Invertendo and Alternendo Property

Q.

Both $xandy$ are in direct proportion, then $\frac{1}{x}and\frac{1}{y}$ are:

1. in direct proportion

2. in inverse proportion

3. neither in direct nor in inverse proportion

4. sometimes in direct and sometimes in inverse proportion

Q.

Subtract $3\mathrm{l}(\mathrm{l}-4\mathrm{m}+5\mathrm{n})$ from $4\mathrm{l}(10\mathrm{n}-3\mathrm{m}+2\mathrm{l})$.

Q.

The sum of infinity of the progression $9-3+1-\frac{1}{3}+...$ is

1. $9$

2. $\frac{9}{2}$

3. $\frac{27}{4}$

4. $\frac{15}{2}$

Q.

Add the following: $\mathrm{ab}-\mathrm{bc},\mathrm{bc}-\mathrm{ca},\mathrm{ca}-\mathrm{ab}$

Q. If $\frac{a}{3}=\frac{b}{2}$ then find the value of the ratio
$\frac{5a+3b}{7a-2b}$.

1. $\frac{19}{17}$
2. $\frac{21}{17}$
3. $\frac{22}{17}$
4. $\frac{20}{17}$

Q.

Fill in the following boxes so that the four numbers are in proportion:

20, 18, 40, ___

Q. If 2 : 4 = 3 : 6, then 4 : 2 = _________.

1. 2 : 4
2. 6 : 3
3. 1 : 2
4. None of the above

Q. If a : b = c : d, then according to alternendo property.

1. a : d = b : c
2. a : c = b : d
3. b : a = d : c
4. d : a = c : b

Q.

How do you find the sum of a geometric series for which $a_1=48$, $a_n=3$, and $r=-\frac{1}{2}$?

Q. For four numbers a, b, c, d if a : b = c : d, then a : c = b : d. Which property of proportion is this?

1. Invertendo
2. Alternendo
3. Dividendo
4. Componendo

Q. $\frac{5}{2}=\frac{40}{100}$ can be wriiten as $\frac{2}{5}=\frac{100}{40}$ by using alternendo property of proportion.

1. True
2. False

Q.

If a : b = c : d, then according to alternendo property

1. a : c = b : d

2. a + b : b = c + d : d

3. a : d = b : c

4. b : a = d : c

Q.

If a:b is the reciprocal ratio of 10:9, then a:b is ____

1. 9 : 10

2. 10 : 9

3. 3 : 5

4. 4 : 9

Q.

If $\frac{8a-5b}{8c-5d}=\frac{8a+5b}{8c+5d}$, then $\frac{a}{b}=\frac{c}{d}$

1. True

2. False

Q. If $\frac{a}{3}=\frac{b}{2}$ then find the value of the ratio
$\frac{5a+3b}{7a-2b}$.

1. $\frac{21}{17}$
2. $\frac{19}{17}$
3. $\frac{22}{17}$
4. $\frac{20}{17}$

Q. Using invertendo property of proprtion, 3 : 2= 6 : 4 is written as ____.

1. 3 : 6= 2 : 4
2. 3 : 4= 2 : 4
3. 4 : 3= 6 : 2
4. 6 : 2= 3 : 4