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# Is y − x < 60 ? (1) When x and y are rounded to the nearest unit, the

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Re: Is y − x < 60 ? (1) When x and y are rounded to the nearest unit, the [#permalink]
Bunuel wrote:
Is y − x < 60 ?

(1) When x and y are rounded to the nearest unit, the results are 15 and 75, respectively.

(2) When x and y are rounded to the nearest ten, the results are 20 and 70, respectively.

Statement 1:

With this we know $$14.5 ≤ x < 15.5$$ and $$74.5 ≤ y < 75.5$$.

The biggest difference we can get is around 75.5 - 14.5 = 61, so we cannot guarantee y - x is less than 60. Insufficient.

Statement 2:

$$15 ≤ x < 25$$ and $$65 ≤ y < 75$$. The biggest difference is around 75 - 15 = 60. Thus y - x must be less than 60. Sufficient.

Ans: B

Originally posted by TestPrepUnlimited on 10 Sep 2020, 16:58.
Last edited by TestPrepUnlimited on 13 Sep 2020, 13:31, edited 1 time in total.
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Re: Is y − x < 60 ? (1) When x and y are rounded to the nearest unit, the [#permalink]
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TestPrepUnlimited wrote:
Bunuel wrote:
Is y − x < 60 ?

(1) When x and y are rounded to the nearest unit, the results are 15 and 75, respectively.

(2) When x and y are rounded to the nearest ten, the results are 20 and 70, respectively.

Statement 2:

$$15 ≤ x < 25$$ and $$65 ≤ y <70$$. The biggest difference is around 70 - 15 = 55. Thus y - x must be less than 60. Sufficient.

Ans: B

TestPrepUnlimited Sir,

Minor typo here :
It should be $$65 ≤ y < 75$$' Hence biggest difference is around 74-15= 59.
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Re: Is y − x < 60 ? (1) When x and y are rounded to the nearest unit, the [#permalink]
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Re: Is y − x < 60 ? (1) When x and y are rounded to the nearest unit, the [#permalink]
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