculate its Marked Price if no discount is given?
What is the direct formula to calculate Selling Price when you know the Cost Price and the desired profit percentage?
How do you calculate the Selling Price if you incur a loss percentage instead of a profit?
A trader states that the loss percent on an item is equal to $(x/10)^2$. If x=20, what is the loss percentage?
Given the special formula for loss percentage as $(x/10)^2$, what is the corresponding formula for the 'Value of Loss' expressed in terms of x?
In the context of profit and loss, what is the fundamental relationship between Selling Price (SP), Cost Price (CP), and Profit?
What is the fundamental calculation for Loss, and how does it relate to Cost Price and Selling Price?
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