Question

Miss Prism, being duly sworn, was asked her age but remained stubbornly silent. Come, come, my good woman," snapped the judge. "You must answer the court's questions." Counsel intervened smoothly. "I understand, M’Lord that she is certainly over 40 and under 50, if it pleases you, M'Lord." "It does not please me, Sir Ambrose. I am thinking of finding her in contempt." This threat overcame some of Miss Prism's reticence, and she hastily deposed as follows: "When I stop speaking, I shall have made exactly two true statements. My age is divisible by 2. It is a perfect square. It is not 42. It is a prime number. It is divisible by 3". At this point, she stopped speaking. 'Perjury, I fancy," snapped the judge. "With respect, M’Lord, I fancy she has answered the question, if your Lordship will attend carefully to the various possibilities." How old is the lady?

Answer 1

42 would be the age of the Woman

Step-by-step explanation:

40 < Age < 50

Possibilities

41 , 42 , 43 , 44 , 45 , 46  , 47 , 48 , 49

Five statement

My age is divisible by 2

its perfect square

its not 42

It is a prime number

It is divisible by 3

Exactly Two are corrects :

if its perfect square is true then 49 should be age but in that case  all other statements are false

hence its perfect Square in not Correct statement

if its Prime numbe  & Not 42  are correct

then 41 , 43 , 47  , are possible ages

if two correct Statements are

divisible by 2 & Divisible by 3

then age should be 42 or 48

as its not 42 would be  incorrect statement

Hence 42 would be the age of the Woman

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