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HCU MCA 2015 Paper

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Question : 2

Total: 75

A class of 25 students came to know that today was their professor’s birthday and asked him for sweets. The professor did not want to make things easy fro the students. He put the condition that he will give a hundred sweets to the entire class provided that when divided amongst the class nobody gets even number of sweets. Given the above information, which of the following is correct ?
(1) The students will get their wish as there are many ways to divide hundred.
(2) The students will not get their wish since the sum of odd number of odd numbers cannot be an even number.
(3) The students try to obtain a solution with 12 pairs of odd numbers and another odd number and succeed.

(1) only
(2) only
(3) only
(1) and (2)

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