Question

odd one out 5:8, 65:104, 12:36 and 75:120

Answer 1

$\Huge{\boxed{\red{\mathbb{QUESTION}}}}$

Find the odd one out : -

1. 5:8

2. 65:104

3. 12:36

4. 75:120

$\Huge{\boxed{\pink{\mathcal{ANSWER}}}}$

For finding the odd one out, we have to find it's simplest ratio.

1. 5:8

=> $\frac{5}{8}$

=> $\frac{5}{8}$

=>5:8

As there is no common factor between 5 and 8. Therefore, the simplest ratio between them is 5:8.

2. 65:104

=> $\frac{65}{104}$

=> $\frac{5 \times 13}{2^3 \times 13}$

=> $\frac{(5 \times 13) \div {13}}{(2^3 \times 13) \div {13}}$

=> $\frac{(5 \times 13) \cancel{ \div {13}}}{(2^3 \times 13) \cancel{ \div{13}}}$

=> $\frac{5}{2^3}$

=> $\frac{5}{8}$

=> Ratio = 5:8

3. 12:36

=> $\frac{12}{36}$

=> $\frac{12}{3 \times 12}$

=> $\frac{\cancel{12}}{ 3 \times \cancel{12}}$

=> $\frac{1}{3}$

=> Ratio = 1:3

4. 75:120

=> $\frac{75}{120}$

=> $\frac{15 \times 5}{15 \times 8}$

=> $\frac{5}{8}$

=> Ratio = 5:8

$\Large{\bold{Ratio\:of,}}$

1. 5:8 => 5:8

2. 65:104 => 5:8

3. 12:36 => 1:3

4. 75:120 => 5:8

$\LARGE{\bold{Odd\:one\:is\:12:36.}}$

$\Huge{\boxed{\purple{Odd\:one\:=\:12:36.}}}$