AQR Capital Management Interview Question: What's the square of 45?... | Glassdoor

Interview Question

Trader Interview New York, NY

What's the square of 45?

Answer

Interview Answer

6 Answers

5

45^2=(5*9)^2=25*81=25*80+25=25*4*20+25=100*20+25=2025

Amigo on Jun 25, 2012
2

45^2=(40+5)*(50-5)=40*50+(50-40)*5-5*5=2000+25=2025

Anonymous on Mar 30, 2013
2

45^2 = 2025
in general, ab * ac provided b+c = 10 then 2025 is eqv to,
20 i.e. a*(a+1) and 25 i.e. b*c

rp on Apr 2, 2013
1

In general, (a-b)^2=a^2-2ab+b^2

45^2=(50-5)^2=50^2-2*50*5+5^2=2500-500+25=2025 on Mar 16, 2015
0

45^2=9*5*9*5=45*9*5=405*5=2025

Anonymous on Jun 7, 2015
0

I would have done 45*45 = 45*10*4.5=450*4.5=(1600+200+225)=2025.

Anonymous on Oct 27, 2016

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