What should be added to 1670 to make it a perfect square?

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MP Vyapam Group 4 (Assistant Grade-3/Stenographer) Official Paper (Held On: 16 July, 2023 Shift 1)
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  1. 12
  2. 11
  3. 14
  4. 16

Answer (Detailed Solution Below)

Option 2 : 11
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MP व्यापम ग्रुप 4 सामान्य हिंदी सब्जेक्ट टेस्ट 1
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Detailed Solution

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Given:

Number = 1670

Formula used:

A perfect square is a number that can be obtained by squaring an integer.

Calculation:

First, find the square root of 1670.

√1670 ≈ 40.8656

The nearest integer to 40.8656 is 41.

Now, find the square of 41.

412 = 41 × 41 = 1681

The difference between 1681 and 1670 is:

1681 - 1670 = 11

Therefore, 11 should be added to 1670 to make it a perfect square.

∴ 11 should be added to 1670 to make it a perfect square (1681 = 412).

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