Quant Question Of The Day: 24
[latexpage]
Numbers
Find the smallest integer n such that √(n + 99) – √n < 1.
[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 .
Check the solution and explanation here : http://tathagat.mba/quant-question-of-the-day-24/
Do try today’s question : http://tathagat.mba/quant-question-of-the-day-25/
34
2402 is the correct answer, Mayank .
Check the solution and explanation here : http://tathagat.mba/quant-question-of-the-day-24/
Do try today’s question : http://tathagat.mba/quant-question-of-the-day-25/
2402
Perfect Manish !
It’s 2402
Congratulations! Manish 2402 is the correct answer.
Try today’s Question : http://tathagat.mba/quant-question-of-the-day-25/
2402
Well Done! Shubhra
Give today’s question a shot : http://tathagat.mba/quant-question-of-the-day-25/
2500
2402 is the correct answer, Nilesh .
Check the solution and explanation here : http://tathagat.mba/quant-question-of-the-day-24/
Do try today’s question : http://tathagat.mba/quant-question-of-the-day-25/
2402
Correct Devashish 🙂
Try today’s question : http://tathagat.mba/quant-question-of-the-day-25/
2401
It’s 2402 Khyati.
2401
2402 is the correct answer, Rohan.
Try Today’s Question : http://tathagat.mba/quant-question-of-the-day-25/
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.