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If 90 < x < 100, is the units' digit of x equal to 9 ?

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AbdurRakib
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If 90 < x < 100, is the units' digit of x equal to 9 ? [#permalink] New post   06 Jun 2016, 11:13
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If 90 < x < 100, is the units' digit of x equal to 9 ?

(1) x + 0.4 < 100

(2) x + 0.5 > 100
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B
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Bunuel
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Re: If 90 < x < 100, is the units' digit of x equal to 9 ? [#permalink] New post   06 Jun 2016, 11:37
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AbdurRakib wrote:
If 90 < x < 100, is the units' digit of x equal to 9 ?

(1) x + 0.4 < 100

(2) x + 0.5 > 100


Similar question to practice: if-0-x-1-is-the-hundredths-digit-of-x-equal-to-199600.html
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Re: If 90 < x < 100, is the units' digit of x equal to 9 ? [#permalink] New post   04 Jan 2024, 08:03
can anyone please explain why b and not e
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Bunuel
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Re: If 90 < x < 100, is the units' digit of x equal to 9 ? [#permalink] New post   04 Jan 2024, 09:06
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karanbishti wrote:
can anyone please explain why b and not e


If 90 < x < 100, is the units' digit of x equal to 9 ?

(1) x + 0.4 < 100

This inequality simplifies to x < 99.6. When combined with 90 < x < 100, the range for x becomes 90 < x < 99.6. Therefore, the units digit of x could be any digit from 1 to 9, inclusive. Not sufficient.

(2) x + 0.5 > 100

This inequality simplifies to x > 99.5. When combined with 90 < x < 100, the range for x becomes 99.5 < x < 100. Therefore, the units digit of x can only be 9. Sufficient.

Answer: B.

Hope this is clear.
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Re: If 90 < x < 100, is the units' digit of x equal to 9 ? [#permalink]
04 Jan 2024, 09:06
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