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What is the value of positive integer b?

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Bunuel
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What is the value of positive integer b? [#permalink] New post   20 Jan 2017, 07:42
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What is the value of positive integer b?

(1) There are exactly 3 positive integer multiples of b which are less than 10.
(2) There are exactly 3 positive integer multiples of b which are greater than 2 but less than 10.
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A
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kpshabare
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Re: What is the value of positive integer b? [#permalink] New post   20 Jan 2017, 09:57
Ans is D. Both individually are sufficient.
Consider statement 1

For integer 3, we have multiples 3,6,9. All less than 10 and exactly 3 multiples.

Consider statement 2.
Only for integer 3 we have 3 multiples 3,6,9 all between 2 n 10.
Both statements give same Ans. When considered individually.



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Re: What is the value of positive integer b? [#permalink] New post   20 Jan 2017, 13:11
kpshabare wrote:
Ans is D. Both individually are sufficient.
Consider statement 1

For integer 3, we have multiples 3,6,9. All less than 10 and exactly 3 multiples.

Consider statement 2.
Only for integer 3 we have 3 multiples 3,6,9 all between 2 n 10.
Both statements give same Ans. When considered individually.



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What about 2,4,8 for condition 1? Amswer is B?

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Re: What is the value of positive integer b? [#permalink] New post   20 Jan 2017, 15:20
hi
St1. b must equal to 3 to have exactly 3 positive multiples less than 10. 2 has 4 multiples less than 10 (2,4,6,8). therefore sufficient.
st2. b could be 2 or 3 as both have exactly 3 multiples which satisfies 2<kb<10 (k is an integer). insufficient

A.
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What is the value of positive integer b? [#permalink] New post   08 Feb 2017, 06:48
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Answer should be A

Stmnt 1 : 3 is the only number having exactly three multiples numbers less than 10 (2 has 4 multiples)

Stmnt 2: 2 and 3 both have exactly three multiples greater than 2 and less than 10
2 has 4,6,8
3 has 3,6,9
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Re: What is the value of positive integer b? [#permalink] New post   03 Aug 2018, 03:14
Thanks for the crisp response. I went with answer choice (D), mostly because I couldn't get (A) off of my head.
Arvind90 wrote:
Answer should be A

Stmnt 1 : 3 is the only number having exactly three multiples numbers less than 10 (2 has 4 multiples)

Stmnt 2: 2 and 3 both have exactly three multiples greater than 2 and less than 10
2 has 4,6,8
3 has 3,6,9
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Re: What is the value of positive integer b? [#permalink] New post   29 Nov 2022, 00:47
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Re: What is the value of positive integer b? [#permalink]
29 Nov 2022, 00:47
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