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option A is the 100% right answer...All possible values of m lie between 42 and 66 ....
Step-by-step explanation:
Rational number :-
A number that can be expressed in the form p/q, where p and q are integers and q ≠ 0, is called a rational number.
we have given that, some rational numbers between 7 and 11 can be expressed in the form m/6 , where m is a natural number .
So,
→ (7/1) * (6/6) < m < (11/6) * (6/6)
→ (42/6) < m < (66/6)
rational numbers are :- (43/6) , (44/6) , (45/6), __________ (65/6)
Therefore,
→ 42 < m < 66.
Hence, All possible values of m lie between 42 and 66 . (Option A). (Ans.)
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