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Number line intervals
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Source: Beat The GMAT — Data Sufficiency |
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Patrick_GMATFix
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Think of the length of each interval as a constant (k) and you will be able to derive equations to prove sufficiency from each statement. The solution below is taken from the GMATFix App.
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Matt@VeritasPrep
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One tip on this question: many students miss this because they interpret the statements as saying x is 1/2 of something, and feel like the statements are insufficient because that half is undefined ("x is half of WHAT?"). But Statement 1 simply says x = .5 -- the number, .5 -- and with that the question is much easier to solve.
For instance, take the first statement. We know x is three tick intervals from 0. The intervals all have the same length, so let's call that length t. Now we know that the distance from 0 to x, or (x - 0), is 3t.
With that, we can write the equation x = 3t, substitute .5 for x, and find that t = (.5)/3, or t = 1/6.
From there, we note that y - 0 = 7t, so y = 7 * (1/6), or 7/6. SUFFICIENT!
A similar strategy works for S2. Hope that helps!
For instance, take the first statement. We know x is three tick intervals from 0. The intervals all have the same length, so let's call that length t. Now we know that the distance from 0 to x, or (x - 0), is 3t.
With that, we can write the equation x = 3t, substitute .5 for x, and find that t = (.5)/3, or t = 1/6.
From there, we note that y - 0 = 7t, so y = 7 * (1/6), or 7/6. SUFFICIENT!
A similar strategy works for S2. Hope that helps!
