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teacher be able to divide

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by sanju09 » Thu Aug 12, 2010 8:32 pm
Four students were added to the dance class. Would the teacher be able to divide her students evenly into a dance team/s of 8?

(1) If 12 students were added the teacher could put everyone in team of 8 without any leftovers.
(2) The number of students in the class is currently not divisible by 8.


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Source: — Data Sufficiency |

by selango » Thu Aug 12, 2010 9:35 pm
Let number of students be x

(x+4)=8n? [n is an integer and groups of 8 students]

stmt1,

(x+12)=8n

x+4=8n-8

x+4=8(n-1)

x+4 is multiple of 8.

Suff

stmt2,

x is not divisible by 8.

x=8n+r

We don't know the remainder.

Insuff

Pick A
Last edited by selango on Thu Aug 12, 2010 10:46 pm, edited 1 time in total.
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by sanju09 » Thu Aug 12, 2010 10:33 pm
selango wrote:Let number of students be x

(x+4)=8n? [n is an integer and s groups of 8 students]

stmt1,

(x+12)=8n

x+4=8n-8

x+4=8(n-1)

x+4 is multiple of 8.

Suff

stmt2,

x is not divisible by 8.

x=8n+r

We don't know the remainder.

Insuff

Pick A
But, where did you use s in your work.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Join the discussion