I believe this to be one of those questions where it's best just to throw elegant solutions to the curb.
That number line is drawn accurately. Why wouldn't it be? We can see that the two candidates are near 2/5 and 3/5, which are close to 3/7 and 4/7, respectively.
3/7 - 2/5 = 15/35 - 14/35 = 1/35.
3/5 - 4/7 = 21/35 - 20/35 = 1/35.
Well, they're the same! But they're still the closest.
GMATPrep Number line
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Source: Beat The GMAT — Problem Solving |
- sanju09
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We witness the following order on number line:
1/7 < 1/5 < 2/7 < 2/5 < 3/7 < 4/7 < 3/5 < 5/7 < 4/5 < 6/7; and on a number line that is drawn to support the detailing, we can afford to eye-ball the possibilities. The following pairs seem to be among closests:
2/5 < 3/7 and 4/7 < 3/5 each has 1/35 of space in between.
1/7 < 1/5 < 2/7 < 2/5 < 3/7 < 4/7 < 3/5 < 5/7 < 4/5 < 6/7; and on a number line that is drawn to support the detailing, we can afford to eye-ball the possibilities. The following pairs seem to be among closests:
2/5 < 3/7 and 4/7 < 3/5 each has 1/35 of space in between.
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com












