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Rahul took an odd number of prime numbers and added them. He found the result to be even. Which of the following could be concluded?

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Important Questions on Numbers and Their Properties

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When asked as to how many guavas Lovely has, she replies, 'if you add three-quarters of the number of guavas that I have to three-quarters of one guava, you will get the numbers of guavas I have'. How many guavas does she have?
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What is the remainder when [100 !+1] is divided by 101?
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A is a set of the first 10 natural numbers. B is a subset of A such that B consists of exactly 2 numbers, both co-primes to each other. Find the maximum number of such possible subsets.
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When written in the lowest term, rational numbers A and B have denominators 60 and 70, respectively. Now, A and B have been added. What is the smallest possible denominator of (A+B)?
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P, Q, R, S, and T are five prime numbers, where P<Q<R<S<T . It is also given that P+Q+R+S+T=482 . What is the value of P5?
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If n is a natural number greater than 1, then 1075n-1075n-1  is not divisible by:
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N is an even number 8 when written in the decimal system. If S is the sum of the digits of N, when it is written in base 7, we can surely say that S would always be:
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Find the last non zero digit of 96 !.