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Question

Find the least number that must be added to 1300 so as to get a perfect square.


A

67

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B

69

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C

71

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D

68

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Solution

The correct option is B

69


Applying the long division method we have,

363130096 400 396 4

From above, it is clear that given number 1300 is greater than (36)2
So, we will have to add a minimum number we will add such a number which will make it square of just preceding number, which is 37
i.e., 362<1300<372

i.e., 1296<1300<1369

1369 - 1300 = 69

The required number is 69.


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