The sum of 4 consecutive two-digit odd numbers, when divided by 10 becomes a perfect square. Which of the following can possibly be one of these 4 numbers?

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Solution

The correct option is C
87

The sum has to end with a zero. The numbers have to end with 7,9,1,3. Option (d) is out. Go from answer options, answer is option (c).
The numbers are 87, 89, 91, 93 which add up to 360. 36 is a perfect square.

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