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What digit does t represent in the decimal 0.t73 ? (1) t < 5 (2) 0.t7

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Bunuel
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What digit does t represent in the decimal 0.t73 ? (1) t < 5 (2) 0.t7 [#permalink] New post  27 May 2018, 10:59
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77% (01:26) correct 23% (01:34) wrong based on 528 sessions

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What digit does t represent in the decimal 0.t73 ?


(1) \(t < 5\)

(2) \(0.t73 < \frac{1}{t}\)
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Re: What digit does t represent in the decimal 0.t73 ? (1) t < 5 (2) 0.t7 [#permalink] New post  27 May 2018, 11:59
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Solution



To find:
• The value of the digit t in the decimal 0.t73

Analysing Statement 1
• As per the information provided in statement 1, t < 5.
    o According to this, t can be any digit less than 5, but the value of t cannot be determined uniquely
Hence, statement 1 is not sufficient to answer.

Analysing Statement 2
• As per the information provided in statement 2, \(0.t73 < \frac{1}{t}\)
    o If t = 1, then \(0.173 < \frac{1}{1}\)
    o If t = 2, then \(0.273 < \frac{1}{2}\)
• As we have multiple possibilities which satisfy statement 2, we cannot get a unique answer
Hence, statement 2 is not sufficient to answer.

Combining Both Statements
• Even if we combine the information present in both the statements, we can see t can 1 or 2 – but we cannot determine a unique answer.
Hence, the correct answer is option E.

Answer: E
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Re: What digit does t represent in the decimal 0.t73 ? (1) t < 5 (2) 0.t7 [#permalink] New post  10 Jan 2023, 21:35
good question. bumping for tests.
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Re: What digit does t represent in the decimal 0.t73 ? (1) t < 5 (2) 0.t7 [#permalink]
10 Jan 2023, 21:35
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