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The number 1000 lies between two consecutive perfect squares

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by Max@Math Revolution » Mon Mar 18, 2019 11:18 pm

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[GMAT math practice question]

The number 1000 lies between two consecutive perfect squares. Which one of these square integers is closest to 1000?

A. 29^2
B. 30^2
C. 31^2
D. 32^2
E. 33^2
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by Brent@GMATPrepNow » Tue Mar 19, 2019 4:07 am
Max@Math Revolution wrote:[GMAT math practice question]

The number 1000 lies between two consecutive perfect squares. Which one of these square integers is closest to 1000?

A. 29²
B. 30²
C. 31²
D. 32²
E. 33²
Let's examine some perfect squares that are close to 1000

30² = 900
31² = 961
32² = 1024

So, 1000 lies between 961 (aka 31²) and 1024 (aka 32²)
1000 is closer to 1024 (aka 32²) than to 961

Answer: D

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Brent
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by Max@Math Revolution » Thu Mar 21, 2019 1:14 am
=>

31^2 = 961
32^2 = 1024

1024 is the perfect square closest to 1000.

Therefore, D is the answer.
Answer: D
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by Scott@TargetTestPrep » Thu Mar 21, 2019 4:39 pm
Max@Math Revolution wrote:[GMAT math practice question]

The number 1000 lies between two consecutive perfect squares. Which one of these square integers is closest to 1000?

A. 29^2
B. 30^2
C. 31^2
D. 32^2
E. 33^2
We see that 32^2 = 1,024 and 31^2 = 961, so 32^2 is closest to 1000.

Answer: D

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