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# Mrs. Joseph teaches few art students in two classes, A and B. She can

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Joined: 02 Sep 2009
Posts: 52432
Mrs. Joseph teaches few art students in two classes, A and B. She can  [#permalink]

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21 Sep 2018, 00:31
00:00

Difficulty:

55% (hard)

Question Stats:

67% (02:18) correct 33% (02:22) wrong based on 27 sessions

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Mrs. Joseph teaches few art students in two classes, A and B. She can divide the students in class A into eight groups of x students each. However, if she divides the students in class B into four groups of y students each, three student will be left over. How many students are in class B?

(1) y = 2x + 1
(2) There are seven more students in class B than in class A.

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Re: Mrs. Joseph teaches few art students in two classes, A and B. She can  [#permalink]

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21 Sep 2018, 00:38
Bunuel wrote:
Mrs. Joseph teaches few art students in two classes, A and B. She can divide the students in class A into eight groups of x students each. However, if she divides the students in class B into four groups of y students each, three student will be left over. How many students are in class B?

(1) y = 2x + 1
(2) There are seven more students in class B than in class A.

Students in Class A = 8x

Students in Class B = 4y+3

Question : 4y+3 = ?

Statement 1: y = 2x + 1

i.e. 4y+3 = 4(2x+1)+3 = 8x+7 but x is unknown hence

NOT SUFFICIENT

Statement 2: There are seven more students in class B than in class A.

i.e. 4y+3 = 7+(8x) but x is unknown hence

NOT SUFFICIENT

Combining also gives us nothing as both statements are giving the same results hence

NOT SUFFICIENT

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Re: Mrs. Joseph teaches few art students in two classes, A and B. She can &nbs [#permalink] 21 Sep 2018, 00:38
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# Mrs. Joseph teaches few art students in two classes, A and B. She can

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