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If n^2 = 123,456,787,654,321, what is n?

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If n^2 = 123,456,787,654,321, what is n?  [#permalink]

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New post 02 Apr 2020, 08:09
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

50% (01:15) correct 50% (01:15) wrong based on 34 sessions

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If n^2 = 123,456,787,654,321, what is n?  [#permalink]

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New post 02 Apr 2020, 08:12
2
n2=123,456,787,654,321
n= 111,111,11
[ 1^2 =1 ; 11^2 = 121 ; 111^2 = 12321; 1111^2 = 1234321 ; .... ]
correct answer will be B
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Re: If n^2 = 123,456,787,654,321, what is n?  [#permalink]

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New post 02 Apr 2020, 08:34
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Top Contributor
1
Bunuel wrote:
If \(n^2 = 123,456,787,654,321\), what is n?

A. 12,344,321
B. 11,111,111
C. 1,235,789
D. 1,111,111
E. 111,111


We can also solve this question by testing some the values that are easy to square

Try 10,000,000² = (10,000,000)(10,000,000) = 100,000,000,000,000
This value is less than 123,456,787,654,321
So, n must be greater than 10,000,000
ELIMINATE C, D and E
Aside: To find the product (10,000,000)(10,000,000), we just add the zeros

Try 12,000,000² = (12,000,000)(12,000,000) = 144,000,000,000,000
This value is greater than 123,456,787,654,321
So, n must be less than 12,000,000
ELIMINATE A

By the process of elimination, the correct answer must be B

Cheers,
Brent
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Re: If n^2 = 123,456,787,654,321, what is n?   [#permalink] 02 Apr 2020, 08:34

If n^2 = 123,456,787,654,321, what is n?

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