Question 1: Which of the following statements are true?
i) ii)
iii) iv)
Answer:
i)
Hence True.
ii)
Hence True
iii)
Hence True
iv)
Hence True.
Q.2. Check whether the following numbers are in proportion or not:
i) ii)
iii)
iv) v)
Answer:
i)
We have:
Therefore
Hence are not in proportion
ii)
We have
Therefore
Hence are in proportion.
iii)
We have
Therefore
Hence
are in proportional
iv)
We have:
Therefore
Hence are in proportion
v)
We have:
Therefore
Hence
are not in proportion
Q.3. Find the value of x in each of the following:
i) ii)
iii)
iv)
Answer:
i)
We have
ii)
We have
iii)
We have
iv)
We have
Q.4. Find the fourth proportional to:
i) ii)
iii)
iv)
Answer:
i)
Let the fourth proportional term be
We have
ii)
Let the fourth proportional term be
iii)
Let the fourth proportional term be
iv)
Let the fourth proportional term be
Q.5. Find the third proportional to:
i) ii)
iii)
iv)
Answer:
i)
Let the third proportional to
Then,
ii)
Let the third proportional to
Then
iii)
Let the third proportional to
Then
iv)
Let the third proportional to
Then
Q.6. Find the mean proportional between:
i) ii)
iii)
iv)
v)
Answer:
i)
Mean proportional between
ii)
Mean proportional between
iii)
Mean proportional between
iv)
Mean proportional between
v)
Mean proportional between
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:
We have
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:
We have
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
We have
Very nice explaintatio
It help me alot.