Variation

Q.

A machine in a soft drink factory fills $840$ bottles in six hours. How many bottles will it fill in five hours?

Q. $l\propto m^3$
If at l = 64, m = 2, then find the constant of variation.

1. 8
2. 4
3. 16
4. 2

Q. $f\propto \frac{1}{d^2}$
If at f = 16, d = 4, then find the constant of variation.

1. 1
2. 4
3. 64
4. 256

Q. $A\propto B^2$ and when A = 8, B = 2.
If B = 5, then find the value of A.

1. 50
2. 10
3. 25
4. 100

Q. $A\propto \sqrt[3]{3B}$ and when A = 3, B = 27.
If B = 125, then find the value of A.

1. 5
2. 10
3. 25
4. 125

Q. A mixture of paint is prepared by mixing $1$ part of red pigment with $8$ parts of base. In the following table, find the parts of base that need to be added for the respective parts of red pigment.


[5 Marks]

Q. $h\propto d$
If at h = 200, d = 25, then find the constant of variation.

1. 4
2. 6
3. 8
4. 10

Q. $f\propto d$

Which of the following statements is correct?

1. An increase in f leads to an increase in d.
2. An increase in f leads to a decrease in d.
3. An decrease in f leads to an increase in d.
4. None of the above

Q. $f\propto t^2$
If at f = 9, t = 3, then find the constant of variation.

1. 1
2. 0.5
3. 2
4. 0.25

Q. $h\propto d$
If at h = 15, d = 5, then find the constant of variation.

1. 2
2. 3
3. 4
4. 6

Q. $A\propto \sqrt{B}$ and when A = 16, B = 64.
If B = 81, then find the value of A.

1. 18
2. 36
3. 45
4. 9

Q.

$\text{In the equation}x(y+4)=1,y\text{is}$

1. Directly proportional to x

2. Inversely proportional to x
3. Can't say
4. Not proportional to x

Q.

What does the word "equation" suggest?

1. Two quantities are being compared

2. Two quantities are being compared, and one quantity is greater than the other

3. Two quantities are being compared, and one quantity is exactly same as the other quantity being compared

4. None of the above

Q.

If two cardboard boxes occupy 500 cubic centimetres space, then how much space is required to keep 200 such boxes?

1. 25, 000 cc

2. 75, 000 cc

3. 1, 00, 000 cc

4. 50, 000 cc

Q. $\text{If}A\propto B\text{and}B\propto C,\text{then, what happens}\text{to C, when A decreases?}$

1. Remains the same
2. Decreases
3. None of the above
4. Increases