67² + (2)(67)(133) + 133² =
A) 36,000
B) 40,000
C) 48,000
D) 54,000
E) 62,500
Answer: B
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67² + (2)(67)(133) + 133² =
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Brent Hanneson - Creator of GMATPrepNow.com
GMAT/MBA Expert
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Brent@GMATPrepNow
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- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
This question is part of our collection of Fool Me Once questions (https://www.gmatprepnow.com/articles/fo ... -questions), because many students will fail to see that this more of an Algebra question than a computational question.Brent@GMATPrepNow wrote: ↑Thu Nov 04, 2021 8:22 am67² + (2)(67)(133) + 133² =
A) 36,000
B) 40,000
C) 48,000
D) 54,000
E) 62,500
Answer: B
Source: www.gmatprepnow.com
In fact, if you recognize that 67² + (2)(67)(133) + 133² closely resembles the special product x² + 2xy + y², then you can calculate the value in a matter of seconds.
Notice that x² + 2xy + y² can be factored to get x² + 2xy + y² = (x + y)²
The expression 67² + (2)(67)(133) + 133² can be factored the same way.
We get: 67² + (2)(67)(133) + 33² = (67 + 133)² = (200)² = 40,000
Answer: B
Brent Hanneson - Creator of GMATPrepNow.com
