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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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Which of the following is equal to 59^2?  [#permalink]

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27 Jan 2017, 03:28
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80% (01:17) correct 20% (01:20) wrong based on 110 sessions

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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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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" VP Joined: 05 Mar 2015 Posts: 1004 Re: Which of the following is equal to 59^2? [#permalink] ### Show Tags 27 Jan 2017, 04:32 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 CEO Joined: 11 Sep 2015 Posts: 3231 Location: Canada Re: Which of the following is equal to 59^2? [#permalink] ### Show Tags 27 Jan 2017, 06:04 Top Contributor 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 _________________ Test confidently with gmatprepnow.com Manager Joined: 19 Oct 2016 Posts: 70 Location: India Concentration: Marketing, Leadership Schools: IIMA (I) GMAT 1: 580 Q46 V24 GMAT 2: 540 Q39 V25 GMAT 3: 660 Q48 V34 GPA: 3.15 WE: Psychology and Counseling (Health Care) Re: Which of the following is equal to 59^2? [#permalink] ### Show Tags 29 Jan 2017, 19:29 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. Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4272 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: Which of the following is equal to 59^2? [#permalink] ### Show Tags 30 Jan 2017, 11:04 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) _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Manager Joined: 21 Jan 2016 Posts: 79 Location: India GMAT 1: 670 Q50 V30 WE: Engineering (Computer Software) Re: Which of the following is equal to 59^2? [#permalink] ### Show Tags 30 Jan 2017, 11:07 59^2=(60-1)^2 Manipulating it you get 60^2-60-59 Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6625 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following is equal to 59^2? [#permalink] ### Show Tags 31 Jan 2017, 17:29 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: Which of the following is equal to 59^2?  [#permalink]

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05 Jul 2018, 15:49
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

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Re: Which of the following is equal to 59^2? &nbs [#permalink] 05 Jul 2018, 15:49
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# Which of the following is equal to 59^2?

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