[Math] How many books does Raju have

word problem

“My friend Raju has more than 1000 books”, said Ram.

“Oh no, he has less than 1000 books”, said Shyam.

“Well, Raju certainly has at least one book”, said Geeta.

If only one of these statements is true, how many books does Raju have?

Best Answer

He has either no books or 1000 books, which makes either the second statement or the third statement true. If he had between 1 and 999 (both inclusive) the second and third statements would be true, and if he had strictly more than 1000 the first and third statement would be true.

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