Answer with logic..?

0 books or 1000 books
Either the 2nd or the 3rd statement is true
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The first case leads to an inconsistency
The 2nd to 0
The 3rd to 1000

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Having 0 books implies a null set, which, in this case is meaningless. The answer you are looking for is 1000.

OK, let's first translate the statements into math:
Statement 1: "Raju has more than 1000 books"
--> n > 1000
S2: "he has less than 1000 books"
--> n < 1000
S3: "Raju has at least one book"
--> n ≥ 1

If we only look at entire numbers (no 2½ books or something like that) we get the following scenario:
- Set 1 is a subset of set 3, i.e. all numbers that are greater than 1000 are also greater than 1.
Therefore, statement 1 cannot be true if only one statement is to be true.
- Set 2 and set 3 overlap for 1 ≤ n < 1000.

--> This leaves two answers.
1. Any number of books smaller than 1, i.e. n < 1. As we can rule out negative numbers that only leaves n=0; in other words Raju has no books.
2. n = 1000. As you will notice statement 1 does not include exactly 1,000 books as it says more (!) than 1000. Likewise, statement 2 doesn't include exactly 1,000 books (less than 1000). Therefore, these two statements leave a gap at n=1000 which is part of set 3 as 1,000 is "at least one".

In short, only one statement is true (if the number of books is an integer) if Raju has either 1,000 books or no books.

0 books = shyam correct

1000 books = geeta is correct
(cos 1000 is not more than 1000 and is not less than 1000 it is equal to 1000
- to have more than 1000 there must be at least 1001
- to have less than 1000 there must be 999 at most
so both shyam and ram are incorrect)

One Geeta (Srimad Bhagavat Geetha) is equal to thousand books.

Raju has no books..... zero..... then only Shyam's statement is true.
Alternatively, he has exactly 1000 books.... , that is, if only Geetha was right.

no book

DYODH

Geeta is the basis, with shyam you never know, Ram is always telling the truth

he has atleast one book is the answer

false that he has more then 1000
false that he has less then 1000
true that he has at least 1 book
so we see he has exactly 1000 books

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

I'll take Ram's word for it as Shyam doesn't even know the meaning of FEWER.... but of course logically he has exactly 1 000 books as that way, Geeta is right.

Any number from 1 to 1,000

The statement "He has less than 1,000 books" is wrong because it is ungrammatical. It should be FEWER than 1,000 books.

The only one that can be true is Geeta.

As I've never read a question like this before, I didn't know how to answer this question while explain the logic so I looked at the logic other used, and after reading them, I agree with those who answer 1000, from how I read the question. The names are India in origin, I presume, and knowing their culture, as I understand it, there are exponential degrees of meaning to essentially everything, in their comprehension of things. In trying to understand why such a question like this would be posed in the first place, outside of "do you understand the question", I couldn't find any alternate motive behind it, I could see, and recognized it ad genuine.


Sometimes question with no apparent answer does have one after all. I believe the Vedic/Hindu faiths also recognize this. I also happen to be aware that people often assume they know what they are talking about when it comes to facts and figures (thanks to law and crime tv shows and movies), and my initial sense I got from both Ram and Shyam was they weren't believable. Geeta did not speculate on a specific number, and remained true to himself and not putting on false pretenses as if he could know for sure how many books Raju has. Rather than admit that they don't know, Ram and Shyam contested one another as if they were for certain, when they couldn't be, as Raju could have possible added or subtracted to his collection.

Raju has 1000 books, which I concluded, as Geeta might have, that since both Ram and Shyam agree that Raju has books, he must have at least one, therefore is only Geeta's statement can be true, Raju has 1000 books.