Question 1: Which of the following statements are true?

Answer:

Hence True.

Hence True

Hence True

Hence True.

Q.2. Check whether the following numbers are in proportion or not:

Answer:

We have:

Therefore

We have

Therefore

.

We have

Therefore

We have:

Therefore

We have:

Therefore

Q.3. Find the value of *x* in each of the following:

Answer:

Q.4. Find the fourth proportional to:

Answer:

Let the fourth proportional term be

Let the fourth proportional term be

Let the fourth proportional term be

Let the fourth proportional term be

Q.5. Find the third proportional to:

Answer:

Then,

Q.6. Find the mean proportional between:

Answer:

Q.7. If is the third proportional to , find the value of

Answer:

Q.8. If are in continued proportion, find the value of

Answer:

Q.9. A rod was cut into two pieces in the ratio . If the length of the smaller piece was , then find the length of the longer piece.

Answer:

Q.10. The areas of two rectangular fields are in the ratio . Find the area of the smaller field if that of the larger field is sq. meters.

Answer:

Q.11. What number must be subtracted from each of the numbers so that the differences are proportional?

Answer:

Let the number to be subtracted

Therefore

solving for

Q.12. An alloy is to contain copper and zinc in the ratio . Find the quantity of zinc to be melted with kg of copper, to get the desired alloy.

Answer:

Let the quantity of zinc be

Very nice explaintatio

It help me alot.