What is the smallest number that must be added to 1780 to make it perfect square?

This question was previously asked in
Territorial Army Official Paper I (Conducted on 25 Sep 2022)
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  1. 39
  2. 49
  3. 59
  4. 69

Answer (Detailed Solution Below)

Option 4 : 69
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Detailed Solution

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Concept used:

Perfect square: A number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

Calculation:

F1 Ashis.K 06-05-2020 Savita D 4

∴ The required smallest number is 69, which is added to 1780 to make it perfect square.

Alternate MethodGiven:

The given number = 1780

Calculation:

 √1780 = 42.190

Now, finding the square of the next number

⇒ 432 = 1849

Required number = (1849 - 1780) = 69

∴ The required smallest number is 69, which is added to 1780 to make it perfect square. 

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