## Quant Question Of The Day: 24

[latexpage]

# Numbers

**Find the smallest integer n such that √(n + 99) – √n < 1.
**

Categories:
Quant question of the day, Question of the day

[latexpage]

**Find the smallest integer n such that √(n + 99) – √n < 1.
**

√(n + 99) – √n < 1

n + 99 < 1 + n + 2√n

98 < 2√n

49 < √n

Hence, the smallest integer = 49² + 1 = 2402 .

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50

2402 is the correct answer, Jatin .

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34

2402 is the correct answer, Mayank .

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2402

Perfect Manish !

It’s 2402

Congratulations! Manish 2402 is the correct answer.

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2402

Well Done! Shubhra

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2500

2402 is the correct answer, Nilesh .

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2402

Correct Devashish 🙂

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2401

It’s 2402 Khyati.

2401

2402 is the correct answer, Rohan.

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7

Why are we adding 1 to 2401?

Hi Surbhi.

49 < √nThis means that n^2>49^2

The smallest integer greater than 49^2 is arrived at by adding 1 to 49^2.

That’s why we add 1 to 2401.