Question

(c)
75. From a number M subtract 1. Take the reciprocal of
the result to get the value of 'N'. Then which of the
following is necessarily true?
(a) 0<M<2 (b) M> 3
(d) l<M <5
(c) l< M<3​

Answer 1

Given :- From a number M subtract 1. Take the reciprocal of the result to get the value of 'N'. Then which of the

following is necessarily true ?

(a) M^N ≤ 2 .

(b) M^N > 3.

(d) 1 < M^N < 5.

(c) 1 < M^N < 3 .

Answer :-

we have,

→ N = 1/(M - 1)

putting M = 2 ,

→ N = 1

so,

→ M^N = 2^1 = 2

putting M = 3 ,

→ N = 1/2

so,

→ M^N = 3^(1/2) = √3 = 1.73

putting M = 4 ,

→ N = 1/3

so,

→ M^N = 4^(1/3) ≈ 1.59

putting M = 5 ,

→ N = 1/4

so,

→ M^N = 5^(1/4)= 1.49

putting M = 6 ,

→ N = 1/5

so,

→ M^N = 6^(1/5) = 1.43

conclusion :-

• Highest value of M^N = 2
• Value of M^N decreasing each time .

therefore, we can conclude that,

• Value of M^N is equal to 2 or less than 2 .

hence, (a) M^N ≤ 2 is correct answer.

Learn more :-

let a and b positive integers such that 90 less than a+b less than 99 and 0.9 less than a/b less than 0.91. Find ab/46

p...

https://brainly.in/question/40043888