(Part - 1)

Problem 1 :

The sum of two numbers is 40. Let one of the numbers be x and let y be the product of the two numbers as a function of x. Determine the two numbers that create the maximum product and state the value of the largest product.

Solution :

Problem 2 :

How many four-digit numbers can be formed using the digits 0, 1, 3, 5 and 7? (No digit should be repeated in any number)

Solution :

Problem 3 :

Find the sum :

2log x + 2log x22log x3 + 2log x4 +............+ 2log xn

Solution :

Problem 4 :

A company will provide a tour bus for a fare of $60 per person if 20 or fewer people take tour. For each passenger in excess of 20, the fare is reduced by $2 per person.Let x be the number of people above 20 who take tour.

a)  Express the company’s revenue as a function of x.

b)  What is the greatest revenue that the company can receive?

Solution :

Problem 5 :

If a set of 4 parallel lines intersect with another set of 5 parallel lines, how many parallellograms are formed?

Solution :

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