Question

state true or false. please

Answer 1

(1) Ratio of 3:4      Vs         Ratio of 4:5

Multiply the ratio 3:4 by 5:5

3 × 5 : 4 × 5

==> 15 : 20

Multiply the ratio of 4:5 by 4:4

4 × 4 : 5 × 4

==> 16 : 20

Offcourse 16 : 20 > 15 : 20

Hence 4:5 > 3:4

TRUE

(2) 380 : 570

==> 190 × 2 : 190 × 3

==> 2 : 3

FALSE

(3) 10 rupees = 10×100 paise

==> 1000 paise

Ratio = 5 paise : 1000 paise

==> `1 : 200

TRUE

(4) a / b = 2 / 3 = 4 / 6

b / c = 6 / 8

Hence  a / c = 4 / 8

==> 1 / 2

c / a = 2

FALSE

(5) a,b, and c are in continued proportion :

a / b = b / c

==> b² = ac

FALSE

Hope it helps :)

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Answer 2

I)
$\huge\boxed{TRUE}$


Corresponding fraction: 4/5 and 3/4


Lcm of 4 and 5 = 20


$\huge \frac{4 \times 4}{5 \times 4} \: \frac{3 \times 5}{4 \times 5}$


$\huge\frac{16}{20} > \frac{15}{20}$


Therefore 4:5 > 3:4


ii)
$\huge\boxed{FALSE}$


( explaination in attachment)
As they are not equivalent.


iii)
$\huge\boxed{TRUE}$
( explaination in attachment)

iv)
$\huge\boxed{FALSE}$


v)
$\huge\boxed{FALSE}$