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Question

Find the least number, which needs to be added to 55078, so that the resulting number is a perfect square.


A

167

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B

157

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C

147

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D

137

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Solution

The correct option is C

147


By long division method

Since we are getting a remainder, we must add a number to 55078 such the the resulting number is the the square of 235. (one more than the quotient)

2352=55225

So, number which we need to add is 55225 - 55078

= 147


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