some of the rational numbers between 7 and 11 can be expressed in the form m/6 where m belongs to a set of natural numbers . which of the following statement is true. (a) All possible values of m lie between 42 and 66 (b) All possible values of m lie between 42 and 77 (c) All possible values of m lie between 48 and 60 (d) All possible values of m lie between 66 and 77
Answers
Question :- some of the rational numbers between 7 and 11 can be expressed in the form m/6 where m belongs to a set of natural numbers . which of the following statement is true.
(a) All possible values of m lie between 42 and 66
(b) All possible values of m lie between 42 and 77
(c) All possible values of m lie between 48 and 60
(d) All possible values of m lie between 66 and 77.
Solution :-
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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Answer:
option a is correct all possible value of M lie between 42 and 66