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fast way to solve??

This topic has 7 expert replies and 1 member reply
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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fast way to solve??

Post Mon Apr 25, 2016 2:31 pm
1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20 =

A) 0
B) 2/15
C) 2/5
D) 9/20
E) 5/6

Answer: A

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Post Wed Apr 27, 2016 2:27 pm
Matt@VeritasPrep wrote:
One more solution for you!

If we have

1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20 = x

We can multiply both sides by 60 to clear the denominators.

20 + 30 - 50 + 12 + 15 - 27 = 60x

50 - 50 + 27 - 27 = 60x

0 = 60x

0 = x
Sweet!!

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Post Thu Apr 28, 2016 2:43 pm
Brent@GMATPrepNow wrote:
Sweet!!
Math never gets old, does it? Smile

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Post Wed Apr 27, 2016 2:27 pm
Matt@VeritasPrep wrote:
One more solution for you!

If we have

1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20 = x

We can multiply both sides by 60 to clear the denominators.

20 + 30 - 50 + 12 + 15 - 27 = 60x

50 - 50 + 27 - 27 = 60x

0 = 60x

0 = x
Sweet!!

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Brent Hanneson – Founder of GMATPrepNow.com
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Post Thu Apr 28, 2016 2:43 pm
Brent@GMATPrepNow wrote:
Sweet!!
Math never gets old, does it? Smile

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Post Thu Apr 28, 2016 4:49 pm
Matt@VeritasPrep wrote:
Brent@GMATPrepNow wrote:
Sweet!!
Math never gets old, does it? Smile
Agreed. It's one of the oldest subjects, and it never gets old!

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Post Wed Apr 27, 2016 2:16 pm
One more solution for you!

If we have

1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20 = x

We can multiply both sides by 60 to clear the denominators.

20 + 30 - 50 + 12 + 15 - 27 = 60x

50 - 50 + 27 - 27 = 60x

0 = 60x

0 = x

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Post Mon Apr 25, 2016 8:12 pm
boomgoesthegmat wrote:
1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20 =

A) 0
B) 2/15
C) 2/5
D) 9/20
E) 5/6

Answer: A
The easiest and the most efficient way to calculate this is by taking the LCM
However, we can be a bit creative in grouping the terms.
Group the terms in the following way

(1/3 + 1/2) - 5/6 + (1/5 + 1/4) - 9/20 = 5/6 - 5/6 + 9/20 - 9/20 = 0
Option A

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Post Mon Apr 25, 2016 4:25 pm
boomgoesthegmat wrote:
1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20 =

A) 0
B) 2/15
C) 2/5
D) 9/20
E) 5/6

Answer: A
1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20

= 1/60 * 60(1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20)

= 1/60 * (20 + 30 - 50 + 12 + 15 - 27)

= 1/60 * 0

= 0.

The correct answer is A.

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