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Which of the following is equal to 59^2?

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Which of the following is equal to 59^2?  [#permalink]

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New post 27 Jan 2017, 04:28
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Which of the following is equal to \(59^2\)?

A. \(60^2-1\)
B. \(60^2-60-59\)
C. \(60^2-2*60\)
D. \(60^2+60-59\)
E. \(60^2-60+59\)

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Re: Which of the following is equal to 59^2?  [#permalink]

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New post 27 Jan 2017, 05:32
MathRevolution wrote:
Which of the following is equal to \(59^2\)?

A. \(60^2-1\)
B. \(60^2-60-59\)
C. \(60^2-2*60\)
D. \(60^2+60-59\)
E. \(60^2-60+59\)



59^2 = (60-1)^2
= 60^2 +1 -2*60
=60^2 +1 -120
=60^2 -119

Option (B) = 60^2-60-59= 60^2 -119

thus 59^2 = 60^2 -119

Ans B
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Re: Which of the following is equal to 59^2?  [#permalink]

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New post 27 Jan 2017, 07:04
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MathRevolution wrote:
Which of the following is equal to \(59^2\)?

A. \(60^2-1\)
B. \(60^2-60-59\)
C. \(60^2-2*60\)
D. \(60^2+60-59\)
E. \(60^2-60+59\)


59 = 60 - 1
So, 59² = (60 - 1)²
= 60² - 2(60) + 1 [since (a - b)² = a² - 2ab + b²]
= 60² - 60 - 60 + 1
= 60² - 60 - 59
= B

Cheers,
Brent
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Re: Which of the following is equal to 59^2?  [#permalink]

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New post 29 Jan 2017, 20:29
MathRevolution wrote:
Which of the following is equal to \(59^2\)?

A. \(60^2-1\)
B. \(60^2-60-59\)
C. \(60^2-2*60\)
D. \(60^2+60-59\)
E. \(60^2-60+59\)


I know this is the long way to do it but if you are decent at arithmetic then you can just calculate it. Got the answer in 1 min 30 secs. 59^2 is 3481. 60^2 is 3600.... 3600-x= 3481. x=119. -60-59= -119. B.
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Re: Which of the following is equal to 59^2?  [#permalink]

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New post 30 Jan 2017, 12:04
MathRevolution wrote:
Which of the following is equal to \(59^2\)?

A. \(60^2-1\)
B. \(60^2-60-59\)
C. \(60^2-2*60\)
D. \(60^2+60-59\)
E. \(60^2-60+59\)


\(59^2\) must be -

1. \(55^2< 59^2 < 60^2 = 3025 < 59^2 < 3600\)
2. The units digit of \(59^2\) must end in 1

(A) Units digit is 9
(B) Units digit is 1 and the result is less than \(60^2\)
(C) Units digit is 0
(D) Units digit is 1 , but result is > 60^2
(E) Units digit is 1 & result is < 60^2

Lets check option (B) as shown by GMATPrepNow and mark the answer as (B)
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Re: Which of the following is equal to 59^2?  [#permalink]

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New post 30 Jan 2017, 12:07
59^2=(60-1)^2
Manipulating it you get 60^2-60-59

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Re: Which of the following is equal to 59^2?  [#permalink]

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New post 31 Jan 2017, 18:29
59^2=(60-1)^2=60^2-2*60*1+1^2=60^2-60-60+1=60^2-60-59

Therefore, the answer is B.
Answer: B
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Re: Which of the following is equal to 59^2?  [#permalink]

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New post 05 Jul 2018, 16:49
MathRevolution wrote:
Which of the following is equal to \(59^2\)?

A. \(60^2-1\)
B. \(60^2-60-59\)
C. \(60^2-2*60\)
D. \(60^2+60-59\)
E. \(60^2-60+59\)


The efficient way of answering this question is to realize that 59 can be expressed as (60 - 1), and so 59^2 can be expressed as (60 - 1)^2.

59^2 = (60 - 1)^2 = 60^2 - 2(60) + 1 = 60^2 - 60 - 59

Answer: B
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Re: Which of the following is equal to 59^2? &nbs [#permalink] 05 Jul 2018, 16:49
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