PS -101

Question 1

Write algo for GCD?

Answer 1

while(item2 > 0) {
			long temp = item2;
			item2 = item1%item2;
			item1 = temp;
		}

	return item1;

Question 2

What are the common property of discrete mathematics

Answer 2

Commutative
Associative
Distrubutive

Question 3

State the algo change problem?

Answer 3

Map denominationMap = new HashMap();
		int i = denomination.length -1;
		int usages = 0;

	while(change > 0 ) {
		if(denomination[i] <= change) {
		usages = 0;
		usages =   change/denomination[i];  //(change - (change % denomination[i])) / denomination[i];
		change =  change%denomination[i];
		denominationMap.put(denomination[i], usages);
		}
		i--; // as i must reduce , thus keeping out of if
	}

	return denominationMap;

Question 4

How do the proportions get solved

Answer 4

By cross multiplication

Question 5

What is the another way of saying percentage

Answer 5

Another way to say this is “Find out what number is the same part of 180 as 30 is of 100.”

Question 6

Should the words be converted to the operators and abstract functions in maths and coding?

Answer 6

Yes for e.g. johs age is 4 times ram, so the is converts into
j = 4r

Question 7

What is the operator conversion of :
sum/and 
less than/opposite
product/times of
is

Answer 7

sum/and +
less than/opposite -
product/times of *
is =