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kapilnegi
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 28 May 2008, 00:52
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If Z is an integer, is 22 a factor of Z?

(1) 22 is a factor of 15Z.

(2) 22 is a factor of 16Z.

A) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D) Either statement BY ITSELF is sufficient to answer the question.

E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question



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sondenso
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 28 May 2008, 01:03
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kapilnegi
If Z is an integer, is 22 a factor of Z?

(1) 22 is a factor of 15Z.

(2) 22 is a factor of 16Z.

A) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D) Either statement BY ITSELF is sufficient to answer the question.

E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question
Show more

A
The question is similar to Z is divisible by 2 and 11?

1. 3*5Z is divisible by 2 and 11, so Z must divisible by 2 and 11. suff
2. 16Z is divisible by 11 and 2, you can be sure that z is divisible by 11 but you can not sure that z itself divisible by 2. Not suff
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 28 May 2008, 08:24
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kapilnegi
If Z is an integer, is 22 a factor of Z?

(1) 22 is a factor of 15Z.

(2) 22 is a factor of 16Z.

A) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D) Either statement BY ITSELF is sufficient to answer the question.

E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question
Show more


Essentially is z/22? is z/11*2?

1: Yes b/c 15z --> 3*5*z/2*11 says its divisble by 22.

2: We dont know b/c 16 has several 2's in it.

A
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 28 May 2008, 08:46
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jallenmorris
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kapilnegi
If Z is an integer, is 22 a factor of Z?

(1) 22 is a factor of 15Z.

(2) 22 is a factor of 16Z.

A) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D) Either statement BY ITSELF is sufficient to answer the question.

E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question


Essentially is z/22? is z/11*2?

1: Yes b/c 15z --> 3*5*z/2*11 says its divisble by 22.

Can you explain this further?

2: We dont know b/c 16 has several 2's in it.

A
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(1) 22 is a factor of 15Z. THUS ---> 15Z/22 = a whole number.
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 28 May 2008, 08:47
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How do you know 22 is a factor of 15Z?
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sondenso
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 28 May 2008, 19:18
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jallenmorris
How do you know 22 is a factor of 15Z?
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GMATBLACKBELT
1: Yes b/c 15z --> 3*5*z/2*11 says its divisble by 22
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3, 5, 2, 11 is co-prime, so z must be divisible by 2*11 in order to get 15z/22 an integer. Clear? If not clear, let me know! :lol:
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ritula
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 30 May 2008, 00:53
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I will go for A.
Kapil, whts the OA?
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jallenmorris
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 30 May 2008, 05:52
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I guess I'm just not clear on co-prime numbers.

sondenso
jallenmorris
How do you know 22 is a factor of 15Z?

GMATBLACKBELT
1: Yes b/c 15z --> 3*5*z/2*11 says its divisble by 22

3, 5, 2, 11 is co-prime, so z must be divisible by 2*11 in order to get 15z/22 an integer. Clear? If not clear, let me know! :lol:
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If Z is an integer, is 22 a factor of Z? (1) 22 is a factor 30 May 2008, 05:53
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Sodenso, I'm not clear on why it is A. Do you mind explaining in more detail? Thanks



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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