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Question
The sum of four consecutive two digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four members? (CAT 2006)
The sum of four consecutive two digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four members? (CAT 2006)
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Solution
The correct option is C 41
Option (c)
Sum of 4 consecutive odd numbers should result in a zero in the end, so as to be divisible by 10.
This happens in 7+9+1+3. Using options, we find that four consecutive odd numbers are 37, 39, 41 and 43, as the sum of these 4 numbers is 160, When divided by 10, we get 16 which is a perfect square.
Thus, 41 is one of the odd numbers.
Option (c)
Sum of 4 consecutive odd numbers should result in a zero in the end, so as to be divisible by 10.
This happens in 7+9+1+3. Using options, we find that four consecutive odd numbers are 37, 39, 41 and 43, as the sum of these 4 numbers is 160, When divided by 10, we get 16 which is a perfect square.
Thus, 41 is one of the odd numbers.
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