Question

consider the given two statement s. Statement A- "55:13 is greater than 98:13"; Statement B- 42:19 is less than 67:19" . which statements (s) is/ are true ? only statement B only statement A both the statement naither of the statement ​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Consider the given two statements.

Statement A - " 55:13 is greater than 98:13 "

Statement B - 42:19 is less than 67:19" .

which statements (s) is/ are true

• only statement B

• only statement A

• Both the statement

• Neither of the statement

EVALUATION

Statement : A

Here the first ratio

$\displaystyle \sf{ = 55 : 13}$

$\displaystyle \sf{ = \frac{55}{13} }$

Second ratio

$\displaystyle \sf{ = 98 : 13}$

$\displaystyle \sf{ = \frac{98}{13} }$

$\because \: \: \displaystyle \sf{98 > 55}$

$\therefore \: \: \displaystyle \sf{ \frac{98}{13} > \frac{55}{13} }$

Hence 55:13 is greater than 98:13

Hence Statement A is TRUE

Statement : B

Here the first ratio

$\displaystyle \sf{ = 42 : 19}$

$\displaystyle \sf{ = \frac{42}{19} }$

Second ratio

$\displaystyle \sf{ = 67 : 19}$

$\displaystyle \sf{ = \frac{67}{19} }$

$\because \: \: \displaystyle \sf{42 < 67}$

$\therefore \: \: \displaystyle \sf{ \frac{42}{19 } < \frac{67}{19} }$

Hence 42:19 is less than 67:19

Hence Statement B is TRUE

FINAL ANSWER

The correct option is

Both the statement are true

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Write 18.777. . . in p/q form.

https://brainly.in/question/29915810

2. Sum of rational numbers whose absolute value is 7/3

https://brainly.in/question/30899277