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Find the value of p and q, given p & q are single digits of 5.3pq7?

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Bunuel
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Find the value of p and q, given p & q are single digits of 5.3pq7? [#permalink] New post   27 Jan 2022, 02:30
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A
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E

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Question Stats:

46% (02:18) correct 54% (02:00) wrong based on 39 sessions
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Find the values of p and q, given p and q are single digits of 5.3pq7?

(1) On rounding to the nearest thousandth, the number becomes 5.35

(2) On rounding to the nearest hundredth, the number becomes 5.35



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Re: Find the value of p and q, given p & q are single digits of 5.3pq7? [#permalink] New post   27 Jan 2022, 03:38
(1) On rounding to the nearest thousandth, the number becomes 5.350
The number can be
5.3497 or 5.3457
Insufficient

(2) On rounding to the nearest hundredth, the number becomes 5.35
The number can be
5.3547 or 5.3457
Insufficient

(1)(2)Together
The number can be
5.3457 or 5.3467
Insufficient.

The answer is (E).
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Re: Find the value of p and q, given p & q are single digits of 5.3pq7? [#permalink] New post   27 Jan 2022, 05:47
Doesn't 5.3457 rounded to the nearest thousandth become 5.346?
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Re: Find the value of p and q, given p & q are single digits of 5.3pq7? [#permalink] New post   28 Jan 2022, 01:27
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Aham56 wrote:
Doesn't 5.3457 rounded to the nearest thousandth become 5.346?


Yes.

Does anyone else want to try this question?
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Re: Find the value of p and q, given p & q are single digits of 5.3pq7? [#permalink] New post   29 Jan 2022, 00:49
Statement 1

(1) On rounding to the nearest thousandth, the number becomes 5.350

The thousandths digit of 5.3pq7 is 'q' so the only way in which this can happen is if the number is 5.3497. I do not see any other possibility where the hundredths digit becomes '5' and the thousandths becomes '0'. For example, if the number were 5.3457, it would round to 5.346 to the nearest thousandth.

Sufficient

(2) On rounding to the nearest hundredth, the number becomes 5.35

The number can be 5.3547 or 5.3487

Insufficient

A is my answer
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Re: Find the value of p and q, given p & q are single digits of 5.3pq7? [#permalink]
29 Jan 2022, 00:49
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Bunuel
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