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How many even integers are there between 50^(1/2) and 150^(1/2)?

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Bunuel
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How many even integers are there between 50^(1/2) and 150^(1/2)? [#permalink] New post   08 Feb 2019, 05:49
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How many even integers are there between \(\sqrt{50}\) and \(\sqrt{150}\)?

A. 3
B. 5
C. 10
D. 50
E. 100
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A
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KSBGC
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Re: How many even integers are there between 50^(1/2) and 150^(1/2)? [#permalink] New post   08 Feb 2019, 06:01
Bunuel wrote:
How many even integers are there between \(\sqrt{50}\) and \(\sqrt{150}\)?

A. 3
B. 5
C. 10
D. 50
E. 100



\(\sqrt{50}\)= 7.011111

\(\sqrt{150}\)=12.10000


8-10-12

A is the correct answer.
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AliciaSierra
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How many even integers are there between 50^(1/2) and 150^(1/2)? [#permalink] New post   08 Feb 2019, 06:08
Bunuel wrote:
How many even integers are there between \(\sqrt{50}\) and \(\sqrt{150}\)?

A. 3
B. 5
C. 10
D. 50
E. 100


\(\sqrt{50}\) = \(\sqrt{2*5*5}\) = \(5\sqrt{2}\) = 5*1.41~ 7.05

\(\sqrt{150}\) = \(\sqrt{2*5*5*3}\) = \(5\sqrt{6}\) ~ 12.5

So even integers between 7.05 and 12.5 are 8,10,12.

Answer should be A.
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Jayshoot
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Re: How many even integers are there between 50^(1/2) and 150^(1/2)? [#permalink] New post   17 Nov 2019, 05:58
Let's say I don't know what \(\sqrt{2}\) and \(\sqrt{6}\) is, is there a more intuitive way to approach this?m[[m]
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Peddi
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Re: How many even integers are there between 50^(1/2) and 150^(1/2)? [#permalink] New post   17 Nov 2019, 06:08
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Jayshoot wrote:
Let's say I don't know what \(\sqrt{2}\) and \(\sqrt{6}\) is, is there a more intuitive way to approach this?m[[m]

There is no need of knowing√2 value here, just check for the nearest perfect squares like in this case 144 is nearest to 150, so the value of √150 should be 12.something so that includes 12 acc to question

Posted from my mobile device
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Re: How many even integers are there between 50^(1/2) and 150^(1/2)? [#permalink] New post   16 Feb 2024, 08:49
 
Bunuel wrote:
How many even integers are there between \(\sqrt{50}\) and \(\sqrt{150}\)?

A. 3
B. 5
C. 10
D. 50
E. 100

\(\sqrt{50} = 7.xx\) and \(\sqrt{150} = 12.xx\)

Even no's between \(7.xx\) & \(12.xx\) are \(8 , 10\) & \(12\), Answer must be (A) \(3\)
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Re: How many even integers are there between 50^(1/2) and 150^(1/2)? [#permalink]
16 Feb 2024, 08:49
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