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GMAT prep division and remainder
I went through the last 13 pages of threads but could not find these. Thank you for taking the time to answer these questions again.
1) If t is a positive integer and r is the remainder when t^2+5t+6 is divided by 7, what is the value of r?
1) When t is divided by 7, the remainder is 6.
2) When t^2 is divided by 7, the remainder is 1.
2) If 2/5 of the students at College C are business majors, what is the number of female studens at College C?
1) 2/5 of the male stuents at College C are business majors.
2) 200 of the female students at College C are business majors.
An Urch Guru Pundit Swami Sage
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1) remainder when t^2+5t+6/7
t/7 --- remainder =6
so, t could be 6,13,20,27,34 & so on
6^2+6*5+6/7 = 72/7=remainder=2
169+65+6/7 =240/7 = remainder=2
400+100 +6/7 = 506/7 = remainder=2
27^2+27*5+6/7 = remainder=2
so, t^2 could be 1,36,64,169 & so on
so, t could be 1,6,8,13 & so on
1+5+6/7 = remainder=5
36+30+6/7 = remainder=2
2) Refer to
http://www.urch.com/forums/gmat-data...-students.html (Female students)
Last edited by manish8109; 07-17-2006 at 02:58 AM.
Reason: Automerged post
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