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Mathematical Induction

Prove by mathematical induction that the product of two consecutive integers is divisible by 2 like lets take 1 and 2 1*2=2 which is divisible by 2... but what expression should i make and how should i prove it? Second question is Prove by mathematical induction 10^n + 3(4)^n+2 + 5 is divisible by 9...

by Rabeea

Sun Apr 17, 2011 12:25 pm
Forum: Data Sufficiency
Topic: Mathematical Induction
Replies: 2
Views: 1621

this 49 was in my question may be absurd. But we have to suppose that this 49 is not mentioned now we have to find the largest possible number of students. from your concept if i get AuBuC 66 then by applying inclusion exclusion principle i can find the largest possible number of students. that is t...

by Rabeea

Tue Mar 01, 2011 11:54 pm
Forum: Problem Solving
Topic: Set Theory challenge
Replies: 21
Views: 8394

Actual question was Each of the 49 students in the class understands equations,excersiceregularly or loves litreture.20 understand equations, 20 excercise regularly and 26 loves litreture. 36 understands equations or excersice regularly 38 understands equation or loves litreture 40 excersice regular...

by Rabeea

Tue Mar 01, 2011 1:46 pm
Forum: Problem Solving
Topic: Set Theory challenge
Replies: 21
Views: 8394

sir there is still confusion,
For example we have three sets,
say it set A , set B and Set C
20 people in A, 20 in B and 26 in C
How can we find the maximum number of people that is AuBuC

by Rabeea

Tue Mar 01, 2011 11:43 am
Forum: Problem Solving
Topic: Set Theory challenge
Replies: 21
Views: 8394

why we have taken cheese the largest possible value for the range?

by Rabeea

Tue Mar 01, 2011 11:02 am
Forum: Problem Solving
Topic: Set Theory challenge
Replies: 21
Views: 8394